Fixed Arguments

Arguments associated with the fixed portion of the model are needed for each fixed variable that needs to be simulated. The fixed variables specified come from the formula argument. Interactions or the intercept are not included in the fixed arguments as these are generated automatically. Let’s start with an example.

library(simglm)

set.seed(321) 

# To-DO: Add knot variable and debug

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

fixed_data <- simulate_fixed(data = NULL, sim_arguments)
head(fixed_data, n = 20)

##    X.Intercept. time   weight age treat treat_orig level1_id id
## 1             1    0 231.1471  39     0    Control         1  1
## 2             1    1 158.6388  39     0    Control         2  1
## 3             1    2 171.6605  39     0    Control         3  1
## 4             1    3 176.4105  39     0    Control         4  1
## 5             1    4 176.2812  39     0    Control         5  1
## 6             1    5 188.0455  39     0    Control         6  1
## 7             1    6 201.8052  39     0    Control         7  1
## 8             1    7 186.9941  39     0    Control         8  1
## 9             1    8 190.1734  39     0    Control         9  1
## 10            1    9 163.4426  39     0    Control        10  1
## 11            1    0 190.4310  30     0    Control         1  2
## 12            1    1 224.5378  30     0    Control         2  2
## 13            1    2 185.6498  30     0    Control         3  2
## 14            1    3 253.2978  30     0    Control         4  2
## 15            1    4 145.3968  30     0    Control         5  2
## 16            1    5 155.8598  30     0    Control         6  2
## 17            1    6 193.6821  30     0    Control         7  2
## 18            1    7 192.6100  30     0    Control         8  2
## 19            1    8 197.3275  30     0    Control         9  2
## 20            1    9 193.3907  30     0    Control        10  2

The following example shows the five types of variables that can be generated. These types are specified with the var_type argument and can be one of the following five types:

‘time’: This type of variable is used for a time metric variable
‘continuous’: This is a continuous distribution, default is to use the rnorm distribution function for generation.
‘ordinal’: This generates ordinal data and is generated using the sample function.
‘factor’: This is a categorical or factor variable specification representing groups or categories.
‘knot’: This type of variable is generated based on another variable and represents a knot category variable.

Each variable type will be explored in more detail.

Finally, another common argument for all fixed variable types is the argument var_level. This defaults to var_level = 1 which would be a variable defined at the level 1 of the model (i.e. unique value for each row in the data). These can be changed to reflect the data level that is desired. For example, var_level = 2 would repeat values for each level 2 cluster found in the data and var_level = 3 would do the same for each level 3 cluster. Therefore for variables that are at level 2 or level 3, there will be fewer unique values in the data compared to level 1 variables.

Time Variable

For time variables used in longitudinal or repeated measures designs, the default metric is 0 to level1 sample size minus 1. This can be seen above in the output. To change the time variable metric the time_levels argument can be used. A vector of values to specify for the time variable can be given directly. For example, the following could be passed to alter the metric of the time variable: time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6) where now the time variable would increment in 0.5 units for the first 7 measurements and 1 unit increments for the last three measurements. This could represent a case when the measurements are collected every 6 months for the first 7 measurements and yearly after that.

Below is the output including the manual time variable specification. The only requirement is that the length of the time_levels argument must match the level1 sample size.

set.seed(321) 

# To-DO: Add knot variable and debug

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time',
                           time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6)),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

fixed_data <- simulate_fixed(data = NULL, sim_arguments)
head(fixed_data, n = 20)

##    X.Intercept. time   weight age treat treat_orig level1_id id
## 1             1  0.0 231.1471  39     0    Control         1  1
## 2             1  0.5 158.6388  39     0    Control         2  1
## 3             1  1.0 171.6605  39     0    Control         3  1
## 4             1  1.5 176.4105  39     0    Control         4  1
## 5             1  2.0 176.2812  39     0    Control         5  1
## 6             1  2.5 188.0455  39     0    Control         6  1
## 7             1  3.0 201.8052  39     0    Control         7  1
## 8             1  4.0 186.9941  39     0    Control         8  1
## 9             1  5.0 190.1734  39     0    Control         9  1
## 10            1  6.0 163.4426  39     0    Control        10  1
## 11            1  0.0 190.4310  30     0    Control         1  2
## 12            1  0.5 224.5378  30     0    Control         2  2
## 13            1  1.0 185.6498  30     0    Control         3  2
## 14            1  1.5 253.2978  30     0    Control         4  2
## 15            1  2.0 145.3968  30     0    Control         5  2
## 16            1  2.5 155.8598  30     0    Control         6  2
## 17            1  3.0 193.6821  30     0    Control         7  2
## 18            1  4.0 192.6100  30     0    Control         8  2
## 19            1  5.0 197.3275  30     0    Control         9  2
## 20            1  6.0 193.3907  30     0    Control        10  2

Continuous Variable

Continuous variables are generating using distribution functions (i.e. rnorm). Any distribution function found within R, or user written distribution functions can be used, however the default used in rnorm. To change the distribution function used, the argument dist can be specified. For example, if the Gamma distribution is desired for the weight variable, the following code would achieve this:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time',
                           time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6)),
               weight = list(var_type = 'continuous', dist = 'rgamma', 
                             shape = 3),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

fixed_data <- simulate_fixed(data = NULL, sim_arguments)
head(fixed_data, n = 20)

##    X.Intercept. time   weight age treat treat_orig level1_id id
## 1             1  0.0 5.922362  41     1  Treatment         1  1
## 2             1  0.5 1.500918  41     1  Treatment         2  1
## 3             1  1.0 1.894797  41     1  Treatment         3  1
## 4             1  1.5 2.307843  41     1  Treatment         4  1
## 5             1  2.0 1.975996  41     1  Treatment         5  1
## 6             1  2.5 2.882207  41     1  Treatment         6  1
## 7             1  3.0 3.064936  41     1  Treatment         7  1
## 8             1  4.0 1.703499  41     1  Treatment         8  1
## 9             1  5.0 7.518809  41     1  Treatment         9  1
## 10            1  6.0 2.442868  41     1  Treatment        10  1
## 11            1  0.0 7.855513  52     0    Control         1  2
## 12            1  0.5 1.008858  52     0    Control         2  2
## 13            1  1.0 3.452912  52     0    Control         3  2
## 14            1  1.5 7.881209  52     0    Control         4  2
## 15            1  2.0 2.262056  52     0    Control         5  2
## 16            1  2.5 3.255559  52     0    Control         6  2
## 17            1  3.0 4.160648  52     0    Control         7  2
## 18            1  4.0 2.333586  52     0    Control         8  2
## 19            1  5.0 1.900442  52     0    Control         9  2
## 20            1  6.0 1.445119  52     0    Control        10  2

This would be the resulting distribution of the weight variable generated.

library(ggplot2)

## Warning: package 'ggplot2' was built under R version 3.6.3

ggplot(fixed_data, aes(x = weight)) + 
  geom_density() + 
  theme_bw()

Ordinal Variable

Ordinal variable specification uses the sample function within R to generate ordinal variables that are whole integers. The required argument for these types of variables is levels. The levels argument takes a range or vector of integer values to be passed to the sample function within R. For example, these three specifications for the levels argument are valid: 3:60, seq(4, 60, 2), c(3, 10, 18, 24, 54, 60).

An additional optional argument is replace. The replace argument specified whether the sampling is done with or without replacement. The default behavior is to do sampling with replacement. If sampling without replacement is desired set replace = FALSE. See sample for more details on this argument.

Finally, the probability of selecting each value specified to the levels argument is also able to be specified through the prob argument. If prob is specified, it takes a vector of probabilities that must be the same length as the levels argument. The default behavior is for each value specified with levels to be equally likely to be sampled.

Factor Variable

Factor variables are generated similarly to ordinal variables with the sample function, however factor variables allow the generation of text or categorical variables in addition to numeric grouping variables. Therefore the only needed argument for factor variables is a vector of numeric or text strings representing the different groups to be generated. For example, both of these specifications are equivalent: c(1, 2, 3, 4) and c('Freshman', 'Sophomore', 'Junior', 'Senior'). Both of these specifications would generate data for these four groups, the difference is that the text labels will be used when text strings are specified.

An additional optional argument is replace. The replace argument specified whether the sampling is done with or without replacement. The default behavior is to do sampling with replacement. If sampling without replacement is desired set replace = FALSE. See sample for more details on this argument.

Finally, the probability of selecting each value specified to the levels argument is also able to be specified through the prob argument. If prob is specified, it takes a vector of probabilities that must be the same length as the levels argument. The default behavior is for each value specified with levels to be equally likely to be sampled.

Knot Variable

To come…

Random Error Arguments

By default, the random error is generated as random normal with a mean of 0 and standard deviation of 1. If this is the desired behavior, no additional simulation arguments need to be specified in the simulation arguments. For example, the code below generates random error using the fixed arguments already shown above.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
head(error_data, n = 20)

##         error level1_id id
## 1   1.7049032         1  1
## 2  -0.7120386         2  1
## 3  -0.2779849         3  1
## 4  -0.1196490         4  1
## 5  -0.1239606         5  1
## 6   0.2681838         6  1
## 7   0.7268415         7  1
## 8   0.2331354         8  1
## 9   0.3391139         9  1
## 10 -0.5519147        10  1
## 11  0.3477014         1  2
## 12  1.4845918         2  2
## 13  0.1883255         3  2
## 14  2.4432598         4  2
## 15 -1.1534395         5  2
## 16 -0.8046717         6  2
## 17  0.4560691         7  2
## 18  0.4203326         8  2
## 19  0.5775845         9  2
## 20  0.4463561        10  2

Optional Arguments for Random Error

The two main optional arguments for the random error component include a dist and variance that represent the error generating function and variance of the random error respectively. For example, if a t-distribution is desired for simulation of random error, dist = 'rt' can be used to specify the t-distribution as the generating distribution. When distributions other than random normal are specified, it is common that additional arguments will need to be specified for the generating distribution function (i.e. rt). In the rt example, the df argument is needed to specify the degrees of freedom for the t-distribution. Below is an example using a t-distribution.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
head(error_data, n = 20)

##         error level1_id id
## 1   2.7754417         1  1
## 2  -0.6105358         2  1
## 3   0.2388096         3  1
## 4   0.2364648         4  1
## 5  -0.5580779         5  1
## 6   1.5918703         6  1
## 7   5.3320327         7  1
## 8   0.3197329         8  1
## 9  -0.1541429         9  1
## 10 -1.7929619        10  1
## 11 -1.4292669         1  2
## 12 -1.6045961         2  2
## 13 -1.0007634         3  2
## 14 -1.5413444         4  2
## 15 -0.1818689         5  2
## 16 -1.7195087         6  2
## 17  0.2629315         7  2
## 18  0.8104919         8  2
## 19  0.2150117         9  2
## 20  2.1937363        10  2

Finally, the variance of the random error can also be specified to be something other than the default 1. For example, if the variance is desired to be 10, then the argument variance = 10 will set this variance. This variance works with any distribution function. For example, the following will generate data as a t-distribution with a variance of 10.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4, variance = 10),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
var(error_data$error)

## [1] 19.36487

Note that the variance does not actually equal 10 here. This is due to the generating distribution specified (i.e. t-distribution with 4 degrees of freedom) has a theoretical variance of 2. In cases when the random error has a variance other than 1, the variable needs to be standardized prior to converting to the desired variance value. The standardization can be done in two ways. One, an empirical mean and standard deviation of the generating distribution can be obtained by setting the argument ther_sim = TRUE. For example:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4, variance = 10, ther_sim = TRUE),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
var(error_data$error)

## [1] 6.893405

This simulation takes longer to run as the generated empirical mean and standard deviation for the standardization draws a large number of random values from the specified distribution. To speed up this process, the theoretical values can be specified directly within the ther_val argument as a vector with the mean specified first followed by the standard deviation. This is shown below:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4, variance = 10, ther_val = c(0, sqrt(2))),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
var(error_data$error)

## [1] 9.682433

Heterogeneity of Variance

It is also possible to generate heterogeneity of variance for the random error.

simulation_arguments <- list(
  formula = y ~ 1 + group,
  fixed = list(group = list(var_type = 'factor', 
                            levels = c('male', 'female'))),
  sample_size = 500,
  error = list(variance = 1),
  heterogeneity = list(variable = 'group',
                       variance = c(1, 8)),
  reg_weights = c(0, .15)
)

hetero_data <- simulate_fixed(data = NULL, simulation_arguments) %>%
  simulate_error(simulation_arguments) %>%
  simulate_heterogeneity(simulation_arguments)

hetero_data %>% 
  group_by(group) %>% 
  summarise(var_error = var(error), 
            var_o_error = var(orig_error))

## `summarise()` ungrouping output (override with `.groups` argument)

## # A tibble: 2 x 3
##   group var_error var_o_error
##   <dbl>     <dbl>       <dbl>
## 1     0      1.03        1.03
## 2     1      8.65        1.08

Random Effect Arguments

The random effect arguments are passed through a named element of the list to the simulation arguments called ‘randomeffect’. Within this element, each random effect specified in the formula must be specified as a named list. The named list allows the user to specify the names that will be used in the data simulation for the random effects. The default behavior of these random effects is to be simulated from a random normal distribution with mean 0 and variance of 1.

Many of the same arguments that have been discussed with the error simulation are possible for the random effect simulation arguments. These include: dist, variance, ther_sim, ther_val and other arguments that are needed to pass on the data generating function. In addition, the argument var_level first introduced with the fixed effects are present here indicating which level of the data structure the random effect should be generated at. These arguments will not be discussed in more detail here, but readers can see examples of these arguments within the fixed effects and random error sections above.

Below is an example that simulated two random effects in a two-level nested model and specifies the variance of 8 and 3 for the two random effects respectively. Finally, you will notice in the final output, the names of the random effect columns are specified by the names included in the list associated with the “randomeffect” portion of the simulation arguments.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                time_id = list(variance = 3, var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

random_data <- simulate_randomeffect(data = NULL, sim_arguments)
head(random_data, n = 20)

##       int_id   time_id level1_id id
## 1   4.822195  1.588733         1  1
## 2   4.822195  1.588733         2  1
## 3   4.822195  1.588733         3  1
## 4   4.822195  1.588733         4  1
## 5   4.822195  1.588733         5  1
## 6   4.822195  1.588733         6  1
## 7   4.822195  1.588733         7  1
## 8   4.822195  1.588733         8  1
## 9   4.822195  1.588733         9  1
## 10  4.822195  1.588733        10  1
## 11 -2.013949 -0.185436         1  2
## 12 -2.013949 -0.185436         2  2
## 13 -2.013949 -0.185436         3  2
## 14 -2.013949 -0.185436         4  2
## 15 -2.013949 -0.185436         5  2
## 16 -2.013949 -0.185436         6  2
## 17 -2.013949 -0.185436         7  2
## 18 -2.013949 -0.185436         8  2
## 19 -2.013949 -0.185436         9  2
## 20 -2.013949 -0.185436        10  2

Cross-Classified Random Effects

If cross-classified random effects are desired, these can be specified directly within the formula syntax as you would with lme4. For example, y ~ 1 + time + weight + age + treat + (1 + time| id) + (1 | neighborhood_id). When documenting the simulation arguments for the additional cross-classified random effect (i.e. (1 | neighborhood_id)), specifying cross_class = TRUE with that random effect to identify that this is indeed a cross-classified random effect. Secondly, you can also specify directly the number of clusters that are associated with this cross-classified factor, this can be different than those specified in the sample_size argument. This can be done with the num_ids argument. Below is an example with a single cross-classified random effect representing neighborhoods individuals belong in

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id) +
    (1 | neighborhood_id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                time_id = list(variance = 3, var_level = 2),
                int_nid = list(variance = 5, var_level = 2,
                               cross_class = TRUE,
                               num_ids = 12)),
  sample_size = list(level1 = 10, level2 = 20)
)

random_data <- simulate_randomeffect(data = NULL, sim_arguments)
head(random_data, n = 20)

##       int_id   time_id    int_nid neighborhood_id level1_id id
## 1   4.822195  1.588733  0.7319884               1         1  1
## 2   4.822195  1.588733  0.7319884               1         2  1
## 3   4.822195  1.588733  0.7319884               1         3  1
## 4   4.822195  1.588733  0.7319884               1         4  1
## 5   4.822195  1.588733  0.7319884               1         5  1
## 6   4.822195  1.588733  0.7319884               1         6  1
## 7   4.822195  1.588733  0.7319884               1         7  1
## 8   4.822195  1.588733  0.7319884               1         8  1
## 9   4.822195  1.588733  0.7319884               1         9  1
## 10  4.822195  1.588733  0.7319884               1        10  1
## 11 -2.013949 -0.185436  0.7319884               1         1  2
## 12 -2.013949 -0.185436  0.7319884               1         2  2
## 13 -2.013949 -0.185436  0.7319884               1         3  2
## 14 -2.013949 -0.185436  0.7319884               1         4  2
## 15 -2.013949 -0.185436  0.7319884               1         5  2
## 16 -2.013949 -0.185436  0.7319884               1         6  2
## 17 -2.013949 -0.185436 -5.0111674               2         7  2
## 18 -2.013949 -0.185436 -5.0111674               2         8  2
## 19 -2.013949 -0.185436 -5.0111674               2         9  2
## 20 -2.013949 -0.185436 -5.0111674               2        10  2

Missing Data Arguments

Missing data is the standard rather than the exception in real world data. Therefore, generating data that include missing is important for generating data that are representative of real world data. In the power analysis context, most power analyses do not include missing data in the power computations (particularly if these are closed form solutions), but power can be negatively affected by missing data.

Fortunatly, the simglm package contains many useful frameworks for generating missing data. To generate missing data, the generate_missing function can be used for this. This function is called after the complete data are generated. This means that the complete data and missing data will be generated. Currently three types of missing data are supported, dropout, random, and mar (missing at random). The specification of missing data arguments is done using a named element to the simulation argument list called “missing_data”.

Random Missing Data

First, lets explore random missing data. This structure is equivalent to the missing completely at random framework if you are familiar with Rubin’s missing data classifications. To generate random missing data the type = 'random' is specified. Two additional arguments are needed to generate the missing data, first the missing proportion needs to be specified with miss_prop and the name of the new response variable with missing data needs to be specified with new_outcome. Below is an example generating data with random missing data.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(miss_prop = .25, new_outcome = 'y_missing',
                      type = 'random'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)

##    X.Intercept. time   weight age treat treat_orig level1_id id    int_id
## 1             1    0 231.1471  39     0    Control         1  1 0.2244243
## 2             1    1 158.6388  39     0    Control         2  1 0.2244243
## 3             1    2 171.6605  39     0    Control         3  1 0.2244243
## 4             1    3 176.4105  39     0    Control         4  1 0.2244243
## 5             1    4 176.2812  39     0    Control         5  1 0.2244243
## 6             1    5 188.0455  39     0    Control         6  1 0.2244243
## 7             1    6 201.8052  39     0    Control         7  1 0.2244243
## 8             1    7 186.9941  39     0    Control         8  1 0.2244243
## 9             1    8 190.1734  39     0    Control         9  1 0.2244243
## 10            1    9 163.4426  39     0    Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y miss_prob
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674     0.646
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179     0.088
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536     0.534
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185     0.560
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444     0.119
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324     0.415
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665     0.718
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655     0.697
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087     0.928
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359     0.829
##    miss_prob y_missing
## 1          0  179.9674
## 2          1        NA
## 3          0  139.7536
## 4          0  145.3185
## 5          1        NA
## 6          0  160.4324
## 7          0  175.0665
## 8          0  164.6655
## 9          0  171.5087
## 10         0  156.0359

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))

## 
## FALSE  TRUE 
## 0.735 0.265

MAR Missing Data

Data that are missing at random (MAR) can be generated as well.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30,
                             var_level = 1),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(new_outcome = 'y_missing', miss_cov = 'weight', 
                      mar_prop = seq(from = 0, to = .9, length.out = 200),
                      type = 'mar'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)

##    X.Intercept. time   weight age treat treat_orig level1_id id    int_id
## 1             1    0 231.1471  39     0    Control         1  1 0.2244243
## 2             1    1 158.6388  39     0    Control         2  1 0.2244243
## 3             1    2 171.6605  39     0    Control         3  1 0.2244243
## 4             1    3 176.4105  39     0    Control         4  1 0.2244243
## 5             1    4 176.2812  39     0    Control         5  1 0.2244243
## 6             1    5 188.0455  39     0    Control         6  1 0.2244243
## 7             1    6 201.8052  39     0    Control         7  1 0.2244243
## 8             1    7 186.9941  39     0    Control         8  1 0.2244243
## 9             1    8 190.1734  39     0    Control         9  1 0.2244243
## 10            1    9 163.4426  39     0    Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y miss_prop
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674 0.8683417
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179 0.2035176
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536 0.3165829
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185 0.3844221
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444 0.3798995
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324 0.5562814
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665 0.7236181
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655 0.5201005
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087 0.5743719
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359 0.2442211
##    miss_prob missing y_missing
## 1  0.4186856       1        NA
## 2  0.7042782       0  125.9179
## 3  0.8222003       0  139.7536
## 4  0.7070236       0  145.3185
## 5  0.1005621       1        NA
## 6  0.2103423       1        NA
## 7  0.3023945       1        NA
## 8  0.6374396       0  164.6655
## 9  0.6387437       0  171.5087
## 10 0.8129966       0  156.0359

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))

## 
## FALSE  TRUE 
## 0.555 0.445

Dropout Missing Data

Dropout missing data is possible when simulating data from a longitudinal design. When requesting dropout missing data, observations are removed after a specific point in the time cycle. For example, perhaps an individual stops being a part of the study after the third measurement. To request this type of missing data, the type = 'dropout' can be specified. In addition, one new argument is needed, clust_var. This argument represents the id associated with the clusters with longitudinal data. Below is an example:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(miss_prop = .25, new_outcome = 'y_missing',
                      clust_var = 'id', type = 'dropout'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)

##    X.Intercept. time   weight age treat treat_orig level1_id id    int_id
## 1             1    0 231.1471  39     0    Control         1  1 0.2244243
## 2             1    1 158.6388  39     0    Control         2  1 0.2244243
## 3             1    2 171.6605  39     0    Control         3  1 0.2244243
## 4             1    3 176.4105  39     0    Control         4  1 0.2244243
## 5             1    4 176.2812  39     0    Control         5  1 0.2244243
## 6             1    5 188.0455  39     0    Control         6  1 0.2244243
## 7             1    6 201.8052  39     0    Control         7  1 0.2244243
## 8             1    7 186.9941  39     0    Control         8  1 0.2244243
## 9             1    8 190.1734  39     0    Control         9  1 0.2244243
## 10            1    9 163.4426  39     0    Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y missing
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674       0
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179       0
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536       0
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185       0
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444       0
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324       0
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665       0
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655       0
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087       0
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359       1
##    y_missing
## 1   179.9674
## 2   125.9179
## 3   139.7536
## 4   145.3185
## 5   148.2444
## 6   160.4324
## 7   175.0665
## 8   164.6655
## 9   171.5087
## 10        NA

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))

## 
## FALSE  TRUE 
##  0.74  0.26

We can also look now at the amount of missing by the time variable.

prop.table(table(is.na(data_w_missing$y_missing), data_w_missing$time))

##        
##            0    1    2    3    4    5    6    7    8    9
##   FALSE 0.10 0.10 0.10 0.10 0.10 0.09 0.07 0.06 0.02 0.00
##   TRUE  0.00 0.00 0.00 0.00 0.00 0.01 0.03 0.04 0.08 0.10

Specify location of dropout

If additional control is desired, specifying the location of the dropout is possible. In this situation, a vector is passed to dropout_location that specifies for each individual (more generally each level 2 unit) where the dropout occurs. Below is an example of this.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(new_outcome = 'y_missing',
      dropout_location = c(3, 9, 1, 6, 7, 8, 6, 9, 2, 4, 6, 5, 8, 9, 4, 5, 
                           6, 7, 2, 9),
                      clust_var = 'id', type = 'dropout'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)

##    X.Intercept. time   weight age treat treat_orig level1_id id    int_id
## 1             1    0 231.1471  39     0    Control         1  1 0.2244243
## 2             1    1 158.6388  39     0    Control         2  1 0.2244243
## 3             1    2 171.6605  39     0    Control         3  1 0.2244243
## 4             1    3 176.4105  39     0    Control         4  1 0.2244243
## 5             1    4 176.2812  39     0    Control         5  1 0.2244243
## 6             1    5 188.0455  39     0    Control         6  1 0.2244243
## 7             1    6 201.8052  39     0    Control         7  1 0.2244243
## 8             1    7 186.9941  39     0    Control         8  1 0.2244243
## 9             1    8 190.1734  39     0    Control         9  1 0.2244243
## 10            1    9 163.4426  39     0    Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y missing
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674       0
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179       0
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536       0
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185       1
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444       1
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324       1
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665       1
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655       1
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087       1
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359       1
##    y_missing
## 1   179.9674
## 2   125.9179
## 3   139.7536
## 4         NA
## 5         NA
## 6         NA
## 7         NA
## 8         NA
## 9         NA
## 10        NA

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))

## 
## FALSE  TRUE 
##  0.58  0.42

We can also look now at the amount of missing by the time variable.

prop.table(table(is.na(data_w_missing$y_missing), data_w_missing$time))

##        
##             0     1     2     3     4     5     6     7     8     9
##   FALSE 0.100 0.095 0.085 0.080 0.070 0.060 0.040 0.030 0.020 0.000
##   TRUE  0.000 0.005 0.015 0.020 0.030 0.040 0.060 0.070 0.080 0.100

Model Fit Arguments

The default behavior when fitting models to the generated data is to fit a model with the same formula as the generated data (i.e. formula simulation arguments). Secondly, the default model functions are lm/glm for single level simulation and lmer/glmer for multilevel simulation. Finally, the default regression weights specified in reg_weights are to compute statistics for power, type I error rates, and precision.

These defaults can be overriden by specifying simulation arguments through the named list called model_fit. Some examples were given in the Tidy Simulation vignette and the options that are able to be specified will depend on the model fitting function specified. A few examples are given for various model types, however, the user is directed to the documentation of the modeling functions specified through the model_function argument.

Changing Family Argument

For GLM models, users may wish to directly specify the family argument or change the link function within a specific family. For example, when generating data with a binary dependent variable, the logistic or probit links could be used when specifying the binomial family. Below is an example of using the binomial family with a logit link (the default link function).

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + weight + age + sex,
  fixed = list(weight = list(var_type = 'continuous', mean = 0, sd = 30),
               age = list(var_type = 'ordinal', levels = 0:30),
               sex = list(var_type = 'factor', levels = c('male', 'female'))),
  error = list(variance = 25),
  sample_size = 10,
  reg_weights = c(2, 0.3, -0.1, 0.5),
  outcome_type = 'binary',
  model_fit = list(
    model_function = 'glm',
    family = binomial
  )
)

simulate_fixed(data = NULL, sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  model_fit(sim_arguments) %>% .$family

## 
## Family: binomial 
## Link function: logit

The link function could then be changed to a probit link function with the following code:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + weight + age + sex,
  fixed = list(weight = list(var_type = 'continuous', mean = 0, sd = 30),
               age = list(var_type = 'ordinal', levels = 0:30),
               sex = list(var_type = 'factor', levels = c('male', 'female'))),
  error = list(variance = 25),
  sample_size = 10,
  reg_weights = c(2, 0.3, -0.1, 0.5),
  outcome_type = 'binary',
  model_fit = list(
    model_function = 'glm',
    family = binomial(link = 'probit')
  )
)

simulate_fixed(data = NULL, sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  model_fit(sim_arguments) %>% .$family

## 
## Family: binomial 
## Link function: probit

Adding Serial Correlation

Serial correlation can be added to longitudinal designs and fitted using the nlme R package. Below is an example of implementing this functionality in the data generation and model fitting.

To come…

Marginal Models

It is also possible to change the default model fitting functions. For example, an alternative model approach to mixed models is generalized estimating equations (GEE) or marginal models. One implementation of these models in R is the geepack package. Below is a marginal model in a longitudinal context.

set.seed(321) 

# To-DO: Add knot variable and debug

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time',
                           time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6)),
               weight = list(var_type = 'continuous', mean = 0, sd = 30),
               age = list(var_type = 'ordinal', levels = 0:30, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  reg_weights = c(0.4, 0.2, -0.5, 1, -0.6),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                time_id = list(variance = 3, var_level = 2)),
  error = list(variance = 5),
  outcome_type = 'binary',
  sample_size = list(level1 = 10, level2 = 20),
  model_fit = list(
    model_function = geepack::geeglm,
    formula = y ~ 1 + time + weight + age + treat,
    id = 'level1_id',
    family = binomial,
    corstr = 'ar1'
  )
)

simulate_fixed(data = NULL, sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  simulate_randomeffect(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  model_fit(sim_arguments) %>%
  extract_coefficients()

## # A tibble: 5 x 5
##   term        estimate std.error statistic    p.value
##   <chr>          <dbl>     <dbl>     <dbl>      <dbl>
## 1 (Intercept)   0.354     0.775    0.209   0.647     
## 2 time         -0.0148    0.169    0.00764 0.930     
## 3 weight       -0.170     0.0363  21.9     0.00000283
## 4 age           0.397     0.0908  19.1     0.0000126 
## 5 treat        -0.589     0.693    0.722   0.395

Power Arguments

Vary Simulation Arguments

The replicate_simulation function first shown in the “tidy_simulation” vignette, can directly allow for the varying of simulation arguments. In order to vary simulation arguments, an additional named list called vary_arguments can be added to the simulation arguments passed to the functions. The vary_arguments elements of the simulation arguments is a nested named list. Within the named list, the arguments that are wished to be varied are specified by name. For example, a common argument varied is sample size. The following example varies the sample size to return multiple simulated data sets with different sample sizes.

Note: A user would likely want to change plan(sequential) to something like plan(mutisession) or plan(multicore) to run these in parallel. plan(sequential) is used here for vignette processing.

library(future)

## Warning: package 'future' was built under R version 3.6.3

plan(sequential)

sim_arguments <- list(
  formula =  resp_var ~ 1 + time + factor(trt) + time:factor(trt) + 
    (1 + time | individual),
  reg_weights = c(4, 0.5, 0.75, 0),
  fixed = list(time = list(var_type = 'time'),
               trt = list(var_type = 'factor', levels = c('Drug', 'Placebo'), 
                          var_level = 2)
               ),
  randomeffect = list(int_clust = list(variance = .2, var_level = 2),
                      time_clust = list(variance = .3, var_level = 2)),
  replications = 3,
  error = list(variance = 1),
  vary_arguments = list(
    sample_size = list(list(level1 = 5, level2 = 50),
                       list(level1 = 5, level2 = 60))
  )
)

replicate_simulation(sim_arguments)

## [[1]]
##                       sample_size replication X.Intercept. time trt time.trt
## 1   list(level1 = 5, level2 = 50)           1            1    0   0        0
## 2   list(level1 = 5, level2 = 50)           1            1    1   0        0
## 3   list(level1 = 5, level2 = 50)           1            1    2   0        0
## 4   list(level1 = 5, level2 = 50)           1            1    3   0        0
## 5   list(level1 = 5, level2 = 50)           1            1    4   0        0
## 6   list(level1 = 5, level2 = 50)           1            1    0   0        0
## 7   list(level1 = 5, level2 = 50)           1            1    1   0        0
## 8   list(level1 = 5, level2 = 50)           1            1    2   0        0
## 9   list(level1 = 5, level2 = 50)           1            1    3   0        0
## 10  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 11  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 12  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 13  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 14  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 15  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 16  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 17  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 18  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 19  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 20  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 21  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 22  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 23  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 24  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 25  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 26  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 27  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 28  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 29  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 30  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 31  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 32  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 33  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 34  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 35  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 36  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 37  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 38  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 39  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 40  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 41  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 42  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 43  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 44  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 45  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 46  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 47  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 48  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 49  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 50  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 51  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 52  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 53  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 54  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 55  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 56  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 57  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 58  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 59  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 60  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 61  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 62  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 63  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 64  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 65  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 66  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 67  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 68  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 69  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 70  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 71  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 72  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 73  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 74  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 75  list(level1 = 5, level2 = 50)           1            1    4   0        0
## 76  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 77  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 78  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 79  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 80  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 81  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 82  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 83  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 84  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 85  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 86  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 87  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 88  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 89  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 90  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 91  list(level1 = 5, level2 = 50)           1            1    0   1        0
## 92  list(level1 = 5, level2 = 50)           1            1    1   1        1
## 93  list(level1 = 5, level2 = 50)           1            1    2   1        2
## 94  list(level1 = 5, level2 = 50)           1            1    3   1        3
## 95  list(level1 = 5, level2 = 50)           1            1    4   1        4
## 96  list(level1 = 5, level2 = 50)           1            1    0   0        0
## 97  list(level1 = 5, level2 = 50)           1            1    1   0        0
## 98  list(level1 = 5, level2 = 50)           1            1    2   0        0
## 99  list(level1 = 5, level2 = 50)           1            1    3   0        0
## 100 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 101 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 102 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 103 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 104 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 105 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 106 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 107 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 108 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 109 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 110 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 111 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 112 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 113 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 114 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 115 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 116 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 117 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 118 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 119 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 120 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 121 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 122 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 123 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 124 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 125 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 126 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 127 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 128 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 129 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 130 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 131 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 132 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 133 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 134 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 135 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 136 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 137 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 138 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 139 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 140 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 141 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 142 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 143 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 144 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 145 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 146 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 147 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 148 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 149 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 150 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 151 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 152 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 153 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 154 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 155 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 156 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 157 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 158 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 159 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 160 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 161 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 162 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 163 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 164 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 165 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 166 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 167 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 168 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 169 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 170 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 171 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 172 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 173 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 174 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 175 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 176 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 177 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 178 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 179 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 180 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 181 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 182 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 183 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 184 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 185 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 186 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 187 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 188 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 189 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 190 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 191 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 192 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 193 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 194 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 195 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 196 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 197 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 198 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 199 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 200 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 201 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 202 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 203 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 204 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 205 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 206 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 207 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 208 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 209 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 210 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 211 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 212 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 213 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 214 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 215 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 216 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 217 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 218 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 219 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 220 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 221 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 222 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 223 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 224 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 225 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 226 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 227 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 228 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 229 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 230 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 231 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 232 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 233 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 234 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 235 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 236 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 237 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 238 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 239 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 240 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 241 list(level1 = 5, level2 = 50)           1            1    0   0        0
## 242 list(level1 = 5, level2 = 50)           1            1    1   0        0
## 243 list(level1 = 5, level2 = 50)           1            1    2   0        0
## 244 list(level1 = 5, level2 = 50)           1            1    3   0        0
## 245 list(level1 = 5, level2 = 50)           1            1    4   0        0
## 246 list(level1 = 5, level2 = 50)           1            1    0   1        0
## 247 list(level1 = 5, level2 = 50)           1            1    1   1        1
## 248 list(level1 = 5, level2 = 50)           1            1    2   1        2
## 249 list(level1 = 5, level2 = 50)           1            1    3   1        3
## 250 list(level1 = 5, level2 = 50)           1            1    4   1        4
## 251 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 252 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 253 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 254 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 255 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 256 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 257 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 258 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 259 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 260 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 261 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 262 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 263 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 264 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 265 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 266 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 267 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 268 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 269 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 270 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 271 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 272 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 273 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 274 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 275 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 276 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 277 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 278 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 279 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 280 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 281 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 282 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 283 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 284 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 285 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 286 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 287 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 288 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 289 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 290 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 291 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 292 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 293 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 294 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 295 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 296 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 297 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 298 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 299 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 300 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 301 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 302 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 303 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 304 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 305 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 306 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 307 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 308 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 309 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 310 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 311 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 312 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 313 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 314 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 315 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 316 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 317 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 318 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 319 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 320 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 321 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 322 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 323 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 324 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 325 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 326 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 327 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 328 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 329 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 330 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 331 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 332 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 333 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 334 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 335 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 336 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 337 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 338 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 339 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 340 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 341 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 342 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 343 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 344 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 345 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 346 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 347 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 348 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 349 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 350 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 351 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 352 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 353 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 354 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 355 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 356 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 357 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 358 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 359 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 360 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 361 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 362 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 363 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 364 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 365 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 366 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 367 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 368 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 369 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 370 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 371 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 372 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 373 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 374 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 375 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 376 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 377 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 378 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 379 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 380 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 381 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 382 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 383 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 384 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 385 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 386 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 387 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 388 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 389 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 390 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 391 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 392 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 393 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 394 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 395 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 396 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 397 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 398 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 399 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 400 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 401 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 402 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 403 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 404 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 405 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 406 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 407 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 408 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 409 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 410 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 411 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 412 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 413 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 414 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 415 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 416 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 417 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 418 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 419 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 420 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 421 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 422 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 423 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 424 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 425 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 426 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 427 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 428 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 429 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 430 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 431 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 432 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 433 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 434 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 435 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 436 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 437 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 438 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 439 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 440 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 441 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 442 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 443 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 444 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 445 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 446 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 447 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 448 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 449 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 450 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 451 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 452 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 453 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 454 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 455 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 456 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 457 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 458 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 459 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 460 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 461 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 462 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 463 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 464 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 465 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 466 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 467 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 468 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 469 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 470 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 471 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 472 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 473 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 474 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 475 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 476 list(level1 = 5, level2 = 50)           2            1    0   0        0
## 477 list(level1 = 5, level2 = 50)           2            1    1   0        0
## 478 list(level1 = 5, level2 = 50)           2            1    2   0        0
## 479 list(level1 = 5, level2 = 50)           2            1    3   0        0
## 480 list(level1 = 5, level2 = 50)           2            1    4   0        0
## 481 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 482 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 483 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 484 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 485 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 486 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 487 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 488 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 489 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 490 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 491 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 492 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 493 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 494 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 495 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 496 list(level1 = 5, level2 = 50)           2            1    0   1        0
## 497 list(level1 = 5, level2 = 50)           2            1    1   1        1
## 498 list(level1 = 5, level2 = 50)           2            1    2   1        2
## 499 list(level1 = 5, level2 = 50)           2            1    3   1        3
## 500 list(level1 = 5, level2 = 50)           2            1    4   1        4
## 501 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 502 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 503 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 504 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 505 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 506 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 507 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 508 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 509 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 510 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 511 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 512 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 513 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 514 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 515 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 516 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 517 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 518 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 519 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 520 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 521 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 522 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 523 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 524 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 525 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 526 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 527 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 528 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 529 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 530 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 531 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 532 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 533 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 534 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 535 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 536 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 537 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 538 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 539 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 540 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 541 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 542 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 543 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 544 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 545 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 546 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 547 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 548 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 549 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 550 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 551 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 552 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 553 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 554 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 555 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 556 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 557 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 558 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 559 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 560 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 561 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 562 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 563 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 564 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 565 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 566 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 567 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 568 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 569 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 570 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 571 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 572 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 573 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 574 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 575 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 576 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 577 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 578 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 579 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 580 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 581 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 582 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 583 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 584 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 585 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 586 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 587 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 588 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 589 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 590 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 591 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 592 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 593 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 594 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 595 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 596 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 597 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 598 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 599 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 600 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 601 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 602 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 603 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 604 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 605 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 606 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 607 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 608 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 609 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 610 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 611 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 612 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 613 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 614 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 615 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 616 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 617 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 618 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 619 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 620 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 621 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 622 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 623 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 624 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 625 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 626 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 627 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 628 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 629 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 630 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 631 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 632 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 633 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 634 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 635 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 636 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 637 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 638 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 639 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 640 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 641 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 642 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 643 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 644 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 645 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 646 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 647 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 648 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 649 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 650 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 651 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 652 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 653 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 654 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 655 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 656 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 657 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 658 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 659 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 660 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 661 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 662 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 663 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 664 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 665 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 666 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 667 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 668 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 669 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 670 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 671 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 672 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 673 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 674 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 675 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 676 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 677 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 678 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 679 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 680 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 681 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 682 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 683 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 684 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 685 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 686 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 687 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 688 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 689 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 690 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 691 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 692 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 693 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 694 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 695 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 696 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 697 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 698 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 699 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 700 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 701 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 702 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 703 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 704 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 705 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 706 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 707 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 708 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 709 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 710 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 711 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 712 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 713 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 714 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 715 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 716 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 717 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 718 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 719 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 720 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 721 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 722 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 723 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 724 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 725 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 726 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 727 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 728 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 729 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 730 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 731 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 732 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 733 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 734 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 735 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 736 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 737 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 738 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 739 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 740 list(level1 = 5, level2 = 50)           3            1    4   0        0
## 741 list(level1 = 5, level2 = 50)           3            1    0   1        0
## 742 list(level1 = 5, level2 = 50)           3            1    1   1        1
## 743 list(level1 = 5, level2 = 50)           3            1    2   1        2
## 744 list(level1 = 5, level2 = 50)           3            1    3   1        3
## 745 list(level1 = 5, level2 = 50)           3            1    4   1        4
## 746 list(level1 = 5, level2 = 50)           3            1    0   0        0
## 747 list(level1 = 5, level2 = 50)           3            1    1   0        0
## 748 list(level1 = 5, level2 = 50)           3            1    2   0        0
## 749 list(level1 = 5, level2 = 50)           3            1    3   0        0
## 750 list(level1 = 5, level2 = 50)           3            1    4   0        0
##     factor.trt._orig level1_id individual         error     int_clust
## 1               Drug         1          1  0.2515825635  0.1498642548
## 2               Drug         2          1 -0.3576693423  0.1498642548
## 3               Drug         3          1  0.6870605834  0.1498642548
## 4               Drug         4          1 -0.8042330471  0.1498642548
## 5               Drug         5          1  2.4845101245  0.1498642548
## 6               Drug         1          2  0.2705959065  0.1902210847
## 7               Drug         2          2  1.4490427757  0.1902210847
## 8               Drug         3          2  0.9080408838  0.1902210847
## 9               Drug         4          2 -0.1872343804  0.1902210847
## 10              Drug         5          2  0.6109388287  0.1902210847
## 11              Drug         1          3  2.2070375576 -0.5971658477
## 12              Drug         2          3 -1.4247369954 -0.5971658477
## 13              Drug         3          3  0.1576074424 -0.5971658477
## 14              Drug         4          3 -1.4168373852 -0.5971658477
## 15              Drug         5          3  0.0668860627 -0.5971658477
## 16              Drug         1          4  1.2524720468  0.2823365729
## 17              Drug         2          4  1.2794946433  0.2823365729
## 18              Drug         3          4  0.2693748753  0.2823365729
## 19              Drug         4          4 -0.1490665298  0.2823365729
## 20              Drug         5          4 -0.4731678724  0.2823365729
## 21           Placebo         1          5  1.1379289141  0.0980743367
## 22           Placebo         2          5  0.9779712747  0.0980743367
## 23           Placebo         3          5  0.4005387371  0.0980743367
## 24           Placebo         4          5 -0.0261500739  0.0980743367
## 25           Placebo         5          5  1.0294223912  0.0980743367
## 26           Placebo         1          6 -0.3444979293 -0.3277069181
## 27           Placebo         2          6  0.2249596489 -0.3277069181
## 28           Placebo         3          6 -0.3406807050 -0.3277069181
## 29           Placebo         4          6  0.7127983855 -0.3277069181
## 30           Placebo         5          6 -0.5557017578 -0.3277069181
## 31           Placebo         1          7 -1.1278358964 -0.0226787612
## 32           Placebo         2          7 -0.5585395553 -0.0226787612
## 33           Placebo         3          7  0.2331849410 -0.0226787612
## 34           Placebo         4          7 -0.6477721540 -0.0226787612
## 35           Placebo         5          7  0.9126159178 -0.0226787612
## 36              Drug         1          8 -0.0050703748  0.9471920918
## 37              Drug         2          8 -0.3201567140  0.9471920918
## 38              Drug         3          8 -0.2551971114  0.9471920918
## 39              Drug         4          8 -0.4551075897  0.9471920918
## 40              Drug         5          8 -2.7280594378  0.9471920918
## 41           Placebo         1          9 -0.6148529906 -0.2362420717
## 42           Placebo         2          9  0.2074580694 -0.2362420717
## 43           Placebo         3          9 -0.1495999362 -0.2362420717
## 44           Placebo         4          9  0.8761276493 -0.2362420717
## 45           Placebo         5          9  0.3797215568 -0.2362420717
## 46           Placebo         1         10 -0.1342558052  0.2536710865
## 47           Placebo         2         10 -1.6278556839  0.2536710865
## 48           Placebo         3         10 -0.0680630353  0.2536710865
## 49           Placebo         4         10 -0.8575471443  0.2536710865
## 50           Placebo         5         10 -0.0330441377  0.2536710865
## 51           Placebo         1         11  0.6064895172  0.5798230670
## 52           Placebo         2         11 -0.1252069357  0.5798230670
## 53           Placebo         3         11  0.0190416522  0.5798230670
## 54           Placebo         4         11  0.4001505697  0.5798230670
## 55           Placebo         5         11  1.2284074326  0.5798230670
## 56           Placebo         1         12 -1.7923575155 -0.8992019443
## 57           Placebo         2         12 -1.1351668476 -0.8992019443
## 58           Placebo         3         12  0.3003194011 -0.8992019443
## 59           Placebo         4         12  1.4418754886 -0.8992019443
## 60           Placebo         5         12  1.2497556944 -0.8992019443
## 61              Drug         1         13  0.9000576842  0.6191046624
## 62              Drug         2         13  0.9357243523  0.6191046624
## 63              Drug         3         13  1.6608330095  0.6191046624
## 64              Drug         4         13  0.0362471830  0.6191046624
## 65              Drug         5         13  1.2023877275  0.6191046624
## 66              Drug         1         14 -0.0304802749  0.0022137740
## 67              Drug         2         14 -0.9999926067  0.0022137740
## 68              Drug         3         14 -0.0289459570  0.0022137740
## 69              Drug         4         14  0.3898026888  0.0022137740
## 70              Drug         5         14  0.7905649778  0.0022137740
## 71              Drug         1         15 -1.5107131534 -0.1398628727
## 72              Drug         2         15  1.8288501595 -0.1398628727
## 73              Drug         3         15  0.9106676533 -0.1398628727
## 74              Drug         4         15 -0.7297349926 -0.1398628727
## 75              Drug         5         15  1.4851401497 -0.1398628727
## 76           Placebo         1         16  1.7497530635  0.5435570633
## 77           Placebo         2         16  0.1401080602  0.5435570633
## 78           Placebo         3         16  0.2519892889  0.5435570633
## 79           Placebo         4         16 -1.1410068051  0.5435570633
## 80           Placebo         5         16 -0.9943748234  0.5435570633
## 81           Placebo         1         17  0.6702807226  0.0103924161
## 82           Placebo         2         17  0.7723874795  0.0103924161
## 83           Placebo         3         17  0.1335462343  0.0103924161
## 84           Placebo         4         17 -0.3333539866  0.0103924161
## 85           Placebo         5         17 -0.2741649352  0.0103924161
## 86           Placebo         1         18  0.3780942876 -0.6763368845
## 87           Placebo         2         18  1.1368692215 -0.6763368845
## 88           Placebo         3         18  0.1155555452 -0.6763368845
## 89           Placebo         4         18 -0.9107878595 -0.6763368845
## 90           Placebo         5         18  0.2523112784 -0.6763368845
## 91           Placebo         1         19 -2.2785457469 -0.8232553340
## 92           Placebo         2         19 -0.8575822038 -0.8232553340
## 93           Placebo         3         19  0.3419619679 -0.8232553340
## 94           Placebo         4         19 -1.0962276557 -0.8232553340
## 95           Placebo         5         19 -0.6041339329 -0.8232553340
## 96              Drug         1         20 -1.5026807968 -0.3034570868
## 97              Drug         2         20 -0.8344132856 -0.3034570868
## 98              Drug         3         20  0.8044926419 -0.3034570868
## 99              Drug         4         20 -0.6221539543 -0.3034570868
## 100             Drug         5         20 -0.0952755289 -0.3034570868
## 101             Drug         1         21 -0.9996855403 -0.1194827853
## 102             Drug         2         21 -0.3577060546 -0.1194827853
## 103             Drug         3         21  0.3619420525 -0.1194827853
## 104             Drug         4         21 -0.6162004720 -0.1194827853
## 105             Drug         5         21  0.8774499129 -0.1194827853
## 106             Drug         1         22 -0.7213559344  0.1969554951
## 107             Drug         2         22 -1.0581138689  0.1969554951
## 108             Drug         3         22 -0.5935115385  0.1969554951
## 109             Drug         4         22 -1.0727133327  0.1969554951
## 110             Drug         5         22  1.2405951499  0.1969554951
## 111          Placebo         1         23 -0.7647581256  0.4120665537
## 112          Placebo         2         23 -0.2924694199  0.4120665537
## 113          Placebo         3         23  1.6254996723  0.4120665537
## 114          Placebo         4         23  0.0969902178  0.4120665537
## 115          Placebo         5         23 -0.5163011161  0.4120665537
## 116             Drug         1         24  0.8594754128 -0.5645168000
## 117             Drug         2         24  0.1528087485 -0.5645168000
## 118             Drug         3         24  0.0853060361 -0.5645168000
## 119             Drug         4         24 -0.9418356241 -0.5645168000
## 120             Drug         5         24  0.0554746581 -0.5645168000
## 121             Drug         1         25  0.5645192930  0.4781377265
## 122             Drug         2         25  0.2880903103  0.4781377265
## 123             Drug         3         25 -0.9827674435  0.4781377265
## 124             Drug         4         25  0.4718906816  0.4781377265
## 125             Drug         5         25 -0.2157212925  0.4781377265
## 126          Placebo         1         26 -1.3193656963  0.6759136188
## 127          Placebo         2         26 -0.1857574809  0.6759136188
## 128          Placebo         3         26 -1.3876809823  0.6759136188
## 129          Placebo         4         26 -0.3179107953  0.6759136188
## 130          Placebo         5         26  1.7841734906  0.6759136188
## 131          Placebo         1         27  0.4596772495 -0.0003914156
## 132          Placebo         2         27  0.5533721575 -0.0003914156
## 133          Placebo         3         27 -1.1953252414 -0.0003914156
## 134          Placebo         4         27  0.5944704166 -0.0003914156
## 135          Placebo         5         27  0.8274544982 -0.0003914156
## 136          Placebo         1         28 -0.6849661603  0.5632037678
## 137          Placebo         2         28 -0.2289087578  0.5632037678
## 138          Placebo         3         28 -0.3705477170  0.5632037678
## 139          Placebo         4         28 -0.2590876158  0.5632037678
## 140          Placebo         5         28  0.1213653949  0.5632037678
## 141          Placebo         1         29 -3.1497175780 -0.1960093398
## 142          Placebo         2         29 -0.0813373205 -0.1960093398
## 143          Placebo         3         29  0.1050606682 -0.1960093398
## 144          Placebo         4         29 -0.2258251921 -0.1960093398
## 145          Placebo         5         29  1.1522111239 -0.1960093398
## 146          Placebo         1         30  0.0599907984 -0.0468015319
## 147          Placebo         2         30  0.8550319111 -0.0468015319
## 148          Placebo         3         30 -0.9706627347 -0.0468015319
## 149          Placebo         4         30  0.4534921283 -0.0468015319
## 150          Placebo         5         30 -0.6614971353 -0.0468015319
## 151          Placebo         1         31 -1.4821822554 -0.0828647408
## 152          Placebo         2         31 -2.3000557537 -0.0828647408
## 153          Placebo         3         31  1.7072606801 -0.0828647408
## 154          Placebo         4         31 -0.1677888719 -0.0828647408
## 155          Placebo         5         31  0.4415917565 -0.0828647408
## 156             Drug         1         32 -2.0007533775  0.1865278817
## 157             Drug         2         32 -0.1882156115  0.1865278817
## 158             Drug         3         32 -0.2598123533  0.1865278817
## 159             Drug         4         32 -1.8835078671  0.1865278817
## 160             Drug         5         32 -0.1445278390  0.1865278817
## 161          Placebo         1         33 -1.0984117250  0.0564091281
## 162          Placebo         2         33  0.2804218356  0.0564091281
## 163          Placebo         3         33 -1.2868801780  0.0564091281
## 164          Placebo         4         33  0.1793590700  0.0564091281
## 165          Placebo         5         33 -2.4810218599  0.0564091281
## 166             Drug         1         34 -0.0679692052 -0.7472356348
## 167             Drug         2         34  0.2893970018 -0.7472356348
## 168             Drug         3         34  1.4224837276 -0.7472356348
## 169             Drug         4         34  2.0221332531 -0.7472356348
## 170             Drug         5         34 -0.4818452905 -0.7472356348
## 171          Placebo         1         35  0.1984184993 -0.2256501884
## 172          Placebo         2         35 -0.0962355227 -0.2256501884
## 173          Placebo         3         35 -1.4003003300 -0.2256501884
## 174          Placebo         4         35  0.4040178453 -0.2256501884
## 175          Placebo         5         35  1.1728076356 -0.2256501884
## 176          Placebo         1         36  1.1100713887  0.6455095379
## 177          Placebo         2         36  0.1927217905  0.6455095379
## 178          Placebo         3         36 -0.7882305734  0.6455095379
## 179          Placebo         4         36 -1.3491124956  0.6455095379
## 180          Placebo         5         36  1.2678863364  0.6455095379
## 181             Drug         1         37 -1.0266984357  0.1733789286
## 182             Drug         2         37 -0.5751283187  0.1733789286
## 183             Drug         3         37  0.0459544144  0.1733789286
## 184             Drug         4         37 -0.5708593597  0.1733789286
## 185             Drug         5         37  0.8504204753  0.1733789286
## 186          Placebo         1         38 -0.7500401267  0.0236491226
## 187          Placebo         2         38  1.0781234226  0.0236491226
## 188          Placebo         3         38  0.0315569460  0.0236491226
## 189          Placebo         4         38 -1.4196617747  0.0236491226
## 190          Placebo         5         38 -0.7755673413  0.0236491226
## 191             Drug         1         39  0.0378756163  0.5153734362
## 192             Drug         2         39 -0.3733682725  0.5153734362
## 193             Drug         3         39  0.2278779398  0.5153734362
## 194             Drug         4         39 -0.0074657006  0.5153734362
## 195             Drug         5         39  1.7885280662  0.5153734362
## 196             Drug         1         40 -0.9782752524 -0.7157968628
## 197             Drug         2         40 -0.3417071004 -0.7157968628
## 198             Drug         3         40 -0.9399944201 -0.7157968628
## 199             Drug         4         40 -1.3160357725 -0.7157968628
## 200             Drug         5         40  0.9499196788 -0.7157968628
## 201             Drug         1         41 -2.0453018373 -0.5882924650
## 202             Drug         2         41  0.3815276584 -0.5882924650
## 203             Drug         3         41 -1.2159282890 -0.5882924650
## 204             Drug         4         41 -1.3842143432 -0.5882924650
## 205             Drug         5         41 -0.4204684363 -0.5882924650
## 206             Drug         1         42 -0.0765318269 -0.2884166004
## 207             Drug         2         42 -1.2426477713 -0.2884166004
## 208             Drug         3         42 -0.3273179257 -0.2884166004
## 209             Drug         4         42  0.8010607770 -0.2884166004
## 210             Drug         5         42 -0.8770834231 -0.2884166004
## 211          Placebo         1         43  0.6942078163  0.1323654537
## 212          Placebo         2         43 -2.2022900591  0.1323654537
## 213          Placebo         3         43  0.4693022884  0.1323654537
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## 531             Drug         1          7  0.7923263181 -0.4006433976
## 532             Drug         2          7  1.1888914809 -0.4006433976
## 533             Drug         3          7 -0.7016605184 -0.4006433976
## 534             Drug         4          7 -0.2373880211 -0.4006433976
## 535             Drug         5          7 -0.7826632172 -0.4006433976
## 536          Placebo         1          8  0.0802987257 -0.2690132944
## 537          Placebo         2          8  0.9849851707 -0.2690132944
## 538          Placebo         3          8  0.1403079574 -0.2690132944
## 539          Placebo         4          8  0.2774595298 -0.2690132944
## 540          Placebo         5          8 -0.1121980029 -0.2690132944
## 541          Placebo         1          9 -1.3403883985  0.0959295899
## 542          Placebo         2          9  0.4872834715  0.0959295899
## 543          Placebo         3          9 -0.2419810475  0.0959295899
## 544          Placebo         4          9 -0.6271220070  0.0959295899
## 545          Placebo         5          9  1.1189205212  0.0959295899
## 546          Placebo         1         10  1.9064227843  0.6562251820
## 547          Placebo         2         10  0.5636863771  0.6562251820
## 548          Placebo         3         10  0.1005146080  0.6562251820
## 549          Placebo         4         10 -0.0008642882  0.6562251820
## 550          Placebo         5         10  0.4049465711  0.6562251820
## 551             Drug         1         11  0.2410054565 -0.0398131448
## 552             Drug         2         11  0.6780824890 -0.0398131448
## 553             Drug         3         11 -1.1808907269 -0.0398131448
## 554             Drug         4         11 -1.3564381040 -0.0398131448
## 555             Drug         5         11  1.4208952051 -0.0398131448
## 556             Drug         1         12  0.6453048864  0.6315770936
## 557             Drug         2         12  1.7322442170  0.6315770936
## 558             Drug         3         12  0.2888987825  0.6315770936
## 559             Drug         4         12  0.0769660459  0.6315770936
## 560             Drug         5         12  0.2461632234  0.6315770936
## 561          Placebo         1         13 -0.8672055810  0.0904282251
## 562          Placebo         2         13  0.6902585614  0.0904282251
## 563          Placebo         3         13 -0.9102814596  0.0904282251
## 564          Placebo         4         13 -0.5497831911  0.0904282251
## 565          Placebo         5         13 -0.3234558649  0.0904282251
## 566          Placebo         1         14  1.5017567261 -0.4037017957
## 567          Placebo         2         14  0.7388686287 -0.4037017957
## 568          Placebo         3         14 -0.0265737448 -0.4037017957
## 569          Placebo         4         14 -0.2671589937 -0.4037017957
## 570          Placebo         5         14 -1.0648969152 -0.4037017957
## 571             Drug         1         15  0.7585786129 -0.4304604510
## 572             Drug         2         15 -0.5610731471 -0.4304604510
## 573             Drug         3         15  0.2938597019 -0.4304604510
## 574             Drug         4         15  1.4421297100 -0.4304604510
## 575             Drug         5         15 -1.3719274571 -0.4304604510
## 576          Placebo         1         16  1.5805410699  0.1955812867
## 577          Placebo         2         16 -0.6162651836  0.1955812867
## 578          Placebo         3         16  1.1959228670  0.1955812867
## 579          Placebo         4         16 -0.4826168695  0.1955812867
## 580          Placebo         5         16  0.6846609680  0.1955812867
## 581             Drug         1         17 -0.2088981337  0.4150679095
## 582             Drug         2         17 -0.2189662933  0.4150679095
## 583             Drug         3         17 -0.7396772164  0.4150679095
## 584             Drug         4         17  0.0304671982  0.4150679095
## 585             Drug         5         17 -1.5217321319  0.4150679095
## 586             Drug         1         18  0.3673497999  0.6349501364
## 587             Drug         2         18 -1.2399429972  0.6349501364
## 588             Drug         3         18 -0.3611726326  0.6349501364
## 589             Drug         4         18 -0.1423503450  0.6349501364
## 590             Drug         5         18  0.6681269272  0.6349501364
## 591          Placebo         1         19 -1.5304891860  0.1716568789
## 592          Placebo         2         19 -0.6260496807  0.1716568789
## 593          Placebo         3         19 -0.4956155898  0.1716568789
## 594          Placebo         4         19  1.6439651550  0.1716568789
## 595          Placebo         5         19 -1.4468433299  0.1716568789
## 596          Placebo         1         20  0.1259683567 -0.5829772677
## 597          Placebo         2         20 -0.3794898992 -0.5829772677
## 598          Placebo         3         20  2.2298961323 -0.5829772677
## 599          Placebo         4         20  0.1594381391 -0.5829772677
## 600          Placebo         5         20 -0.1579642335 -0.5829772677
## 601             Drug         1         21 -0.8587093054  0.1174720101
## 602             Drug         2         21 -0.4678571429  0.1174720101
## 603             Drug         3         21  0.4199372562  0.1174720101
## 604             Drug         4         21  2.0747966014  0.1174720101
## 605             Drug         5         21  1.5273295686  0.1174720101
## 606             Drug         1         22  2.0948770081  0.0294897618
## 607             Drug         2         22 -0.7521887116  0.0294897618
## 608             Drug         3         22 -1.1843365455  0.0294897618
## 609             Drug         4         22 -0.8994262895  0.0294897618
## 610             Drug         5         22 -0.2053745374  0.0294897618
## 611             Drug         1         23  1.3791542414 -0.0442555801
## 612             Drug         2         23 -0.4004686367 -0.0442555801
## 613             Drug         3         23  0.2715865509 -0.0442555801
## 614             Drug         4         23 -0.1326239576 -0.0442555801
## 615             Drug         5         23  0.1701255978 -0.0442555801
## 616             Drug         1         24 -0.8252971873  0.2181040623
## 617             Drug         2         24 -1.5389141208  0.2181040623
## 618             Drug         3         24  0.0687604048  0.2181040623
## 619             Drug         4         24  1.6089941374  0.2181040623
## 620             Drug         5         24  0.2741837496  0.2181040623
## 621             Drug         1         25  0.7225272515 -0.0355237073
## 622             Drug         2         25  0.9707853966 -0.0355237073
## 623             Drug         3         25  0.9520548783 -0.0355237073
## 624             Drug         4         25  1.1553861659 -0.0355237073
## 625             Drug         5         25  0.2620199781 -0.0355237073
## 626             Drug         1         26 -0.6756746806  0.1656993974
## 627             Drug         2         26  0.3578019936  0.1656993974
## 628             Drug         3         26 -2.6210354942  0.1656993974
## 629             Drug         4         26 -0.7321441519  0.1656993974
## 630             Drug         5         26 -0.6990613271  0.1656993974
## 631          Placebo         1         27  0.9797893649  0.1866300519
## 632          Placebo         2         27  0.0788450007  0.1866300519
## 633          Placebo         3         27 -0.6893792991  0.1866300519
## 634          Placebo         4         27  0.6090412698  0.1866300519
## 635          Placebo         5         27  0.3764039663  0.1866300519
## 636             Drug         1         28  0.1736084489  0.6959366721
## 637             Drug         2         28 -1.7321285794  0.6959366721
## 638             Drug         3         28 -0.0728344523  0.6959366721
## 639             Drug         4         28  0.2385337680  0.6959366721
## 640             Drug         5         28 -0.4965432704  0.6959366721
## 641             Drug         1         29 -0.3221964635  0.1131880933
## 642             Drug         2         29  0.8007913187  0.1131880933
## 643             Drug         3         29  1.2794177135  0.1131880933
## 644             Drug         4         29  0.9972921946  0.1131880933
## 645             Drug         5         29 -1.1037571037  0.1131880933
## 646             Drug         1         30 -0.2467202407  0.1751668888
## 647             Drug         2         30  0.4569457917  0.1751668888
## 648             Drug         3         30 -0.0811561558  0.1751668888
## 649             Drug         4         30 -0.3718316131  0.1751668888
## 650             Drug         5         30  0.8855641121  0.1751668888
## 651             Drug         1         31 -0.4873301987  0.4907285431
## 652             Drug         2         31  0.7655305641  0.4907285431
## 653             Drug         3         31  0.2566572433  0.4907285431
## 654             Drug         4         31  0.0151542199  0.4907285431
## 655             Drug         5         31 -0.2386884218  0.4907285431
## 656             Drug         1         32  0.0249221410 -0.0635311016
## 657             Drug         2         32  1.2972875775 -0.0635311016
## 658             Drug         3         32  0.2883394770 -0.0635311016
## 659             Drug         4         32  0.1272071139 -0.0635311016
## 660             Drug         5         32 -0.4459906914 -0.0635311016
## 661          Placebo         1         33 -0.1606147468  0.6433994517
## 662          Placebo         2         33 -2.6284757066  0.6433994517
## 663          Placebo         3         33 -0.9792879416  0.6433994517
## 664          Placebo         4         33 -1.1793991910  0.6433994517
## 665          Placebo         5         33  0.3834745443  0.6433994517
## 666             Drug         1         34  1.4620038409  0.3792493381
## 667             Drug         2         34  0.1031288959  0.3792493381
## 668             Drug         3         34 -1.0540236308  0.3792493381
## 669             Drug         4         34 -0.1066306894  0.3792493381
## 670             Drug         5         34  0.7007788618  0.3792493381
## 671          Placebo         1         35  0.0854667753 -0.3967080767
## 672          Placebo         2         35 -1.0631959681 -0.3967080767
## 673          Placebo         3         35 -0.6074984024 -0.3967080767
## 674          Placebo         4         35  0.2647357242 -0.3967080767
## 675          Placebo         5         35  1.8330413221 -0.3967080767
## 676          Placebo         1         36  1.0151446817  0.4470941967
## 677          Placebo         2         36  1.2107651490  0.4470941967
## 678          Placebo         3         36 -1.4042148481  0.4470941967
## 679          Placebo         4         36  0.6370453549  0.4470941967
## 680          Placebo         5         36  0.8673116960  0.4470941967
## 681          Placebo         1         37 -0.5744909162 -0.3916281520
## 682          Placebo         2         37 -0.4772679694 -0.3916281520
## 683          Placebo         3         37  0.7899075689 -0.3916281520
## 684          Placebo         4         37  1.0727431450 -0.3916281520
## 685          Placebo         5         37 -1.3602330172 -0.3916281520
## 686          Placebo         1         38  0.8845354495 -0.5587214815
## 687          Placebo         2         38  1.4752569612 -0.5587214815
## 688          Placebo         3         38  0.5898711283 -0.5587214815
## 689          Placebo         4         38  1.4052774224 -0.5587214815
## 690          Placebo         5         38  1.1364639974 -0.5587214815
## 691          Placebo         1         39 -1.3024482117  0.5313562867
## 692          Placebo         2         39  0.4948216445  0.5313562867
## 693          Placebo         3         39  0.6077952060  0.5313562867
## 694          Placebo         4         39  0.0211937979  0.5313562867
## 695          Placebo         5         39  1.0268093444  0.5313562867
## 696          Placebo         1         40  1.3588305432  0.1362219447
## 697          Placebo         2         40 -0.0099930276  0.1362219447
## 698          Placebo         3         40  0.9967795556  0.1362219447
## 699          Placebo         4         40 -0.1557322545  0.1362219447
## 700          Placebo         5         40 -0.2653769682  0.1362219447
## 701          Placebo         1         41  0.9093747940  0.2912446114
## 702          Placebo         2         41 -0.8335374272  0.2912446114
## 703          Placebo         3         41  1.3229302282  0.2912446114
## 704          Placebo         4         41  0.2806575093  0.2912446114
## 705          Placebo         5         41 -1.3711409710  0.2912446114
## 706          Placebo         1         42 -0.2146289347  0.3788636240
## 707          Placebo         2         42  1.3391773966  0.3788636240
## 708          Placebo         3         42 -1.3344691160  0.3788636240
## 709          Placebo         4         42 -0.3392919577  0.3788636240
## 710          Placebo         5         42 -0.9248278064  0.3788636240
## 711             Drug         1         43 -0.9586313445 -0.1484836373
## 712             Drug         2         43  0.0738696794 -0.1484836373
## 713             Drug         3         43 -1.8192868389 -0.1484836373
## 714             Drug         4         43 -0.4339482581 -0.1484836373
## 715             Drug         5         43  0.1637543036 -0.1484836373
## 716             Drug         1         44  1.6876694023 -0.5247128176
## 717             Drug         2         44 -0.1052594039 -0.5247128176
## 718             Drug         3         44 -0.7096144319 -0.5247128176
## 719             Drug         4         44 -0.6228702122 -0.5247128176
## 720             Drug         5         44 -0.6836965047 -0.5247128176
## 721             Drug         1         45  0.8617175712 -0.2432124522
## 722             Drug         2         45  0.3454747994 -0.2432124522
## 723             Drug         3         45 -0.5412952805 -0.2432124522
## 724             Drug         4         45 -0.7028647829 -0.2432124522
## 725             Drug         5         45  0.5382600489 -0.2432124522
## 726          Placebo         1         46  0.5853814917  0.1169189109
## 727          Placebo         2         46 -0.1679002100  0.1169189109
## 728          Placebo         3         46  0.4583159423  0.1169189109
## 729          Placebo         4         46 -0.7116239245  0.1169189109
## 730          Placebo         5         46 -0.2623884514  0.1169189109
## 731             Drug         1         47 -0.3450171812  0.0255247485
## 732             Drug         2         47 -0.8784727503  0.0255247485
## 733             Drug         3         47  0.3497806151  0.0255247485
## 734             Drug         4         47  2.4091478400  0.0255247485
## 735             Drug         5         47  0.1515235290  0.0255247485
## 736             Drug         1         48 -0.2615938584  0.0114821131
## 737             Drug         2         48 -0.1838115776  0.0114821131
## 738             Drug         3         48 -0.3286609866  0.0114821131
## 739             Drug         4         48  0.5094826815  0.0114821131
## 740             Drug         5         48 -0.4882598054  0.0114821131
## 741          Placebo         1         49 -1.9218692640 -0.0799322887
## 742          Placebo         2         49 -0.7732861233 -0.0799322887
## 743          Placebo         3         49 -0.8956876514 -0.0799322887
## 744          Placebo         4         49 -0.8544432058 -0.0799322887
## 745          Placebo         5         49 -0.7387117010 -0.0799322887
## 746             Drug         1         50  0.2271602772 -0.3675870572
## 747             Drug         2         50  0.6686225621 -0.3675870572
## 748             Drug         3         50 -1.0602705311 -0.3675870572
## 749             Drug         4         50 -0.1724054861 -0.3675870572
## 750             Drug         5         50  0.4737600439 -0.3675870572
##        time_clust fixed_outcome random_effects  resp_var
## 1    0.9987758741          4.00   0.1498642548  4.401447
## 2    0.9987758741          4.50   1.1486401289  5.290971
## 3    0.9987758741          5.00   2.1474160031  7.834477
## 4    0.9987758741          5.50   3.1461918772  7.841959
## 5    0.9987758741          6.00   4.1449677513 12.629478
## 6    0.6423692241          4.00   0.1902210847  4.460817
## 7    0.6423692241          4.50   0.8325903088  6.781633
## 8    0.6423692241          5.00   1.4749595329  7.383000
## 9    0.6423692241          5.50   2.1173287570  7.430094
## 10   0.6423692241          6.00   2.7596979811  9.370637
## 11  -0.0838345823          4.00  -0.5971658477  5.609872
## 12  -0.0838345823          4.50  -0.6810004301  2.394263
## 13  -0.0838345823          5.00  -0.7648350124  4.392772
## 14  -0.0838345823          5.50  -0.8486695948  3.234493
## 15  -0.0838345823          6.00  -0.9325041771  5.134382
## 16   0.1125071075          4.00   0.2823365729  5.534809
## 17   0.1125071075          4.50   0.3948436804  6.174338
## 18   0.1125071075          5.00   0.5073507879  5.776726
## 19   0.1125071075          5.50   0.6198578954  5.970791
## 20   0.1125071075          6.00   0.7323650029  6.259197
## 21  -0.0942010506          4.75   0.0980743367  5.986003
## 22  -0.0942010506          5.25   0.0038732861  6.231845
## 23  -0.0942010506          5.75  -0.0903277645  6.060211
## 24  -0.0942010506          6.25  -0.1845288151  6.039321
## 25  -0.0942010506          6.75  -0.2787298657  7.500693
## 26  -0.4712481067          4.75  -0.3277069181  4.077795
## 27  -0.4712481067          5.25  -0.7989550248  4.676005
## 28  -0.4712481067          5.75  -1.2702031315  4.139116
## 29  -0.4712481067          6.25  -1.7414512382  5.221347
## 30  -0.4712481067          6.75  -2.2126993450  3.981599
## 31   0.2856359856          4.75  -0.0226787612  3.599485
## 32   0.2856359856          5.25   0.2629572245  4.954418
## 33   0.2856359856          5.75   0.5485932101  6.531778
## 34   0.2856359856          6.25   0.8342291957  6.436457
## 35   0.2856359856          6.75   1.1198651814  8.782481
## 36   0.1833384459          4.00   0.9471920918  4.942122
## 37   0.1833384459          4.50   1.1305305377  5.310374
## 38   0.1833384459          5.00   1.3138689836  6.058672
## 39   0.1833384459          5.50   1.4972074294  6.542100
## 40   0.1833384459          6.00   1.6805458753  4.952486
## 41   0.4445484806          4.75  -0.2362420717  3.898905
## 42   0.4445484806          5.25   0.2083064089  5.665764
## 43   0.4445484806          5.75   0.6528548894  6.253255
## 44   0.4445484806          6.25   1.0974033700  8.223531
## 45   0.4445484806          6.75   1.5419518505  8.671673
## 46  -0.3480317557          4.75   0.2536710865  4.869415
## 47  -0.3480317557          5.25  -0.0943606692  3.527784
## 48  -0.3480317557          5.75  -0.4423924249  5.239545
## 49  -0.3480317557          6.25  -0.7904241806  4.602029
## 50  -0.3480317557          6.75  -1.1384559363  5.578500
## 51   0.0506206731          4.75   0.5798230670  5.936313
## 52   0.0506206731          5.25   0.6304437401  5.755237
## 53   0.0506206731          5.75   0.6810644132  6.450106
## 54   0.0506206731          6.25   0.7316850862  7.381836
## 55   0.0506206731          6.75   0.7823057593  8.760713
## 56  -0.7018274982          4.75  -0.8992019443  2.058441
## 57  -0.7018274982          5.25  -1.6010294426  2.513804
## 58  -0.7018274982          5.75  -2.3028569408  3.747462
## 59  -0.7018274982          6.25  -3.0046844390  4.687191
## 60  -0.7018274982          6.75  -3.7065119373  4.293244
## 61  -0.7991033136          4.00   0.6191046624  5.519162
## 62  -0.7991033136          4.50  -0.1799986512  5.255726
## 63  -0.7991033136          5.00  -0.9791019648  5.681731
## 64  -0.7991033136          5.50  -1.7782052784  3.758042
## 65  -0.7991033136          6.00  -2.5773085920  4.625079
## 66  -0.8770783430          4.00   0.0022137740  3.971733
## 67  -0.8770783430          4.50  -0.8748645690  2.625143
## 68  -0.8770783430          5.00  -1.7519429120  3.219111
## 69  -0.8770783430          5.50  -2.6290212550  3.260781
## 70  -0.8770783430          6.00  -3.5060995979  3.284465
## 71   1.3184982659          4.00  -0.1398628727  2.349424
## 72   1.3184982659          4.50   1.1786353932  7.507486
## 73   1.3184982659          5.00   2.4971336590  8.407801
## 74   1.3184982659          5.50   3.8156319249  8.585897
## 75   1.3184982659          6.00   5.1341301908 12.619270
## 76  -0.4545953718          4.75   0.5435570633  7.043310
## 77  -0.4545953718          5.25   0.0889616916  5.479070
## 78  -0.4545953718          5.75  -0.3656336802  5.636356
## 79  -0.4545953718          6.25  -0.8202290520  4.288764
## 80  -0.4545953718          6.75  -1.2748244237  4.480801
## 81   0.5693885880          4.75   0.0103924161  5.430673
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## 379  0.4656316055          6.25   1.8991864252  9.926207
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## 414  0.7591739039          6.25   2.4981820112  8.485208
## 415  0.7591739039          6.75   3.2573559151 10.180745
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## 428 -0.0813517570          5.75   0.0896928497  6.065417
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## 443  1.3173115660          5.75   1.8016435309  4.734661
## 444  1.3173115660          6.25   3.1189550969  8.680188
## 445  1.3173115660          6.75   4.4362666629 11.070786
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## 453  0.8276606328          5.75   1.4337874475  6.592046
## 454  0.8276606328          6.25   2.2614480803  9.271421
## 455  0.8276606328          6.75   3.0891087132 10.474031
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## 457  0.1853880791          5.25  -0.2999448480  5.983844
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## 459  0.1853880791          6.25   0.0708313102  6.314891
## 460  0.1853880791          6.75   0.2562193894  5.990774
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## 473  0.0904533707          5.75   0.1574826320  4.555060
## 474  0.0904533707          6.25   0.2479360026  6.748956
## 475  0.0904533707          6.75   0.3383893733  7.270199
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## 477  1.0569127203          4.50   0.4715497308  5.318446
## 478  1.0569127203          5.00   1.5284624511  8.938616
## 479  1.0569127203          5.50   2.5853751715  6.773336
## 480  1.0569127203          6.00   3.6422878918  9.993049
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## 583  0.1651864263          5.00   0.7454407622  5.005764
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## 639  0.4256735512          5.50   1.9729573259  7.711491
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## 648  0.3502091970          5.00   0.8755852828  5.794429
## 649  0.3502091970          5.50   1.2257944797  6.353963
## 650  0.3502091970          6.00   1.5760036767  8.461568
## 651  0.1323037578          4.00   0.4907285431  4.003398
## 652  0.1323037578          4.50   0.6230323008  5.888563
## 653  0.1323037578          5.00   0.7553360586  6.011993
## 654  0.1323037578          5.50   0.8876398164  6.402794
## 655  0.1323037578          6.00   1.0199435742  6.781255
## 656  0.4272666231          4.00  -0.0635311016  3.961391
## 657  0.4272666231          4.50   0.3637355215  6.161023
## 658  0.4272666231          5.00   0.7910021447  6.079342
## 659  0.4272666231          5.50   1.2182687678  6.845476
## 660  0.4272666231          6.00   1.6455353909  7.199545
## 661 -0.4446951295          4.75   0.6433994517  5.232785
## 662 -0.4446951295          5.25   0.1987043222  2.820229
## 663 -0.4446951295          5.75  -0.2459908072  4.524721
## 664 -0.4446951295          6.25  -0.6906859367  4.379915
## 665 -0.4446951295          6.75  -1.1353810662  5.998093
## 666 -0.4165232374          4.00   0.3792493381  5.841253
## 667 -0.4165232374          4.50  -0.0372738993  4.565855
## 668 -0.4165232374          5.00  -0.4537971367  3.492179
## 669 -0.4165232374          5.50  -0.8703203741  4.523049
## 670 -0.4165232374          6.00  -1.2868436115  5.413935
## 671  0.0080064953          4.75  -0.3967080767  4.438759
## 672  0.0080064953          5.25  -0.3887015813  3.798102
## 673  0.0080064953          5.75  -0.3806950860  4.761807
## 674  0.0080064953          6.25  -0.3726885907  6.142047
## 675  0.0080064953          6.75  -0.3646820954  8.218359
## 676  0.5956486567          4.75   0.4470941967  6.212239
## 677  0.5956486567          5.25   1.0427428533  7.503508
## 678  0.5956486567          5.75   1.6383915100  5.984177
## 679  0.5956486567          6.25   2.2340401666  9.121086
## 680  0.5956486567          6.75   2.8296888233 10.447001
## 681  1.2254222522          4.75  -0.3916281520  3.783881
## 682  1.2254222522          5.25   0.8337941003  5.606526
## 683  1.2254222522          5.75   2.0592163525  8.599124
## 684  1.2254222522          6.25   3.2846386047 10.607382
## 685  1.2254222522          6.75   4.5100608569  9.899828
## 686  0.3662801327          4.75  -0.5587214815  5.075814
## 687  0.3662801327          5.25  -0.1924413488  6.532816
## 688  0.3662801327          5.75   0.1738387840  6.513710
## 689  0.3662801327          6.25   0.5401189167  8.195396
## 690  0.3662801327          6.75   0.9063990494  8.792863
## 691  0.0774432797          4.75   0.5313562867  3.978908
## 692  0.0774432797          5.25   0.6087995663  6.353621
## 693  0.0774432797          5.75   0.6862428460  7.044038
## 694  0.0774432797          6.25   0.7636861257  7.034880
## 695  0.0774432797          6.75   0.8411294054  8.617939
## 696 -0.2306725099          4.75   0.1362219447  6.245052
## 697 -0.2306725099          5.25  -0.0944505652  5.145556
## 698 -0.2306725099          5.75  -0.3251230752  6.421656
## 699 -0.2306725099          6.25  -0.5557955851  5.538472
## 700 -0.2306725099          6.75  -0.7864680951  5.698155
## 701  1.0427354417          4.75   0.2912446114  5.950619
## 702  1.0427354417          5.25   1.3339800530  5.750443
## 703  1.0427354417          5.75   2.3767154947  9.449646
## 704  1.0427354417          6.25   3.4194509363  9.950108
## 705  1.0427354417          6.75   4.4621863780  9.841045
## 706  0.1380683110          4.75   0.3788636240  4.914235
## 707  0.1380683110          5.25   0.5169319350  7.106109
## 708  0.1380683110          5.75   0.6550002460  5.070531
## 709  0.1380683110          6.25   0.7930685570  6.703777
## 710  0.1380683110          6.75   0.9311368680  6.756309
## 711 -0.5565608970          4.00  -0.1484836373  2.892885
## 712 -0.5565608970          4.50  -0.7050445343  3.868825
## 713 -0.5565608970          5.00  -1.2616054312  1.919108
## 714 -0.5565608970          5.50  -1.8181663282  3.247885
## 715 -0.5565608970          6.00  -2.3747272251  3.789027
## 716 -0.6832562814          4.00  -0.5247128176  5.162957
## 717 -0.6832562814          4.50  -1.2079690990  3.186771
## 718 -0.6832562814          5.00  -1.8912253804  2.399160
## 719 -0.6832562814          5.50  -2.5744816619  2.302648
## 720 -0.6832562814          6.00  -3.2577379433  2.058566
## 721 -0.1901313639          4.00  -0.2432124522  4.618505
## 722 -0.1901313639          4.50  -0.4333438161  4.412131
## 723 -0.1901313639          5.00  -0.6234751801  3.835230
## 724 -0.1901313639          5.50  -0.8136065440  3.983529
## 725 -0.1901313639          6.00  -1.0037379079  5.534522
## 726 -0.9899373630          4.75   0.1169189109  5.452300
## 727 -0.9899373630          5.25  -0.8730184521  4.209081
## 728 -0.9899373630          5.75  -1.8629558151  4.345360
## 729 -0.9899373630          6.25  -2.8528931780  2.685483
## 730 -0.9899373630          6.75  -3.8428305410  2.644781
## 731 -0.2745127347          4.00   0.0255247485  3.680508
## 732 -0.2745127347          4.50  -0.2489879861  3.372539
## 733 -0.2745127347          5.00  -0.5235007208  4.826280
## 734 -0.2745127347          5.50  -0.7980134554  7.111134
## 735 -0.2745127347          6.00  -1.0725261901  5.078997
## 736  0.5106302554          4.00   0.0114821131  3.749888
## 737  0.5106302554          4.50   0.5221123685  4.838301
## 738  0.5106302554          5.00   1.0327426239  5.704082
## 739  0.5106302554          5.50   1.5433728793  7.552856
## 740  0.5106302554          6.00   2.0540031347  7.565743
## 741  0.3277135590          4.75  -0.0799322887  2.748198
## 742  0.3277135590          5.25   0.2477812703  4.724495
## 743  0.3277135590          5.75   0.5754948294  5.429807
## 744  0.3277135590          6.25   0.9032083884  6.298765
## 745  0.3277135590          6.75   1.2309219474  7.242210
## 746 -0.6288575222          4.00  -0.3675870572  3.859573
## 747 -0.6288575222          4.50  -0.9964445794  4.172178
## 748 -0.6288575222          5.00  -1.6253021016  2.314427
## 749 -0.6288575222          5.50  -2.2541596237  3.073435
## 750 -0.6288575222          6.00  -2.8830171459  3.590743
## 
## [[2]]
##                       sample_size replication X.Intercept. time trt time.trt
## 1   list(level1 = 5, level2 = 60)           1            1    0   1        0
## 2   list(level1 = 5, level2 = 60)           1            1    1   1        1
## 3   list(level1 = 5, level2 = 60)           1            1    2   1        2
## 4   list(level1 = 5, level2 = 60)           1            1    3   1        3
## 5   list(level1 = 5, level2 = 60)           1            1    4   1        4
## 6   list(level1 = 5, level2 = 60)           1            1    0   0        0
## 7   list(level1 = 5, level2 = 60)           1            1    1   0        0
## 8   list(level1 = 5, level2 = 60)           1            1    2   0        0
## 9   list(level1 = 5, level2 = 60)           1            1    3   0        0
## 10  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 11  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 12  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 13  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 14  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 15  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 16  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 17  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 18  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 19  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 20  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 21  list(level1 = 5, level2 = 60)           1            1    0   1        0
## 22  list(level1 = 5, level2 = 60)           1            1    1   1        1
## 23  list(level1 = 5, level2 = 60)           1            1    2   1        2
## 24  list(level1 = 5, level2 = 60)           1            1    3   1        3
## 25  list(level1 = 5, level2 = 60)           1            1    4   1        4
## 26  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 27  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 28  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 29  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 30  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 31  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 32  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 33  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 34  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 35  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 36  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 37  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 38  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 39  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 40  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 41  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 42  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 43  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 44  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 45  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 46  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 47  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 48  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 49  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 50  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 51  list(level1 = 5, level2 = 60)           1            1    0   1        0
## 52  list(level1 = 5, level2 = 60)           1            1    1   1        1
## 53  list(level1 = 5, level2 = 60)           1            1    2   1        2
## 54  list(level1 = 5, level2 = 60)           1            1    3   1        3
## 55  list(level1 = 5, level2 = 60)           1            1    4   1        4
## 56  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 57  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 58  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 59  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 60  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 61  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 62  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 63  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 64  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 65  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 66  list(level1 = 5, level2 = 60)           1            1    0   1        0
## 67  list(level1 = 5, level2 = 60)           1            1    1   1        1
## 68  list(level1 = 5, level2 = 60)           1            1    2   1        2
## 69  list(level1 = 5, level2 = 60)           1            1    3   1        3
## 70  list(level1 = 5, level2 = 60)           1            1    4   1        4
## 71  list(level1 = 5, level2 = 60)           1            1    0   1        0
## 72  list(level1 = 5, level2 = 60)           1            1    1   1        1
## 73  list(level1 = 5, level2 = 60)           1            1    2   1        2
## 74  list(level1 = 5, level2 = 60)           1            1    3   1        3
## 75  list(level1 = 5, level2 = 60)           1            1    4   1        4
## 76  list(level1 = 5, level2 = 60)           1            1    0   1        0
## 77  list(level1 = 5, level2 = 60)           1            1    1   1        1
## 78  list(level1 = 5, level2 = 60)           1            1    2   1        2
## 79  list(level1 = 5, level2 = 60)           1            1    3   1        3
## 80  list(level1 = 5, level2 = 60)           1            1    4   1        4
## 81  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 82  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 83  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 84  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 85  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 86  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 87  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 88  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 89  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 90  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 91  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 92  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 93  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 94  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 95  list(level1 = 5, level2 = 60)           1            1    4   0        0
## 96  list(level1 = 5, level2 = 60)           1            1    0   0        0
## 97  list(level1 = 5, level2 = 60)           1            1    1   0        0
## 98  list(level1 = 5, level2 = 60)           1            1    2   0        0
## 99  list(level1 = 5, level2 = 60)           1            1    3   0        0
## 100 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 101 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 102 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 103 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 104 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 105 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 106 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 107 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 108 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 109 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 110 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 111 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 112 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 113 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 114 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 115 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 116 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 117 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 118 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 119 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 120 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 121 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 122 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 123 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 124 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 125 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 126 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 127 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 128 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 129 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 130 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 131 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 132 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 133 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 134 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 135 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 136 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 137 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 138 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 139 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 140 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 141 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 142 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 143 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 144 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 145 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 146 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 147 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 148 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 149 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 150 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 151 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 152 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 153 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 154 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 155 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 156 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 157 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 158 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 159 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 160 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 161 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 162 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 163 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 164 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 165 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 166 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 167 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 168 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 169 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 170 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 171 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 172 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 173 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 174 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 175 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 176 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 177 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 178 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 179 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 180 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 181 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 182 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 183 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 184 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 185 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 186 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 187 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 188 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 189 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 190 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 191 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 192 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 193 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 194 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 195 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 196 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 197 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 198 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 199 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 200 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 201 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 202 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 203 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 204 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 205 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 206 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 207 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 208 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 209 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 210 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 211 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 212 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 213 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 214 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 215 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 216 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 217 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 218 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 219 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 220 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 221 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 222 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 223 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 224 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 225 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 226 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 227 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 228 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 229 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 230 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 231 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 232 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 233 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 234 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 235 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 236 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 237 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 238 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 239 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 240 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 241 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 242 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 243 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 244 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 245 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 246 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 247 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 248 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 249 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 250 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 251 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 252 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 253 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 254 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 255 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 256 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 257 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 258 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 259 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 260 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 261 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 262 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 263 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 264 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 265 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 266 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 267 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 268 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 269 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 270 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 271 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 272 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 273 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 274 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 275 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 276 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 277 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 278 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 279 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 280 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 281 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 282 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 283 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 284 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 285 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 286 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 287 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 288 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 289 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 290 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 291 list(level1 = 5, level2 = 60)           1            1    0   0        0
## 292 list(level1 = 5, level2 = 60)           1            1    1   0        0
## 293 list(level1 = 5, level2 = 60)           1            1    2   0        0
## 294 list(level1 = 5, level2 = 60)           1            1    3   0        0
## 295 list(level1 = 5, level2 = 60)           1            1    4   0        0
## 296 list(level1 = 5, level2 = 60)           1            1    0   1        0
## 297 list(level1 = 5, level2 = 60)           1            1    1   1        1
## 298 list(level1 = 5, level2 = 60)           1            1    2   1        2
## 299 list(level1 = 5, level2 = 60)           1            1    3   1        3
## 300 list(level1 = 5, level2 = 60)           1            1    4   1        4
## 301 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 302 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 303 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 304 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 305 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 306 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 307 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 308 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 309 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 310 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 311 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 312 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 313 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 314 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 315 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 316 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 317 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 318 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 319 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 320 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 321 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 322 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 323 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 324 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 325 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 326 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 327 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 328 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 329 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 330 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 331 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 332 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 333 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 334 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 335 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 336 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 337 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 338 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 339 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 340 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 341 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 342 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 343 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 344 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 345 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 346 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 347 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 348 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 349 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 350 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 351 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 352 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 353 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 354 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 355 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 356 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 357 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 358 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 359 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 360 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 361 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 362 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 363 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 364 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 365 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 366 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 367 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 368 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 369 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 370 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 371 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 372 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 373 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 374 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 375 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 376 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 377 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 378 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 379 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 380 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 381 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 382 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 383 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 384 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 385 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 386 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 387 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 388 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 389 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 390 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 391 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 392 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 393 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 394 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 395 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 396 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 397 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 398 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 399 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 400 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 401 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 402 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 403 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 404 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 405 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 406 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 407 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 408 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 409 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 410 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 411 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 412 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 413 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 414 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 415 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 416 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 417 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 418 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 419 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 420 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 421 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 422 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 423 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 424 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 425 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 426 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 427 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 428 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 429 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 430 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 431 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 432 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 433 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 434 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 435 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 436 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 437 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 438 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 439 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 440 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 441 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 442 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 443 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 444 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 445 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 446 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 447 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 448 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 449 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 450 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 451 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 452 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 453 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 454 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 455 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 456 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 457 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 458 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 459 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 460 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 461 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 462 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 463 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 464 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 465 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 466 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 467 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 468 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 469 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 470 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 471 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 472 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 473 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 474 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 475 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 476 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 477 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 478 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 479 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 480 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 481 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 482 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 483 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 484 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 485 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 486 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 487 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 488 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 489 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 490 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 491 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 492 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 493 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 494 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 495 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 496 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 497 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 498 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 499 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 500 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 501 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 502 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 503 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 504 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 505 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 506 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 507 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 508 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 509 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 510 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 511 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 512 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 513 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 514 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 515 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 516 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 517 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 518 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 519 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 520 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 521 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 522 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 523 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 524 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 525 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 526 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 527 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 528 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 529 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 530 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 531 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 532 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 533 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 534 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 535 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 536 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 537 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 538 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 539 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 540 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 541 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 542 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 543 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 544 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 545 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 546 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 547 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 548 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 549 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 550 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 551 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 552 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 553 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 554 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 555 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 556 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 557 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 558 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 559 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 560 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 561 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 562 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 563 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 564 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 565 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 566 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 567 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 568 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 569 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 570 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 571 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 572 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 573 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 574 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 575 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 576 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 577 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 578 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 579 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 580 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 581 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 582 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 583 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 584 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 585 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 586 list(level1 = 5, level2 = 60)           2            1    0   1        0
## 587 list(level1 = 5, level2 = 60)           2            1    1   1        1
## 588 list(level1 = 5, level2 = 60)           2            1    2   1        2
## 589 list(level1 = 5, level2 = 60)           2            1    3   1        3
## 590 list(level1 = 5, level2 = 60)           2            1    4   1        4
## 591 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 592 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 593 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 594 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 595 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 596 list(level1 = 5, level2 = 60)           2            1    0   0        0
## 597 list(level1 = 5, level2 = 60)           2            1    1   0        0
## 598 list(level1 = 5, level2 = 60)           2            1    2   0        0
## 599 list(level1 = 5, level2 = 60)           2            1    3   0        0
## 600 list(level1 = 5, level2 = 60)           2            1    4   0        0
## 601 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 602 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 603 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 604 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 605 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 606 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 607 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 608 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 609 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 610 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 611 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 612 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 613 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 614 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 615 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 616 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 617 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 618 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 619 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 620 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 621 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 622 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 623 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 624 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 625 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 626 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 627 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 628 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 629 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 630 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 631 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 632 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 633 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 634 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 635 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 636 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 637 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 638 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 639 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 640 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 641 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 642 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 643 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 644 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 645 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 646 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 647 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 648 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 649 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 650 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 651 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 652 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 653 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 654 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 655 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 656 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 657 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 658 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 659 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 660 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 661 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 662 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 663 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 664 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 665 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 666 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 667 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 668 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 669 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 670 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 671 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 672 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 673 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 674 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 675 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 676 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 677 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 678 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 679 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 680 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 681 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 682 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 683 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 684 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 685 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 686 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 687 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 688 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 689 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 690 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 691 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 692 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 693 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 694 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 695 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 696 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 697 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 698 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 699 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 700 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 701 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 702 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 703 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 704 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 705 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 706 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 707 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 708 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 709 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 710 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 711 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 712 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 713 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 714 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 715 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 716 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 717 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 718 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 719 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 720 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 721 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 722 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 723 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 724 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 725 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 726 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 727 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 728 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 729 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 730 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 731 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 732 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 733 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 734 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 735 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 736 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 737 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 738 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 739 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 740 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 741 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 742 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 743 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 744 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 745 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 746 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 747 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 748 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 749 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 750 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 751 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 752 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 753 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 754 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 755 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 756 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 757 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 758 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 759 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 760 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 761 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 762 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 763 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 764 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 765 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 766 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 767 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 768 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 769 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 770 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 771 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 772 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 773 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 774 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 775 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 776 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 777 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 778 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 779 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 780 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 781 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 782 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 783 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 784 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 785 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 786 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 787 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 788 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 789 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 790 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 791 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 792 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 793 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 794 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 795 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 796 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 797 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 798 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 799 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 800 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 801 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 802 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 803 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 804 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 805 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 806 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 807 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 808 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 809 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 810 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 811 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 812 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 813 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 814 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 815 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 816 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 817 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 818 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 819 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 820 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 821 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 822 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 823 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 824 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 825 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 826 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 827 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 828 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 829 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 830 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 831 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 832 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 833 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 834 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 835 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 836 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 837 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 838 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 839 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 840 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 841 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 842 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 843 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 844 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 845 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 846 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 847 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 848 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 849 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 850 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 851 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 852 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 853 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 854 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 855 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 856 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 857 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 858 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 859 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 860 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 861 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 862 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 863 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 864 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 865 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 866 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 867 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 868 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 869 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 870 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 871 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 872 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 873 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 874 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 875 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 876 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 877 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 878 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 879 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 880 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 881 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 882 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 883 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 884 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 885 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 886 list(level1 = 5, level2 = 60)           3            1    0   1        0
## 887 list(level1 = 5, level2 = 60)           3            1    1   1        1
## 888 list(level1 = 5, level2 = 60)           3            1    2   1        2
## 889 list(level1 = 5, level2 = 60)           3            1    3   1        3
## 890 list(level1 = 5, level2 = 60)           3            1    4   1        4
## 891 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 892 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 893 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 894 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 895 list(level1 = 5, level2 = 60)           3            1    4   0        0
## 896 list(level1 = 5, level2 = 60)           3            1    0   0        0
## 897 list(level1 = 5, level2 = 60)           3            1    1   0        0
## 898 list(level1 = 5, level2 = 60)           3            1    2   0        0
## 899 list(level1 = 5, level2 = 60)           3            1    3   0        0
## 900 list(level1 = 5, level2 = 60)           3            1    4   0        0
##     factor.trt._orig level1_id individual        error    int_clust
## 1            Placebo         1          1 -1.846974265  0.256803861
## 2            Placebo         2          1 -0.128798866  0.256803861
## 3            Placebo         3          1  0.872888098  0.256803861
## 4            Placebo         4          1 -0.756227251  0.256803861
## 5            Placebo         5          1 -1.140042330  0.256803861
## 6               Drug         1          2 -0.505874344 -0.101941218
## 7               Drug         2          2  0.947794621 -0.101941218
## 8               Drug         3          2 -1.776519811 -0.101941218
## 9               Drug         4          2  0.557386703 -0.101941218
## 10              Drug         5          2  0.802742245 -0.101941218
## 11              Drug         1          3 -1.541795719 -0.457601015
## 12              Drug         2          3  0.459770452 -0.457601015
## 13              Drug         3          3 -0.028381338 -0.457601015
## 14              Drug         4          3 -0.667907264 -0.457601015
## 15              Drug         5          3 -2.697562417 -0.457601015
## 16              Drug         1          4 -0.261755529 -0.455598396
## 17              Drug         2          4 -0.873866282 -0.455598396
## 18              Drug         3          4  0.787278965 -0.455598396
## 19              Drug         4          4  0.984127858 -0.455598396
## 20              Drug         5          4  0.185632522 -0.455598396
## 21           Placebo         1          5  0.050181823 -0.986109101
## 22           Placebo         2          5 -0.757766950 -0.986109101
## 23           Placebo         3          5 -0.263791486 -0.986109101
## 24           Placebo         4          5  1.645353648 -0.986109101
## 25           Placebo         5          5 -0.926203008 -0.986109101
## 26              Drug         1          6 -0.001660390  0.274156257
## 27              Drug         2          6  0.067009834  0.274156257
## 28              Drug         3          6  1.289640823  0.274156257
## 29              Drug         4          6  0.170927260  0.274156257
## 30              Drug         5          6  1.178917313  0.274156257
## 31              Drug         1          7  1.490110126  0.544849145
## 32              Drug         2          7 -1.372326759  0.544849145
## 33              Drug         3          7  0.702038841  0.544849145
## 34              Drug         4          7  0.168003554  0.544849145
## 35              Drug         5          7 -2.395311419  0.544849145
## 36              Drug         1          8 -1.168839193 -0.230591852
## 37              Drug         2          8 -0.537906624 -0.230591852
## 38              Drug         3          8  0.665615613 -0.230591852
## 39              Drug         4          8 -1.308958568 -0.230591852
## 40              Drug         5          8  0.961067889 -0.230591852
## 41              Drug         1          9  0.758360858  0.072882354
## 42              Drug         2          9  0.281469330  0.072882354
## 43              Drug         3          9  1.647972174  0.072882354
## 44              Drug         4          9 -1.788647132  0.072882354
## 45              Drug         5          9 -0.159000221  0.072882354
## 46              Drug         1         10 -2.033715540  0.071378018
## 47              Drug         2         10  1.423304120  0.071378018
## 48              Drug         3         10  1.533231454  0.071378018
## 49              Drug         4         10 -0.011579244  0.071378018
## 50              Drug         5         10  0.490382253  0.071378018
## 51           Placebo         1         11  0.626087207  0.328510787
## 52           Placebo         2         11  0.534295954  0.328510787
## 53           Placebo         3         11  0.456746515  0.328510787
## 54           Placebo         4         11 -0.971284333  0.328510787
## 55           Placebo         5         11  0.246222997  0.328510787
## 56              Drug         1         12 -1.814952233 -0.252207815
## 57              Drug         2         12  0.613125516 -0.252207815
## 58              Drug         3         12  1.288237459 -0.252207815
## 59              Drug         4         12  0.261054785 -0.252207815
## 60              Drug         5         12  0.751440269 -0.252207815
## 61              Drug         1         13 -0.471924130 -0.192381786
## 62              Drug         2         13  0.561377385 -0.192381786
## 63              Drug         3         13 -0.839325665 -0.192381786
## 64              Drug         4         13 -0.359325610 -0.192381786
## 65              Drug         5         13  0.944325792 -0.192381786
## 66           Placebo         1         14  0.663041993 -0.018742108
## 67           Placebo         2         14  0.826520206 -0.018742108
## 68           Placebo         3         14  2.538128594 -0.018742108
## 69           Placebo         4         14  0.382370400 -0.018742108
## 70           Placebo         5         14 -0.795183206 -0.018742108
## 71           Placebo         1         15 -1.263070923  1.176941283
## 72           Placebo         2         15 -0.743963719  1.176941283
## 73           Placebo         3         15 -0.527042012  1.176941283
## 74           Placebo         4         15  0.456303147  1.176941283
## 75           Placebo         5         15  2.701930950  1.176941283
## 76           Placebo         1         16  0.655143872  0.249547182
## 77           Placebo         2         16 -0.479698652  0.249547182
## 78           Placebo         3         16 -0.388551882  0.249547182
## 79           Placebo         4         16  1.427063275  0.249547182
## 80           Placebo         5         16 -0.566798230  0.249547182
## 81              Drug         1         17 -0.801186823 -0.774796888
## 82              Drug         2         17 -0.833145747 -0.774796888
## 83              Drug         3         17 -0.055073530 -0.774796888
## 84              Drug         4         17 -0.115745775 -0.774796888
## 85              Drug         5         17 -0.546860025 -0.774796888
## 86              Drug         1         18  0.466552869 -0.482409377
## 87              Drug         2         18 -0.113406925 -0.482409377
## 88              Drug         3         18 -0.798445101 -0.482409377
## 89              Drug         4         18  0.685192269 -0.482409377
## 90              Drug         5         18  1.027999762 -0.482409377
## 91              Drug         1         19 -0.241220609 -0.077421398
## 92              Drug         2         19  0.044708893 -0.077421398
## 93              Drug         3         19  0.335456921 -0.077421398
## 94              Drug         4         19 -1.541021845 -0.077421398
## 95              Drug         5         19 -0.556196036 -0.077421398
## 96              Drug         1         20 -0.039011134 -0.677294130
## 97              Drug         2         20 -1.097306561 -0.677294130
## 98              Drug         3         20  0.209408070 -0.677294130
## 99              Drug         4         20  1.273913798 -0.677294130
## 100             Drug         5         20  0.880660265 -0.677294130
## 101             Drug         1         21 -0.135224468  0.271310889
## 102             Drug         2         21  0.305852654  0.271310889
## 103             Drug         3         21  0.016987183  0.271310889
## 104             Drug         4         21 -0.483051475  0.271310889
## 105             Drug         5         21 -0.804687685  0.271310889
## 106             Drug         1         22  1.526934329  0.112910399
## 107             Drug         2         22  0.400308192  0.112910399
## 108             Drug         3         22  1.781595918  0.112910399
## 109             Drug         4         22 -0.694928488  0.112910399
## 110             Drug         5         22  0.047672235  0.112910399
## 111          Placebo         1         23  1.510166645 -0.387451180
## 112          Placebo         2         23  0.429519291 -0.387451180
## 113          Placebo         3         23  0.629284185 -0.387451180
## 114          Placebo         4         23  0.154950357 -0.387451180
## 115          Placebo         5         23  0.030970551 -0.387451180
## 116          Placebo         1         24  1.155774857 -0.155584396
## 117          Placebo         2         24 -0.461699356 -0.155584396
## 118          Placebo         3         24  1.833107919 -0.155584396
## 119          Placebo         4         24  0.437211766 -0.155584396
## 120          Placebo         5         24  0.124852922 -0.155584396
## 121             Drug         1         25  0.169145063 -0.050938914
## 122             Drug         2         25  0.636551523 -0.050938914
## 123             Drug         3         25  0.655900232 -0.050938914
## 124             Drug         4         25  1.345731997 -0.050938914
## 125             Drug         5         25 -0.472557859 -0.050938914
## 126          Placebo         1         26  0.941074145  0.451611430
## 127          Placebo         2         26  0.253651367  0.451611430
## 128          Placebo         3         26  0.175371594  0.451611430
## 129          Placebo         4         26  0.145905156  0.451611430
## 130          Placebo         5         26 -0.940490308  0.451611430
## 131          Placebo         1         27  0.491900155 -0.395451244
## 132          Placebo         2         27 -0.338288004 -0.395451244
## 133          Placebo         3         27  0.052654753 -0.395451244
## 134          Placebo         4         27  0.965237696 -0.395451244
## 135          Placebo         5         27 -0.334315101 -0.395451244
## 136             Drug         1         28 -0.976931042 -0.731441992
## 137             Drug         2         28  1.079135779 -0.731441992
## 138             Drug         3         28 -0.585078524 -0.731441992
## 139             Drug         4         28 -0.696729135 -0.731441992
## 140             Drug         5         28 -0.186530178 -0.731441992
## 141          Placebo         1         29 -0.313927153 -0.552736147
## 142          Placebo         2         29 -0.535704986 -0.552736147
## 143          Placebo         3         29  0.388084197 -0.552736147
## 144          Placebo         4         29 -0.512415758 -0.552736147
## 145          Placebo         5         29 -1.495868942 -0.552736147
## 146             Drug         1         30  0.512647019 -0.400699873
## 147             Drug         2         30 -0.893968061 -0.400699873
## 148             Drug         3         30 -1.461458458 -0.400699873
## 149             Drug         4         30  0.606046950 -0.400699873
## 150             Drug         5         30  1.357640237 -0.400699873
## 151          Placebo         1         31 -0.003684640  0.524420882
## 152          Placebo         2         31  0.149218590  0.524420882
## 153          Placebo         3         31  1.767006710  0.524420882
## 154          Placebo         4         31  0.548322847  0.524420882
## 155          Placebo         5         31  2.058682582  0.524420882
## 156             Drug         1         32 -0.187853862  0.091640198
## 157             Drug         2         32 -0.512745309  0.091640198
## 158             Drug         3         32  0.619493308  0.091640198
## 159             Drug         4         32 -0.528796205  0.091640198
## 160             Drug         5         32  0.166856549  0.091640198
## 161          Placebo         1         33 -0.773508432  0.118839453
## 162          Placebo         2         33  0.613525018  0.118839453
## 163          Placebo         3         33  1.217586335  0.118839453
## 164          Placebo         4         33  0.650735661  0.118839453
## 165          Placebo         5         33 -0.754889436  0.118839453
## 166          Placebo         1         34 -1.159591966  0.155880358
## 167          Placebo         2         34  1.252686200  0.155880358
## 168          Placebo         3         34 -1.435393702  0.155880358
## 169          Placebo         4         34  1.390394019  0.155880358
## 170          Placebo         5         34 -0.636618363  0.155880358
## 171          Placebo         1         35  0.419930554 -0.020945572
## 172          Placebo         2         35 -0.298017747 -0.020945572
## 173          Placebo         3         35  0.316101157 -0.020945572
## 174          Placebo         4         35  0.228039512 -0.020945572
## 175          Placebo         5         35 -0.907110976 -0.020945572
## 176             Drug         1         36 -2.308155835 -0.428877382
## 177             Drug         2         36 -0.573324419 -0.428877382
## 178             Drug         3         36 -0.263794129 -0.428877382
## 179             Drug         4         36 -0.536928911 -0.428877382
## 180             Drug         5         36 -1.251325686 -0.428877382
## 181             Drug         1         37  0.464209980  0.094183592
## 182             Drug         2         37  0.216556249  0.094183592
## 183             Drug         3         37 -0.827829599  0.094183592
## 184             Drug         4         37 -1.413454153  0.094183592
## 185             Drug         5         37 -0.765842913  0.094183592
## 186             Drug         1         38  0.661447779 -0.482010852
## 187             Drug         2         38 -1.899677736 -0.482010852
## 188             Drug         3         38 -1.151826100 -0.482010852
## 189             Drug         4         38  0.126034407 -0.482010852
## 190             Drug         5         38 -0.100538229 -0.482010852
## 191             Drug         1         39 -1.363770723  0.898015591
## 192             Drug         2         39 -0.581608927  0.898015591
## 193             Drug         3         39  0.054282847  0.898015591
## 194             Drug         4         39  1.089954918  0.898015591
## 195             Drug         5         39 -1.440968806  0.898015591
## 196             Drug         1         40 -1.763754279 -0.070071088
## 197             Drug         2         40 -0.564263927 -0.070071088
## 198             Drug         3         40  0.377892191 -0.070071088
## 199             Drug         4         40  2.382198317 -0.070071088
## 200             Drug         5         40  0.869928127 -0.070071088
## 201          Placebo         1         41 -0.027274702  1.017652451
## 202          Placebo         2         41  1.258268657  1.017652451
## 203          Placebo         3         41  1.546727947  1.017652451
## 204          Placebo         4         41 -1.106947638  1.017652451
## 205          Placebo         5         41  0.342924972  1.017652451
## 206             Drug         1         42  1.340553597 -0.928210944
## 207             Drug         2         42 -1.825104731 -0.928210944
## 208             Drug         3         42  0.472983288 -0.928210944
## 209             Drug         4         42 -0.011562470 -0.928210944
## 210             Drug         5         42  0.455929527 -0.928210944
## 211          Placebo         1         43  0.183858142  0.586258833
## 212          Placebo         2         43  0.669413968  0.586258833
## 213          Placebo         3         43  0.434956630  0.586258833
## 214          Placebo         4         43  1.209075745  0.586258833
## 215          Placebo         5         43 -0.812204053  0.586258833
## 216             Drug         1         44 -1.271840829  0.253098312
## 217             Drug         2         44 -2.613988824  0.253098312
## 218             Drug         3         44  0.350224837  0.253098312
## 219             Drug         4         44  2.211874662  0.253098312
## 220             Drug         5         44 -0.979803229  0.253098312
## 221          Placebo         1         45  0.716985540  0.528208831
## 222          Placebo         2         45  0.692127330  0.528208831
## 223          Placebo         3         45 -0.092248443  0.528208831
## 224          Placebo         4         45  0.090923425  0.528208831
## 225          Placebo         5         45 -0.494410295  0.528208831
## 226             Drug         1         46 -0.776511686 -0.255716227
## 227             Drug         2         46  0.433712007 -0.255716227
## 228             Drug         3         46  1.995414064 -0.255716227
## 229             Drug         4         46 -0.596677194 -0.255716227
## 230             Drug         5         46 -3.171186001 -0.255716227
## 231             Drug         1         47  0.895965168  0.433061711
## 232             Drug         2         47 -0.587166911  0.433061711
## 233             Drug         3         47 -1.122097328  0.433061711
## 234             Drug         4         47 -0.016729555  0.433061711
## 235             Drug         5         47  0.572938021  0.433061711
## 236          Placebo         1         48  0.693166167  0.540677626
## 237          Placebo         2         48 -0.840798373  0.540677626
## 238          Placebo         3         48 -1.321814129  0.540677626
## 239          Placebo         4         48  1.310083080  0.540677626
## 240          Placebo         5         48  0.352013345  0.540677626
## 241             Drug         1         49  0.187908182 -0.219502721
## 242             Drug         2         49 -0.928538902 -0.219502721
## 243             Drug         3         49  0.352882517 -0.219502721
## 244             Drug         4         49 -0.758471311 -0.219502721
## 245             Drug         5         49 -0.120153077 -0.219502721
## 246          Placebo         1         50  0.651826034  1.348310100
## 247          Placebo         2         50  0.677546084  1.348310100
## 248          Placebo         3         50  0.597800679  1.348310100
## 249          Placebo         4         50  1.760097288  1.348310100
## 250          Placebo         5         50 -0.784181984  1.348310100
## 251          Placebo         1         51 -0.639689044  0.682281940
## 252          Placebo         2         51  1.767088893  0.682281940
## 253          Placebo         3         51 -1.296013063  0.682281940
## 254          Placebo         4         51  1.634885107  0.682281940
## 255          Placebo         5         51 -1.537900292  0.682281940
## 256             Drug         1         52  0.056613918  0.302230398
## 257             Drug         2         52 -0.350844760  0.302230398
## 258             Drug         3         52  0.846129896  0.302230398
## 259             Drug         4         52  0.505554152  0.302230398
## 260             Drug         5         52  0.007578769  0.302230398
## 261          Placebo         1         53  0.415968473 -0.117159969
## 262          Placebo         2         53 -0.291358829 -0.117159969
## 263          Placebo         3         53  0.683478529 -0.117159969
## 264          Placebo         4         53  0.388853662 -0.117159969
## 265          Placebo         5         53  0.680996507 -0.117159969
## 266          Placebo         1         54  0.071406998  0.555881428
## 267          Placebo         2         54 -0.025929312  0.555881428
## 268          Placebo         3         54  2.063076734  0.555881428
## 269          Placebo         4         54 -1.468525415  0.555881428
## 270          Placebo         5         54 -1.411644722  0.555881428
## 271          Placebo         1         55  0.535901154 -0.328128156
## 272          Placebo         2         55  0.225380097 -0.328128156
## 273          Placebo         3         55 -0.894822997 -0.328128156
## 274          Placebo         4         55 -1.008382596 -0.328128156
## 275          Placebo         5         55  0.036826961 -0.328128156
## 276             Drug         1         56  1.151448549 -0.876722116
## 277             Drug         2         56  0.096951745 -0.876722116
## 278             Drug         3         56  0.693919176 -0.876722116
## 279             Drug         4         56  0.815211611 -0.876722116
## 280             Drug         5         56  0.425278632 -0.876722116
## 281          Placebo         1         57  0.598680527  0.106462346
## 282          Placebo         2         57 -0.123545706  0.106462346
## 283          Placebo         3         57  0.945938285  0.106462346
## 284          Placebo         4         57  1.393331331  0.106462346
## 285          Placebo         5         57  1.375471756  0.106462346
## 286             Drug         1         58  1.393493360  0.319403962
## 287             Drug         2         58 -0.073184495  0.319403962
## 288             Drug         3         58 -2.697451654  0.319403962
## 289             Drug         4         58 -2.058927874  0.319403962
## 290             Drug         5         58 -1.026588635  0.319403962
## 291             Drug         1         59 -1.989512442 -0.146721581
## 292             Drug         2         59 -0.049271118 -0.146721581
## 293             Drug         3         59  0.635984198 -0.146721581
## 294             Drug         4         59  1.316400967 -0.146721581
## 295             Drug         5         59 -0.451607356 -0.146721581
## 296          Placebo         1         60  0.198034679  0.588069622
## 297          Placebo         2         60  1.021715796  0.588069622
## 298          Placebo         3         60 -0.826326259  0.588069622
## 299          Placebo         4         60 -0.836663278  0.588069622
## 300          Placebo         5         60  0.081070273  0.588069622
## 301          Placebo         1          1  0.584499574 -0.148810487
## 302          Placebo         2          1 -0.728899054 -0.148810487
## 303          Placebo         3          1 -0.253994779 -0.148810487
## 304          Placebo         4          1 -1.023782207 -0.148810487
## 305          Placebo         5          1  0.300009046 -0.148810487
## 306             Drug         1          2  0.744975072 -0.248546817
## 307             Drug         2          2 -0.888736180 -0.248546817
## 308             Drug         3          2 -0.141579844 -0.248546817
## 309             Drug         4          2 -0.201100418 -0.248546817
## 310             Drug         5          2  1.168957947 -0.248546817
## 311             Drug         1          3  0.310355805  0.061367220
## 312             Drug         2          3 -0.430566969  0.061367220
## 313             Drug         3          3 -0.823358240  0.061367220
## 314             Drug         4          3  0.763986894  0.061367220
## 315             Drug         5          3  0.737533868  0.061367220
## 316          Placebo         1          4 -0.898162824  0.118888240
## 317          Placebo         2          4 -0.387909369  0.118888240
## 318          Placebo         3          4  0.051199606  0.118888240
## 319          Placebo         4          4  1.594107384  0.118888240
## 320          Placebo         5          4  0.225579466  0.118888240
## 321          Placebo         1          5 -1.877614863 -0.198866762
## 322          Placebo         2          5  1.125453078 -0.198866762
## 323          Placebo         3          5  1.614523225 -0.198866762
## 324          Placebo         4          5 -0.370421277 -0.198866762
## 325          Placebo         5          5  0.205192117 -0.198866762
## 326             Drug         1          6 -0.266290498 -0.501106135
## 327             Drug         2          6  2.220095801 -0.501106135
## 328             Drug         3          6 -0.639664984 -0.501106135
## 329             Drug         4          6 -0.402650208 -0.501106135
## 330             Drug         5          6 -1.164493266 -0.501106135
## 331             Drug         1          7  0.202779496  0.576789456
## 332             Drug         2          7  0.414051035  0.576789456
## 333             Drug         3          7  1.200744475  0.576789456
## 334             Drug         4          7 -1.080691298  0.576789456
## 335             Drug         5          7  0.196686605  0.576789456
## 336             Drug         1          8  1.425583657 -0.321432284
## 337             Drug         2          8  0.171194505 -0.321432284
## 338             Drug         3          8  0.039337005 -0.321432284
## 339             Drug         4          8 -0.565224931 -0.321432284
## 340             Drug         5          8 -0.656878487 -0.321432284
## 341          Placebo         1          9 -0.731858019  0.032837254
## 342          Placebo         2          9  0.538465875  0.032837254
## 343          Placebo         3          9  1.326343669  0.032837254
## 344          Placebo         4          9 -2.643108073  0.032837254
## 345          Placebo         5          9 -0.261366826  0.032837254
## 346          Placebo         1         10  0.821975645 -0.830288465
## 347          Placebo         2         10  0.442709265 -0.830288465
## 348          Placebo         3         10 -1.176862838 -0.830288465
## 349          Placebo         4         10  0.811446112 -0.830288465
## 350          Placebo         5         10 -0.474980623 -0.830288465
## 351             Drug         1         11  0.597400127 -0.167890186
## 352             Drug         2         11  0.847729281 -0.167890186
## 353             Drug         3         11  0.527568220 -0.167890186
## 354             Drug         4         11 -1.310513086 -0.167890186
## 355             Drug         5         11 -1.437597927 -0.167890186
## 356             Drug         1         12  0.324375522 -0.013809581
## 357             Drug         2         12 -0.698584880 -0.013809581
## 358             Drug         3         12  1.080679950 -0.013809581
## 359             Drug         4         12  1.246282293 -0.013809581
## 360             Drug         5         12 -0.006643101 -0.013809581
## 361          Placebo         1         13  1.830806003  0.055784534
## 362          Placebo         2         13  0.096801298  0.055784534
## 363          Placebo         3         13  0.504281611  0.055784534
## 364          Placebo         4         13  0.030820510  0.055784534
## 365          Placebo         5         13  2.888742479  0.055784534
## 366             Drug         1         14  0.261714043 -0.607177290
## 367             Drug         2         14 -1.416790198 -0.607177290
## 368             Drug         3         14 -1.415124303 -0.607177290
## 369             Drug         4         14 -1.141291957 -0.607177290
## 370             Drug         5         14 -0.174976951 -0.607177290
## 371             Drug         1         15  0.180917174  0.089039185
## 372             Drug         2         15 -0.190468398  0.089039185
## 373             Drug         3         15 -0.320824154  0.089039185
## 374             Drug         4         15 -0.468112509  0.089039185
## 375             Drug         5         15  1.985496059  0.089039185
## 376             Drug         1         16  1.595875833  0.080449719
## 377             Drug         2         16 -0.336405796  0.080449719
## 378             Drug         3         16  0.687472021  0.080449719
## 379             Drug         4         16  0.128128140  0.080449719
## 380             Drug         5         16 -0.248904058  0.080449719
## 381             Drug         1         17 -0.679000089 -0.027727140
## 382             Drug         2         17  1.002193810 -0.027727140
## 383             Drug         3         17 -0.426956326 -0.027727140
## 384             Drug         4         17  0.196050620 -0.027727140
## 385             Drug         5         17  0.503188717 -0.027727140
## 386          Placebo         1         18  0.834669420 -0.571338311
## 387          Placebo         2         18 -0.510852326 -0.571338311
## 388          Placebo         3         18 -0.760803705 -0.571338311
## 389          Placebo         4         18 -0.590824867 -0.571338311
## 390          Placebo         5         18 -0.594909059 -0.571338311
## 391          Placebo         1         19  0.606419051  0.294539063
## 392          Placebo         2         19 -0.815094560  0.294539063
## 393          Placebo         3         19 -0.115829178  0.294539063
## 394          Placebo         4         19 -0.578952987  0.294539063
## 395          Placebo         5         19  2.493000982  0.294539063
## 396             Drug         1         20  1.246992168 -0.008674858
## 397             Drug         2         20  0.641840674 -0.008674858
## 398             Drug         3         20 -0.171556770 -0.008674858
## 399             Drug         4         20  0.711245694 -0.008674858
## 400             Drug         5         20 -1.776011848 -0.008674858
## 401             Drug         1         21  0.399859597  0.360472402
## 402             Drug         2         21 -0.998019771  0.360472402
## 403             Drug         3         21 -1.627548444  0.360472402
## 404             Drug         4         21  0.900469095  0.360472402
## 405             Drug         5         21 -0.515980331  0.360472402
## 406          Placebo         1         22 -0.173575189 -0.155821963
## 407          Placebo         2         22 -1.115892072 -0.155821963
## 408          Placebo         3         22  1.694984432 -0.155821963
## 409          Placebo         4         22 -0.043773754 -0.155821963
## 410          Placebo         5         22 -0.265432735 -0.155821963
## 411             Drug         1         23  0.963602573  0.518386784
## 412             Drug         2         23  0.240101744  0.518386784
## 413             Drug         3         23  2.277024966  0.518386784
## 414             Drug         4         23  0.153124305  0.518386784
## 415             Drug         5         23 -0.324879546  0.518386784
## 416          Placebo         1         24  1.244245785 -0.734971888
## 417          Placebo         2         24  0.561246828 -0.734971888
## 418          Placebo         3         24  0.161515446 -0.734971888
## 419          Placebo         4         24 -1.474876733 -0.734971888
## 420          Placebo         5         24 -0.473619942 -0.734971888
## 421             Drug         1         25  0.439560308  0.206966563
## 422             Drug         2         25 -0.033461978  0.206966563
## 423             Drug         3         25  1.242060247  0.206966563
## 424             Drug         4         25  2.641814089  0.206966563
## 425             Drug         5         25  0.405996416  0.206966563
## 426          Placebo         1         26  0.032169234 -0.032543282
## 427          Placebo         2         26  2.009942044 -0.032543282
## 428          Placebo         3         26  0.218284966 -0.032543282
## 429          Placebo         4         26  0.906239607 -0.032543282
## 430          Placebo         5         26 -0.795542138 -0.032543282
## 431          Placebo         1         27  0.056297788 -0.395050044
## 432          Placebo         2         27  1.128203455 -0.395050044
## 433          Placebo         3         27  1.457499201 -0.395050044
## 434          Placebo         4         27 -0.724170670 -0.395050044
## 435          Placebo         5         27  0.534120143 -0.395050044
## 436             Drug         1         28  1.806182040 -0.753549569
## 437             Drug         2         28  0.138678755 -0.753549569
## 438             Drug         3         28  2.422892557 -0.753549569
## 439             Drug         4         28  0.228657246 -0.753549569
## 440             Drug         5         28  1.521475955 -0.753549569
## 441          Placebo         1         29  0.608091393 -0.313398827
## 442          Placebo         2         29  0.717989306 -0.313398827
## 443          Placebo         3         29 -0.784959730 -0.313398827
## 444          Placebo         4         29 -0.026495645 -0.313398827
## 445          Placebo         5         29 -0.623762096 -0.313398827
## 446             Drug         1         30 -0.816399208  0.945602947
## 447             Drug         2         30 -0.515653682  0.945602947
## 448             Drug         3         30 -0.237274705  0.945602947
## 449             Drug         4         30  0.341674471  0.945602947
## 450             Drug         5         30  0.102017716  0.945602947
## 451          Placebo         1         31 -0.273936211  0.325891898
## 452          Placebo         2         31  0.189996491  0.325891898
## 453          Placebo         3         31  0.528225141  0.325891898
## 454          Placebo         4         31  0.514692828  0.325891898
## 455          Placebo         5         31  0.736989693  0.325891898
## 456          Placebo         1         32 -0.209661173 -0.520689353
## 457          Placebo         2         32  1.118658198 -0.520689353
## 458          Placebo         3         32 -0.234073997 -0.520689353
## 459          Placebo         4         32  0.764624183 -0.520689353
## 460          Placebo         5         32  0.223922350 -0.520689353
## 461          Placebo         1         33 -0.952513510  0.103369578
## 462          Placebo         2         33  0.045693356  0.103369578
## 463          Placebo         3         33  1.302504840  0.103369578
## 464          Placebo         4         33  0.553797069  0.103369578
## 465          Placebo         5         33 -0.411864907  0.103369578
## 466             Drug         1         34  0.285939249  0.038061470
## 467             Drug         2         34 -0.937785931  0.038061470
## 468             Drug         3         34  0.256486603  0.038061470
## 469             Drug         4         34 -0.888266475  0.038061470
## 470             Drug         5         34  0.706664882  0.038061470
## 471             Drug         1         35  1.890900831 -0.035997968
## 472             Drug         2         35 -0.371567982 -0.035997968
## 473             Drug         3         35  0.502747375 -0.035997968
## 474             Drug         4         35  0.439473157 -0.035997968
## 475             Drug         5         35 -0.875321183 -0.035997968
## 476             Drug         1         36  0.249716072 -0.188664180
## 477             Drug         2         36 -0.387681106 -0.188664180
## 478             Drug         3         36 -0.208093213 -0.188664180
## 479             Drug         4         36 -0.497344843 -0.188664180
## 480             Drug         5         36  1.044429204 -0.188664180
## 481             Drug         1         37  0.813996278 -0.217819139
## 482             Drug         2         37 -0.783152843 -0.217819139
## 483             Drug         3         37 -0.531244678 -0.217819139
## 484             Drug         4         37 -1.700542034 -0.217819139
## 485             Drug         5         37  1.140785479 -0.217819139
## 486             Drug         1         38  0.057603774  0.006400933
## 487             Drug         2         38 -1.384713106  0.006400933
## 488             Drug         3         38 -1.652943579  0.006400933
## 489             Drug         4         38  1.691554573  0.006400933
## 490             Drug         5         38  2.908855326  0.006400933
## 491             Drug         1         39 -0.704273621 -0.284757377
## 492             Drug         2         39  0.321662250 -0.284757377
## 493             Drug         3         39 -0.861923751 -0.284757377
## 494             Drug         4         39  0.970733380 -0.284757377
## 495             Drug         5         39 -1.677400931 -0.284757377
## 496             Drug         1         40 -0.059711676  0.181761984
## 497             Drug         2         40 -0.170247023  0.181761984
## 498             Drug         3         40  0.631833186  0.181761984
## 499             Drug         4         40 -0.097954400  0.181761984
## 500             Drug         5         40 -0.446106619  0.181761984
## 501             Drug         1         41  2.042029944 -0.195280573
## 502             Drug         2         41 -0.540339640 -0.195280573
## 503             Drug         3         41  0.902613036 -0.195280573
## 504             Drug         4         41  0.285141863 -0.195280573
## 505             Drug         5         41  0.739375033 -0.195280573
## 506          Placebo         1         42  1.014196113 -0.867738128
## 507          Placebo         2         42  0.040841579 -0.867738128
## 508          Placebo         3         42  1.233150036 -0.867738128
## 509          Placebo         4         42 -0.232408112 -0.867738128
## 510          Placebo         5         42 -0.560405785 -0.867738128
## 511          Placebo         1         43  2.793408800  1.244626899
## 512          Placebo         2         43  0.608223715  1.244626899
## 513          Placebo         3         43  0.650164131  1.244626899
## 514          Placebo         4         43 -0.432510636  1.244626899
## 515          Placebo         5         43  0.416329369  1.244626899
## 516             Drug         1         44 -0.310802137  0.242434808
## 517             Drug         2         44  1.130253230  0.242434808
## 518             Drug         3         44 -1.129060605  0.242434808
## 519             Drug         4         44  0.915027387  0.242434808
## 520             Drug         5         44 -0.079342724  0.242434808
## 521             Drug         1         45 -3.132766562  0.202209738
## 522             Drug         2         45  2.003219150  0.202209738
## 523             Drug         3         45 -0.087486738  0.202209738
## 524             Drug         4         45  0.650784659  0.202209738
## 525             Drug         5         45 -0.070571094  0.202209738
## 526             Drug         1         46 -0.005382121  0.096998528
## 527             Drug         2         46 -0.316133419  0.096998528
## 528             Drug         3         46  0.947176817  0.096998528
## 529             Drug         4         46  0.149055339  0.096998528
## 530             Drug         5         46 -0.221165423  0.096998528
## 531             Drug         1         47  2.103220694  0.357075355
## 532             Drug         2         47  1.398728464  0.357075355
## 533             Drug         3         47  1.239347165  0.357075355
## 534             Drug         4         47  1.185032755  0.357075355
## 535             Drug         5         47  1.271870990  0.357075355
## 536             Drug         1         48 -1.062185283  0.049468016
## 537             Drug         2         48 -0.729246031  0.049468016
## 538             Drug         3         48  0.282932821  0.049468016
## 539             Drug         4         48  0.167656668  0.049468016
## 540             Drug         5         48  0.224023527  0.049468016
## 541          Placebo         1         49  2.051932864  0.112639806
## 542          Placebo         2         49 -0.021804307  0.112639806
## 543          Placebo         3         49  0.343716838  0.112639806
## 544          Placebo         4         49  0.527013521  0.112639806
## 545          Placebo         5         49 -0.326395254  0.112639806
## 546          Placebo         1         50  1.763983250  0.048742590
## 547          Placebo         2         50  0.030849240  0.048742590
## 548          Placebo         3         50 -1.035180530  0.048742590
## 549          Placebo         4         50  0.349960543  0.048742590
## 550          Placebo         5         50  0.621717437  0.048742590
## 551          Placebo         1         51  0.108500068  0.114459095
## 552          Placebo         2         51  0.702009611  0.114459095
## 553          Placebo         3         51  0.406187674  0.114459095
## 554          Placebo         4         51 -0.853312980  0.114459095
## 555          Placebo         5         51 -0.031301130  0.114459095
## 556             Drug         1         52  0.523866702 -0.099834443
## 557             Drug         2         52 -0.335938403 -0.099834443
## 558             Drug         3         52 -0.079338950 -0.099834443
## 559             Drug         4         52 -0.436144789 -0.099834443
## 560             Drug         5         52  0.363113353 -0.099834443
## 561             Drug         1         53 -0.484609372 -0.175086887
## 562             Drug         2         53  0.651631762 -0.175086887
## 563             Drug         3         53  0.168328500 -0.175086887
## 564             Drug         4         53  0.161312371 -0.175086887
## 565             Drug         5         53  0.259455791 -0.175086887
## 566             Drug         1         54 -1.456517028 -0.652675046
## 567             Drug         2         54  0.789018030 -0.652675046
## 568             Drug         3         54 -1.162604147 -0.652675046
## 569             Drug         4         54 -0.279276443 -0.652675046
## 570             Drug         5         54 -0.655437568 -0.652675046
## 571             Drug         1         55  2.482754366  0.385065732
## 572             Drug         2         55  0.997581023  0.385065732
## 573             Drug         3         55 -0.124709761  0.385065732
## 574             Drug         4         55 -2.038976817  0.385065732
## 575             Drug         5         55  1.022885097  0.385065732
## 576             Drug         1         56 -1.120219721  0.449601830
## 577             Drug         2         56 -0.431876257  0.449601830
## 578             Drug         3         56 -0.940225102  0.449601830
## 579             Drug         4         56  1.055158748  0.449601830
## 580             Drug         5         56 -0.485146466  0.449601830
## 581          Placebo         1         57  0.397410777 -0.115273717
## 582          Placebo         2         57 -0.949691981 -0.115273717
## 583          Placebo         3         57 -0.800904730 -0.115273717
## 584          Placebo         4         57  0.737580531 -0.115273717
## 585          Placebo         5         57 -0.883985800 -0.115273717
## 586          Placebo         1         58 -0.919499899 -0.781794499
## 587          Placebo         2         58  1.081659504 -0.781794499
## 588          Placebo         3         58 -0.557996981 -0.781794499
## 589          Placebo         4         58  1.541774745 -0.781794499
## 590          Placebo         5         58  1.247525252 -0.781794499
## 591             Drug         1         59  0.800704995  0.446962246
## 592             Drug         2         59 -0.708466732  0.446962246
## 593             Drug         3         59 -0.833631261  0.446962246
## 594             Drug         4         59  0.569520451  0.446962246
## 595             Drug         5         59  0.431060033  0.446962246
## 596             Drug         1         60  0.532895542  0.432737120
## 597             Drug         2         60  1.552885833  0.432737120
## 598             Drug         3         60 -1.171772440  0.432737120
## 599             Drug         4         60 -0.642479497  0.432737120
## 600             Drug         5         60  0.151627088  0.432737120
## 601             Drug         1          1  1.366391179 -0.069472550
## 602             Drug         2          1  0.625828542 -0.069472550
## 603             Drug         3          1  0.226850049 -0.069472550
## 604             Drug         4          1 -0.566362252 -0.069472550
## 605             Drug         5          1 -0.777444823 -0.069472550
## 606          Placebo         1          2  0.966182530  0.317935881
## 607          Placebo         2          2  0.477989406  0.317935881
## 608          Placebo         3          2 -0.051878335  0.317935881
## 609          Placebo         4          2  1.010710778  0.317935881
## 610          Placebo         5          2  0.129568579  0.317935881
## 611          Placebo         1          3 -0.054020039  0.388227100
## 612          Placebo         2          3  1.106062964  0.388227100
## 613          Placebo         3          3 -0.538475979  0.388227100
## 614          Placebo         4          3 -0.914869044  0.388227100
## 615          Placebo         5          3  0.612587165  0.388227100
## 616          Placebo         1          4 -0.185026544 -0.030974029
## 617          Placebo         2          4 -1.971744332 -0.030974029
## 618          Placebo         3          4  0.106946659 -0.030974029
## 619          Placebo         4          4  0.651559995 -0.030974029
## 620          Placebo         5          4  0.005515251 -0.030974029
## 621          Placebo         1          5  0.363098856  0.798469903
## 622          Placebo         2          5  0.503148707  0.798469903
## 623          Placebo         3          5  0.767810275  0.798469903
## 624          Placebo         4          5 -0.186692661  0.798469903
## 625          Placebo         5          5  0.533907201  0.798469903
## 626             Drug         1          6 -2.091712049  0.256664138
## 627             Drug         2          6  0.266655893  0.256664138
## 628             Drug         3          6  0.800452875  0.256664138
## 629             Drug         4          6  0.235219188  0.256664138
## 630             Drug         5          6 -0.605490886  0.256664138
## 631          Placebo         1          7 -2.274717024  0.290003080
## 632          Placebo         2          7  0.215882658  0.290003080
## 633          Placebo         3          7  0.857225184  0.290003080
## 634          Placebo         4          7  0.137442239  0.290003080
## 635          Placebo         5          7 -1.275744550  0.290003080
## 636             Drug         1          8  1.317336160 -0.749602715
## 637             Drug         2          8 -0.159518327 -0.749602715
## 638             Drug         3          8 -0.173576420 -0.749602715
## 639             Drug         4          8  0.503902379 -0.749602715
## 640             Drug         5          8 -0.635172812 -0.749602715
## 641          Placebo         1          9  0.964770554  0.038973804
## 642          Placebo         2          9 -0.916890695  0.038973804
## 643          Placebo         3          9  0.033687503  0.038973804
## 644          Placebo         4          9  0.543002487  0.038973804
## 645          Placebo         5          9  0.413978229  0.038973804
## 646             Drug         1         10 -0.014634827  0.789957138
## 647             Drug         2         10  0.337132651  0.789957138
## 648             Drug         3         10 -0.644254267  0.789957138
## 649             Drug         4         10 -0.257509117  0.789957138
## 650             Drug         5         10  1.404166127  0.789957138
## 651             Drug         1         11 -0.107882036  0.958958524
## 652             Drug         2         11  0.921623260  0.958958524
## 653             Drug         3         11 -0.622961848  0.958958524
## 654             Drug         4         11  0.897532727  0.958958524
## 655             Drug         5         11  1.534021723  0.958958524
## 656             Drug         1         12  0.597231444  0.097733463
## 657             Drug         2         12  1.032975608  0.097733463
## 658             Drug         3         12  0.088501237  0.097733463
## 659             Drug         4         12 -0.791640482  0.097733463
## 660             Drug         5         12  0.460812530  0.097733463
## 661             Drug         1         13 -1.829123357  0.196247483
## 662             Drug         2         13  1.021432782  0.196247483
## 663             Drug         3         13 -0.763519618  0.196247483
## 664             Drug         4         13  0.035036282  0.196247483
## 665             Drug         5         13  0.310143433  0.196247483
## 666             Drug         1         14 -0.245946055 -0.131824601
## 667             Drug         2         14  0.545211840 -0.131824601
## 668             Drug         3         14  0.143882521 -0.131824601
## 669             Drug         4         14  0.302493926 -0.131824601
## 670             Drug         5         14 -1.275438943 -0.131824601
## 671             Drug         1         15 -1.811993066 -0.278639357
## 672             Drug         2         15 -1.168194858 -0.278639357
## 673             Drug         3         15 -0.549308292 -0.278639357
## 674             Drug         4         15 -0.345140343 -0.278639357
## 675             Drug         5         15 -0.652154014 -0.278639357
## 676             Drug         1         16  0.166012353 -0.072140456
## 677             Drug         2         16  2.312354779 -0.072140456
## 678             Drug         3         16 -0.297920445 -0.072140456
## 679             Drug         4         16 -0.469082116 -0.072140456
## 680             Drug         5         16  0.547701562 -0.072140456
## 681             Drug         1         17 -0.629103190  0.208055009
## 682             Drug         2         17  0.903086936  0.208055009
## 683             Drug         3         17  0.816772348  0.208055009
## 684             Drug         4         17 -2.051205396  0.208055009
## 685             Drug         5         17  0.597584075  0.208055009
## 686             Drug         1         18  1.476691991  0.990139371
## 687             Drug         2         18  0.307113245  0.990139371
## 688             Drug         3         18 -0.558221371  0.990139371
## 689             Drug         4         18 -0.961048317  0.990139371
## 690             Drug         5         18  0.729705064  0.990139371
## 691          Placebo         1         19  1.609712144  0.123690550
## 692          Placebo         2         19 -0.919744595  0.123690550
## 693          Placebo         3         19 -1.148191066  0.123690550
## 694          Placebo         4         19 -0.558800893  0.123690550
## 695          Placebo         5         19  2.328604691  0.123690550
## 696             Drug         1         20  0.191665703  0.283890033
## 697             Drug         2         20 -1.622286277  0.283890033
## 698             Drug         3         20 -1.495845191  0.283890033
## 699             Drug         4         20  0.863067528  0.283890033
## 700             Drug         5         20 -1.363522639  0.283890033
## 701          Placebo         1         21 -0.156423522  0.006628693
## 702          Placebo         2         21  0.734270601  0.006628693
## 703          Placebo         3         21 -1.292315108  0.006628693
## 704          Placebo         4         21  0.939632945  0.006628693
## 705          Placebo         5         21 -1.069231474  0.006628693
## 706          Placebo         1         22 -0.257907892 -0.317602325
## 707          Placebo         2         22 -0.725105919 -0.317602325
## 708          Placebo         3         22 -0.507284595 -0.317602325
## 709          Placebo         4         22 -0.670652148 -0.317602325
## 710          Placebo         5         22  0.340699711 -0.317602325
## 711          Placebo         1         23  0.096723522 -0.319195801
## 712          Placebo         2         23  1.243237042 -0.319195801
## 713          Placebo         3         23  0.564158827 -0.319195801
## 714          Placebo         4         23  1.521774309 -0.319195801
## 715          Placebo         5         23 -0.998935682 -0.319195801
## 716          Placebo         1         24 -2.983334707  1.412440833
## 717          Placebo         2         24  0.793024605  1.412440833
## 718          Placebo         3         24 -0.617681295  1.412440833
## 719          Placebo         4         24  0.395404623  1.412440833
## 720          Placebo         5         24  2.134187512  1.412440833
## 721             Drug         1         25  0.007770405 -0.068650326
## 722             Drug         2         25  1.079674632 -0.068650326
## 723             Drug         3         25 -0.038329152 -0.068650326
## 724             Drug         4         25  2.126232112 -0.068650326
## 725             Drug         5         25  0.732616114 -0.068650326
## 726          Placebo         1         26 -0.327738297  0.940543259
## 727          Placebo         2         26 -0.571081769  0.940543259
## 728          Placebo         3         26 -0.212119866  0.940543259
## 729          Placebo         4         26 -1.199015662  0.940543259
## 730          Placebo         5         26 -0.734751276  0.940543259
## 731             Drug         1         27 -1.664632211 -0.221800836
## 732             Drug         2         27 -1.110371813 -0.221800836
## 733             Drug         3         27  0.247756118 -0.221800836
## 734             Drug         4         27 -1.467930919 -0.221800836
## 735             Drug         5         27 -0.720808907 -0.221800836
## 736             Drug         1         28  1.448252411  0.228126114
## 737             Drug         2         28  0.842209958  0.228126114
## 738             Drug         3         28  0.901463421  0.228126114
## 739             Drug         4         28 -1.845424698  0.228126114
## 740             Drug         5         28  1.158312473  0.228126114
## 741             Drug         1         29 -0.147581581  0.079788977
## 742             Drug         2         29  0.646551975  0.079788977
## 743             Drug         3         29 -0.178389644  0.079788977
## 744             Drug         4         29  0.268121232  0.079788977
## 745             Drug         5         29 -0.751123311  0.079788977
## 746          Placebo         1         30  0.091668947  0.402520147
## 747          Placebo         2         30  0.982018487  0.402520147
## 748          Placebo         3         30  2.452324537  0.402520147
## 749          Placebo         4         30 -0.974661569  0.402520147
## 750          Placebo         5         30 -0.130709302  0.402520147
## 751             Drug         1         31  0.089137757  0.046580691
## 752             Drug         2         31 -1.016142590  0.046580691
## 753             Drug         3         31  1.373280152  0.046580691
## 754             Drug         4         31  2.585267504  0.046580691
## 755             Drug         5         31  0.782147823  0.046580691
## 756             Drug         1         32  0.358785632 -0.047828256
## 757             Drug         2         32  1.898180983 -0.047828256
## 758             Drug         3         32  1.481955745 -0.047828256
## 759             Drug         4         32 -0.324759897 -0.047828256
## 760             Drug         5         32 -1.011040255 -0.047828256
## 761          Placebo         1         33  0.411686446 -0.782022515
## 762          Placebo         2         33 -0.368054231 -0.782022515
## 763          Placebo         3         33 -1.914238082 -0.782022515
## 764          Placebo         4         33  0.697670336 -0.782022515
## 765          Placebo         5         33  1.051547451 -0.782022515
## 766          Placebo         1         34  0.428691487 -0.519277059
## 767          Placebo         2         34 -1.462588386 -0.519277059
## 768          Placebo         3         34  0.112556763 -0.519277059
## 769          Placebo         4         34  0.774140554 -0.519277059
## 770          Placebo         5         34  0.102183218 -0.519277059
## 771             Drug         1         35 -1.170609088  0.184788656
## 772             Drug         2         35  0.579968478  0.184788656
## 773             Drug         3         35  0.255732083  0.184788656
## 774             Drug         4         35 -2.088752566  0.184788656
## 775             Drug         5         35  1.648832335  0.184788656
## 776          Placebo         1         36 -0.061561044 -0.393826919
## 777          Placebo         2         36 -2.204048486 -0.393826919
## 778          Placebo         3         36 -0.024098978 -0.393826919
## 779          Placebo         4         36  1.518398127 -0.393826919
## 780          Placebo         5         36 -1.621081332 -0.393826919
## 781             Drug         1         37 -0.991115469 -0.412985327
## 782             Drug         2         37 -1.714837369 -0.412985327
## 783             Drug         3         37  0.165497670 -0.412985327
## 784             Drug         4         37  0.024139024 -0.412985327
## 785             Drug         5         37  0.834251882 -0.412985327
## 786             Drug         1         38 -1.203307493  0.301410525
## 787             Drug         2         38  1.003775785  0.301410525
## 788             Drug         3         38 -0.805311443  0.301410525
## 789             Drug         4         38  1.790486120  0.301410525
## 790             Drug         5         38  0.219965073  0.301410525
## 791          Placebo         1         39 -0.901487813  0.499554537
## 792          Placebo         2         39 -0.029097026  0.499554537
## 793          Placebo         3         39 -1.238041005  0.499554537
## 794          Placebo         4         39 -1.085362302  0.499554537
## 795          Placebo         5         39 -2.609862182  0.499554537
## 796          Placebo         1         40 -1.639529119  0.597242989
## 797          Placebo         2         40 -0.590855754  0.597242989
## 798          Placebo         3         40  0.424229221  0.597242989
## 799          Placebo         4         40  2.172511376  0.597242989
## 800          Placebo         5         40 -0.366568189  0.597242989
## 801          Placebo         1         41  0.111607988  0.469401023
## 802          Placebo         2         41 -0.241112226  0.469401023
## 803          Placebo         3         41 -0.340214704  0.469401023
## 804          Placebo         4         41  1.457383567  0.469401023
## 805          Placebo         5         41 -1.882935085  0.469401023
## 806             Drug         1         42  1.813091055  0.469654045
## 807             Drug         2         42 -0.855255188  0.469654045
## 808             Drug         3         42 -1.731212875  0.469654045
## 809             Drug         4         42  0.663642129  0.469654045
## 810             Drug         5         42 -1.536571134  0.469654045
## 811          Placebo         1         43 -1.035771178 -0.242914359
## 812          Placebo         2         43  0.333208008 -0.242914359
## 813          Placebo         3         43  0.051030130 -0.242914359
## 814          Placebo         4         43  0.099133330 -0.242914359
## 815          Placebo         5         43 -1.086025992 -0.242914359
## 816          Placebo         1         44  1.130210963 -0.755618814
## 817          Placebo         2         44  2.279293920 -0.755618814
## 818          Placebo         3         44  1.211635067 -0.755618814
## 819          Placebo         4         44  2.769987327 -0.755618814
## 820          Placebo         5         44  1.225728934 -0.755618814
## 821             Drug         1         45  1.202599374  0.035326056
## 822             Drug         2         45  2.132320625  0.035326056
## 823             Drug         3         45 -0.672693582  0.035326056
## 824             Drug         4         45  0.595460020  0.035326056
## 825             Drug         5         45  0.740708153  0.035326056
## 826             Drug         1         46 -0.858746201  0.049958964
## 827             Drug         2         46 -0.764487160  0.049958964
## 828             Drug         3         46  1.474990177  0.049958964
## 829             Drug         4         46 -1.352272885  0.049958964
## 830             Drug         5         46  0.846552769  0.049958964
## 831             Drug         1         47  0.291190243  0.368139915
## 832             Drug         2         47 -0.429320842  0.368139915
## 833             Drug         3         47  0.740986840  0.368139915
## 834             Drug         4         47  0.674819699  0.368139915
## 835             Drug         5         47  0.719049762  0.368139915
## 836             Drug         1         48  0.289586844  0.429660007
## 837             Drug         2         48  0.732664171  0.429660007
## 838             Drug         3         48 -0.394344401  0.429660007
## 839             Drug         4         48 -0.873092953  0.429660007
## 840             Drug         5         48  0.125085820  0.429660007
## 841          Placebo         1         49  0.359580391 -0.100445512
## 842          Placebo         2         49  0.286846184 -0.100445512
## 843          Placebo         3         49  0.321984933 -0.100445512
## 844          Placebo         4         49  0.458622557 -0.100445512
## 845          Placebo         5         49 -0.137708246 -0.100445512
## 846             Drug         1         50  0.200239951  0.517803772
## 847             Drug         2         50  0.734202946  0.517803772
## 848             Drug         3         50  0.678395797  0.517803772
## 849             Drug         4         50 -0.302485589  0.517803772
## 850             Drug         5         50  1.936086774  0.517803772
## 851          Placebo         1         51 -0.742832002  0.979500089
## 852          Placebo         2         51  2.105894249  0.979500089
## 853          Placebo         3         51 -1.467770270  0.979500089
## 854          Placebo         4         51  0.401371045  0.979500089
## 855          Placebo         5         51  0.364306585  0.979500089
## 856          Placebo         1         52 -0.316428560  0.459741734
## 857          Placebo         2         52 -1.251972736  0.459741734
## 858          Placebo         3         52  0.409031947  0.459741734
## 859          Placebo         4         52 -1.439591218  0.459741734
## 860          Placebo         5         52 -0.217282227  0.459741734
## 861             Drug         1         53  0.707856113  0.191953007
## 862             Drug         2         53 -0.258816950  0.191953007
## 863             Drug         3         53  0.568877003  0.191953007
## 864             Drug         4         53  0.727810601  0.191953007
## 865             Drug         5         53  0.215277586  0.191953007
## 866          Placebo         1         54 -1.125712162  0.585338919
## 867          Placebo         2         54  0.061729399  0.585338919
## 868          Placebo         3         54  1.805296834  0.585338919
## 869          Placebo         4         54  0.085893572  0.585338919
## 870          Placebo         5         54  1.818700241  0.585338919
## 871          Placebo         1         55  0.368831059  0.241595849
## 872          Placebo         2         55  0.876346062  0.241595849
## 873          Placebo         3         55  2.832938410  0.241595849
## 874          Placebo         4         55 -1.443482888  0.241595849
## 875          Placebo         5         55 -0.437247356  0.241595849
## 876          Placebo         1         56  1.119719240 -1.000036349
## 877          Placebo         2         56  1.236900187 -1.000036349
## 878          Placebo         3         56  0.879027261 -1.000036349
## 879          Placebo         4         56  1.451532408 -1.000036349
## 880          Placebo         5         56 -0.382161216 -1.000036349
## 881             Drug         1         57  1.336915189 -0.171377542
## 882             Drug         2         57 -0.913528700 -0.171377542
## 883             Drug         3         57 -1.014629399 -0.171377542
## 884             Drug         4         57 -0.986490251 -0.171377542
## 885             Drug         5         57 -1.123320436 -0.171377542
## 886          Placebo         1         58  0.882587151  0.445794271
## 887          Placebo         2         58  0.441207354  0.445794271
## 888          Placebo         3         58 -1.948075908  0.445794271
## 889          Placebo         4         58  1.221622197  0.445794271
## 890          Placebo         5         58 -0.509893605  0.445794271
## 891             Drug         1         59  0.324160455 -0.428403006
## 892             Drug         2         59 -0.265771226 -0.428403006
## 893             Drug         3         59  0.415085256 -0.428403006
## 894             Drug         4         59  0.954634482 -0.428403006
## 895             Drug         5         59  1.626125110 -0.428403006
## 896             Drug         1         60  0.659459590  0.034357819
## 897             Drug         2         60  0.449275740  0.034357819
## 898             Drug         3         60  0.559634518  0.034357819
## 899             Drug         4         60 -0.979943123  0.034357819
## 900             Drug         5         60  0.379635436  0.034357819
##       time_clust fixed_outcome random_effects    resp_var
## 1   -0.203926262          4.75    0.256803861  3.15982960
## 2   -0.203926262          5.25    0.052877598  5.17407873
## 3   -0.203926262          5.75   -0.151048664  6.47183943
## 4   -0.203926262          6.25   -0.354974926  5.13879782
## 5   -0.203926262          6.75   -0.558901189  5.05105648
## 6    0.203297071          4.00   -0.101941218  3.39218444
## 7    0.203297071          4.50    0.101355853  5.54915047
## 8    0.203297071          5.00    0.304652924  3.52813311
## 9    0.203297071          5.50    0.507949994  6.56533670
## 10   0.203297071          6.00    0.711247065  7.51398931
## 11  -0.042737384          4.00   -0.457601015  2.00060327
## 12  -0.042737384          4.50   -0.500338398  4.45943205
## 13  -0.042737384          5.00   -0.543075782  4.42854288
## 14  -0.042737384          5.50   -0.585813166  4.24627957
## 15  -0.042737384          6.00   -0.628550549  2.67388703
## 16   0.919175340          4.00   -0.455598396  3.28264608
## 17   0.919175340          4.50    0.463576944  4.08971066
## 18   0.919175340          5.00    1.382752283  7.17003125
## 19   0.919175340          5.50    2.301927623  8.78605548
## 20   0.919175340          6.00    3.221102963  9.40673548
## 21   0.173256973          4.75   -0.986109101  3.81407272
## 22   0.173256973          5.25   -0.812852129  3.67938092
## 23   0.173256973          5.75   -0.639595156  4.84661336
## 24   0.173256973          6.25   -0.466338183  7.42901546
## 25   0.173256973          6.75   -0.293081210  5.53071578
## 26  -0.194069675          4.00    0.274156257  4.27249587
## 27  -0.194069675          4.50    0.080086582  4.64709642
## 28  -0.194069675          5.00   -0.113983094  6.17565773
## 29  -0.194069675          5.50   -0.308052769  5.36287449
## 30  -0.194069675          6.00   -0.502122444  6.67679487
## 31  -0.353634755          4.00    0.544849145  6.03495927
## 32  -0.353634755          4.50    0.191214390  3.31888763
## 33  -0.353634755          5.00   -0.162420365  5.53961848
## 34  -0.353634755          5.50   -0.516055120  5.15194843
## 35  -0.353634755          6.00   -0.869689875  2.73499871
## 36  -0.105088627          4.00   -0.230591852  2.60056895
## 37  -0.105088627          4.50   -0.335680479  3.62641290
## 38  -0.105088627          5.00   -0.440769106  5.22484651
## 39  -0.105088627          5.50   -0.545857733  3.64518370
## 40  -0.105088627          6.00   -0.650946360  6.31012153
## 41   0.509409753          4.00    0.072882354  4.83124321
## 42   0.509409753          4.50    0.582292107  5.36376144
## 43   0.509409753          5.00    1.091701860  7.73967403
## 44   0.509409753          5.50    1.601111613  5.31246448
## 45   0.509409753          6.00    2.110521366  7.95152115
## 46  -0.043921856          4.00    0.071378018  2.03766248
## 47  -0.043921856          4.50    0.027456161  5.95076028
## 48  -0.043921856          5.00   -0.016465695  6.51676576
## 49  -0.043921856          5.50   -0.060387551  5.42803321
## 50  -0.043921856          6.00   -0.104309407  6.38607285
## 51  -0.527478056          4.75    0.328510787  5.70459799
## 52  -0.527478056          5.25   -0.198967269  5.58532868
## 53  -0.527478056          5.75   -0.726445324  5.48030119
## 54  -0.527478056          6.25   -1.253923380  4.02479229
## 55  -0.527478056          6.75   -1.781401436  5.21482156
## 56   0.027325438          4.00   -0.252207815  1.93283995
## 57   0.027325438          4.50   -0.224882378  4.88824314
## 58   0.027325438          5.00   -0.197556940  6.09068052
## 59   0.027325438          5.50   -0.170231502  5.59082328
## 60   0.027325438          6.00   -0.142906064  6.60853420
## 61  -0.405254691          4.00   -0.192381786  3.33569408
## 62  -0.405254691          4.50   -0.597636477  4.46374091
## 63  -0.405254691          5.00   -1.002891169  3.15778317
## 64  -0.405254691          5.50   -1.408145860  3.73252853
## 65  -0.405254691          6.00   -1.813400551  5.13092524
## 66  -0.589452801          4.75   -0.018742108  5.39429989
## 67  -0.589452801          5.25   -0.608194909  5.46832530
## 68  -0.589452801          5.75   -1.197647710  7.09048088
## 69  -0.589452801          6.25   -1.787100511  4.84526989
## 70  -0.589452801          6.75   -2.376553312  3.57826348
## 71   0.743597552          4.75    1.176941283  4.66387036
## 72   0.743597552          5.25    1.920538835  6.42657512
## 73   0.743597552          5.75    2.664136387  7.88709438
## 74   0.743597552          6.25    3.407733939 10.11403709
## 75   0.743597552          6.75    4.151331491 13.60326244
## 76  -0.078183508          4.75    0.249547182  5.65469105
## 77  -0.078183508          5.25    0.171363674  4.94166502
## 78  -0.078183508          5.75    0.093180166  5.45462828
## 79  -0.078183508          6.25    0.014996658  7.69205993
## 80  -0.078183508          6.75   -0.063186850  6.12001492
## 81  -0.138114080          4.00   -0.774796888  2.42401629
## 82  -0.138114080          4.50   -0.912910969  2.75394328
## 83  -0.138114080          5.00   -1.051025049  3.89390142
## 84  -0.138114080          5.50   -1.189139129  4.19511510
## 85  -0.138114080          6.00   -1.327253209  4.12588677
## 86  -0.937290209          4.00   -0.482409377  3.98414349
## 87  -0.937290209          4.50   -1.419699586  2.96689349
## 88  -0.937290209          5.00   -2.356989795  1.84456510
## 89  -0.937290209          5.50   -3.294280004  2.89091226
## 90  -0.937290209          6.00   -4.231570213  2.79642955
## 91   0.041014291          4.00   -0.077421398  3.68135799
## 92   0.041014291          4.50   -0.036407107  4.50830179
## 93   0.041014291          5.00    0.004607184  5.34006410
## 94   0.041014291          5.50    0.045621475  4.00459963
## 95   0.041014291          6.00    0.086635766  5.53043973
## 96  -0.894621787          4.00   -0.677294130  3.28369474
## 97  -0.894621787          4.50   -1.571915918  1.83077752
## 98  -0.894621787          5.00   -2.466537705  2.74287037
## 99  -0.894621787          5.50   -3.361159492  3.41275431
## 100 -0.894621787          6.00   -4.255781279  2.62487899
## 101 -0.236900218          4.00    0.271310889  4.13608642
## 102 -0.236900218          4.50    0.034410672  4.84026333
## 103 -0.236900218          5.00   -0.202489546  4.81449764
## 104 -0.236900218          5.50   -0.439389764  4.57755876
## 105 -0.236900218          6.00   -0.676289981  4.51902233
## 106 -0.232394788          4.00    0.112910399  5.63984473
## 107 -0.232394788          4.50   -0.119484389  4.78082380
## 108 -0.232394788          5.00   -0.351879177  6.42971674
## 109 -0.232394788          5.50   -0.584273965  4.22079755
## 110 -0.232394788          6.00   -0.816668753  5.23100348
## 111 -0.195466599          4.75   -0.387451180  5.87271546
## 112 -0.195466599          5.25   -0.582917779  5.09660151
## 113 -0.195466599          5.75   -0.778384378  5.60089981
## 114 -0.195466599          6.25   -0.973850976  5.43109938
## 115 -0.195466599          6.75   -1.169317575  5.61165298
## 116 -0.362060047          4.75   -0.155584396  5.75019046
## 117 -0.362060047          5.25   -0.517644443  4.27065620
## 118 -0.362060047          5.75   -0.879704490  6.70340343
## 119 -0.362060047          6.25   -1.241764538  5.44544723
## 120 -0.362060047          6.75   -1.603824585  5.27102834
## 121 -0.079877468          4.00   -0.050938914  4.11820615
## 122 -0.079877468          4.50   -0.130816381  5.00573514
## 123 -0.079877468          5.00   -0.210693849  5.44520638
## 124 -0.079877468          5.50   -0.290571316  6.55516068
## 125 -0.079877468          6.00   -0.370448784  5.15699336
## 126  0.309826564          4.75    0.451611430  6.14268557
## 127  0.309826564          5.25    0.761437993  6.26508936
## 128  0.309826564          5.75    1.071264557  6.99663615
## 129  0.309826564          6.25    1.381091120  7.77699628
## 130  0.309826564          6.75    1.690917684  7.50042738
## 131 -0.341778947          4.75   -0.395451244  4.84644891
## 132 -0.341778947          5.25   -0.737230191  4.17448181
## 133 -0.341778947          5.75   -1.079009138  4.72364561
## 134 -0.341778947          6.25   -1.420788086  5.79444961
## 135 -0.341778947          6.75   -1.762567033  4.65311787
## 136  0.028009370          4.00   -0.731441992  2.29162697
## 137  0.028009370          4.50   -0.703432622  4.87570316
## 138  0.028009370          5.00   -0.675423252  3.73949822
## 139  0.028009370          5.50   -0.647413882  4.15585698
## 140  0.028009370          6.00   -0.619404512  5.19406531
## 141 -0.214531370          4.75   -0.552736147  3.88333670
## 142 -0.214531370          5.25   -0.767267517  3.94702750
## 143 -0.214531370          5.75   -0.981798887  5.15628531
## 144 -0.214531370          6.25   -1.196330257  4.54125398
## 145 -0.214531370          6.75   -1.410861627  3.84326943
## 146  0.659892262          4.00   -0.400699873  4.11194715
## 147  0.659892262          4.50    0.259192389  3.86522433
## 148  0.659892262          5.00    0.919084650  4.45762619
## 149  0.659892262          5.50    1.578976912  7.68502386
## 150  0.659892262          6.00    2.238869174  9.59650941
## 151 -0.484975483          4.75    0.524420882  5.27073624
## 152 -0.484975483          5.25    0.039445399  5.43866399
## 153 -0.484975483          5.75   -0.445530084  7.07147663
## 154 -0.484975483          6.25   -0.930505567  5.86781728
## 155 -0.484975483          6.75   -1.415481050  7.39320153
## 156  0.174755414          4.00    0.091640198  3.90378634
## 157  0.174755414          4.50    0.266395611  4.25365030
## 158  0.174755414          5.00    0.441151025  6.06064433
## 159  0.174755414          5.50    0.615906439  5.58711023
## 160  0.174755414          6.00    0.790661853  6.95751840
## 161  1.161410832          4.75    0.118839453  4.09533102
## 162  1.161410832          5.25    1.280250285  7.14377530
## 163  1.161410832          5.75    2.441661117  9.40924745
## 164  1.161410832          6.25    3.603071949 10.50380761
## 165  1.161410832          6.75    4.764482781 10.75959334
## 166  0.433997057          4.75    0.155880358  3.74628839
## 167  0.433997057          5.25    0.589877414  7.09256361
## 168  0.433997057          5.75    1.023874471  5.33848077
## 169  0.433997057          6.25    1.457871528  9.09826555
## 170  0.433997057          6.75    1.891868584  8.00525022
## 171 -0.589308615          4.75   -0.020945572  5.14898498
## 172 -0.589308615          5.25   -0.610254188  4.34172806
## 173 -0.589308615          5.75   -1.199562803  4.86653835
## 174 -0.589308615          6.25   -1.788871419  4.68916809
## 175 -0.589308615          6.75   -2.378180034  3.46470899
## 176 -0.056289259          4.00   -0.428877382  1.26296678
## 177 -0.056289259          4.50   -0.485166641  3.44150894
## 178 -0.056289259          5.00   -0.541455899  4.19474997
## 179 -0.056289259          5.50   -0.597745158  4.36532593
## 180 -0.056289259          6.00   -0.654034416  4.09463990
## 181 -0.319669907          4.00    0.094183592  4.55839357
## 182 -0.319669907          4.50   -0.225486315  4.49106993
## 183 -0.319669907          5.00   -0.545156222  3.62701418
## 184 -0.319669907          5.50   -0.864826128  3.22171972
## 185 -0.319669907          6.00   -1.184496035  4.04966105
## 186 -0.293650457          4.00   -0.482010852  4.17943693
## 187 -0.293650457          4.50   -0.775661309  1.82466096
## 188 -0.293650457          5.00   -1.069311766  2.77886213
## 189 -0.293650457          5.50   -1.362962222  4.26307218
## 190 -0.293650457          6.00   -1.656612679  4.24284909
## 191 -0.165317718          4.00    0.898015591  3.53424487
## 192 -0.165317718          4.50    0.732697873  4.65108895
## 193 -0.165317718          5.00    0.567380154  5.62166300
## 194 -0.165317718          5.50    0.402062436  6.99201735
## 195 -0.165317718          6.00    0.236744717  4.79577591
## 196  0.059258167          4.00   -0.070071088  2.16617463
## 197  0.059258167          4.50   -0.010812921  3.92492315
## 198  0.059258167          5.00    0.048445247  5.42633744
## 199  0.059258167          5.50    0.107703414  7.98990173
## 200  0.059258167          6.00    0.166961581  7.03688971
## 201 -0.515752797          4.75    1.017652451  5.74037775
## 202 -0.515752797          5.25    0.501899653  7.01016831
## 203 -0.515752797          5.75   -0.013853144  7.28287480
## 204 -0.515752797          6.25   -0.529605941  4.61344642
## 205 -0.515752797          6.75   -1.045358739  6.04756623
## 206  0.554176042          4.00   -0.928210944  4.41234265
## 207  0.554176042          4.50   -0.374034902  2.30086037
## 208  0.554176042          5.00    0.180141140  5.65312443
## 209  0.554176042          5.50    0.734317182  6.22275471
## 210  0.554176042          6.00    1.288493224  7.74442275
## 211  0.268917112          4.75    0.586258833  5.52011698
## 212  0.268917112          5.25    0.855175945  6.77458991
## 213  0.268917112          5.75    1.124093058  7.30904969
## 214  0.268917112          6.25    1.393010170  8.85208591
## 215  0.268917112          6.75    1.661927282  7.59972323
## 216  0.183859371          4.00    0.253098312  2.98125748
## 217  0.183859371          4.50    0.436957683  2.32296886
## 218  0.183859371          5.00    0.620817054  5.97104189
## 219  0.183859371          5.50    0.804676426  8.51655109
## 220  0.183859371          6.00    0.988535797  6.00873257
## 221 -0.732791118          4.75    0.528208831  5.99519437
## 222 -0.732791118          5.25   -0.204582287  5.73754504
## 223 -0.732791118          5.75   -0.937373405  4.72037815
## 224 -0.732791118          6.25   -1.670164523  4.67075890
## 225 -0.732791118          6.75   -2.402955640  3.85263406
## 226 -0.119380641          4.00   -0.255716227  2.96777209
## 227 -0.119380641          4.50   -0.375096868  4.55861514
## 228 -0.119380641          5.00   -0.494477510  6.50093655
## 229 -0.119380641          5.50   -0.613858151  4.28946465
## 230 -0.119380641          6.00   -0.733238792  2.09557521
## 231  0.189495549          4.00    0.433061711  5.32902688
## 232  0.189495549          4.50    0.622557260  4.53539035
## 233  0.189495549          5.00    0.812052809  4.68995548
## 234  0.189495549          5.50    1.001548357  6.48481880
## 235  0.189495549          6.00    1.191043906  7.76398193
## 236  0.128143173          4.75    0.540677626  5.98384379
## 237  0.128143173          5.25    0.668820799  5.07802243
## 238  0.128143173          5.75    0.796963972  5.22514984
## 239  0.128143173          6.25    0.925107145  8.48519023
## 240  0.128143173          6.75    1.053250319  8.15526366
## 241 -0.442042565          4.00   -0.219502721  3.96840546
## 242 -0.442042565          4.50   -0.661545286  2.90991581
## 243 -0.442042565          5.00   -1.103587851  4.24929467
## 244 -0.442042565          5.50   -1.545630415  3.19589827
## 245 -0.442042565          6.00   -1.987672980  3.89217394
## 246  0.762468602          4.75    1.348310100  6.75013613
## 247  0.762468602          5.25    2.110778702  8.03832479
## 248  0.762468602          5.75    2.873247304  9.22104798
## 249  0.762468602          6.25    3.635715906 11.64581319
## 250  0.762468602          6.75    4.398184508 10.36400252
## 251 -0.066794226          4.75    0.682281940  4.79259290
## 252 -0.066794226          5.25    0.615487714  7.63257661
## 253 -0.066794226          5.75    0.548693488  5.00268042
## 254 -0.066794226          6.25    0.481899262  8.36678437
## 255 -0.066794226          6.75    0.415105036  5.62720474
## 256 -0.314136092          4.00    0.302230398  4.35884432
## 257 -0.314136092          4.50   -0.011905694  4.13724955
## 258 -0.314136092          5.00   -0.326041786  5.52008811
## 259 -0.314136092          5.50   -0.640177877  5.36537627
## 260 -0.314136092          6.00   -0.954313969  5.05326480
## 261 -0.219172300          4.75   -0.117159969  5.04880850
## 262 -0.219172300          5.25   -0.336332268  4.62230890
## 263 -0.219172300          5.75   -0.555504568  5.87797396
## 264 -0.219172300          6.25   -0.774676868  5.86417679
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## 420  1.392312347          6.75    4.834277499 11.11065756
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## 547  0.843664617          5.25    0.892407206  6.17325645
## 548  0.843664617          5.75    1.736071823  6.45089129
## 549  0.843664617          6.25    2.579736440  9.17969698
## 550  0.843664617          6.75    3.423401057 10.79511849
## 551  0.278630400          4.75    0.114459095  4.97295916
## 552  0.278630400          5.25    0.393089495  6.34509911
## 553  0.278630400          5.75    0.671719895  6.82790757
## 554  0.278630400          6.25    0.950350295  6.34703731
## 555  0.278630400          6.75    1.228980695  7.94767957
## 556 -0.426088360          4.00   -0.099834443  4.42403226
## 557 -0.426088360          4.50   -0.525922803  3.63813879
## 558 -0.426088360          5.00   -0.952011163  3.96864989
## 559 -0.426088360          5.50   -1.378099523  3.68575569
## 560 -0.426088360          6.00   -1.804187883  4.55892547
## 561 -0.713344758          4.00   -0.175086887  3.34030374
## 562 -0.713344758          4.50   -0.888431645  4.26320012
## 563 -0.713344758          5.00   -1.601776403  3.56655210
## 564 -0.713344758          5.50   -2.315121161  3.34619121
## 565 -0.713344758          6.00   -3.028465919  3.23098987
## 566  0.752262678          4.00   -0.652675046  1.89080793
## 567  0.752262678          4.50    0.099587631  5.38860566
## 568  0.752262678          5.00    0.851850309  4.68924616
## 569  0.752262678          5.50    1.604112986  6.82483654
## 570  0.752262678          6.00    2.356375664  7.70093810
## 571 -0.919894262          4.00    0.385065732  6.86782010
## 572 -0.919894262          4.50   -0.534828529  4.96275249
## 573 -0.919894262          5.00   -1.454722791  3.42056745
## 574 -0.919894262          5.50   -2.374617053  1.08640613
## 575 -0.919894262          6.00   -3.294511315  3.72837378
## 576  0.315991234          4.00    0.449601830  3.32938211
## 577  0.315991234          4.50    0.765593064  4.83371681
## 578  0.315991234          5.00    1.081584298  5.14135920
## 579  0.315991234          5.50    1.397575531  7.95273428
## 580  0.315991234          6.00    1.713566765  7.22842030
## 581  0.214959171          4.75   -0.115273717  5.03213706
## 582  0.214959171          5.25    0.099685454  4.39999347
## 583  0.214959171          5.75    0.314644625  5.26373990
## 584  0.214959171          6.25    0.529603796  7.51718433
## 585  0.214959171          6.75    0.744562967  6.61057717
## 586  0.327062111          4.75   -0.781794499  3.04870560
## 587  0.327062111          5.25   -0.454732388  5.87692712
## 588  0.327062111          5.75   -0.127670276  5.06433274
## 589  0.327062111          6.25    0.199391835  7.99116658
## 590  0.327062111          6.75    0.526453946  8.52397920
## 591 -0.453684663          4.00    0.446962246  5.24766724
## 592 -0.453684663          4.50   -0.006722417  3.78481085
## 593 -0.453684663          5.00   -0.460407080  3.70596166
## 594 -0.453684663          5.50   -0.914091743  5.15542871
## 595 -0.453684663          6.00   -1.367776406  5.06328363
## 596 -0.066337578          4.00    0.432737120  4.96563266
## 597 -0.066337578          4.50    0.366399541  6.41928537
## 598 -0.066337578          5.00    0.300061963  4.12828952
## 599 -0.066337578          5.50    0.233724385  5.09124489
## 600 -0.066337578          6.00    0.167386807  6.31901389
## 601  0.685365494          4.00   -0.069472550  5.29691863
## 602  0.685365494          4.50    0.615892944  5.74172149
## 603  0.685365494          5.00    1.301258438  6.52810849
## 604  0.685365494          5.50    1.986623932  6.92026168
## 605  0.685365494          6.00    2.671989426  7.89454460
## 606  0.113442139          4.75    0.317935881  6.03411841
## 607  0.113442139          5.25    0.431378019  6.15936743
## 608  0.113442139          5.75    0.544820158  6.24294182
## 609  0.113442139          6.25    0.658262296  7.91897307
## 610  0.113442139          6.75    0.771704435  7.65127301
## 611  0.566871833          4.75    0.388227100  5.08420706
## 612  0.566871833          5.25    0.955098932  7.31116190
## 613  0.566871833          5.75    1.521970765  6.73349479
## 614  0.566871833          6.25    2.088842598  7.42397355
## 615  0.566871833          6.75    2.655714431 10.01830160
## 616 -0.487409887          4.75   -0.030974029  4.53399943
## 617 -0.487409887          5.25   -0.518383917  2.75987175
## 618 -0.487409887          5.75   -1.005793804  4.85115286
## 619 -0.487409887          6.25   -1.493203692  5.40835630
## 620 -0.487409887          6.75   -1.980613579  4.77490167
## 621  0.232840917          4.75    0.798469903  5.91156876
## 622  0.232840917          5.25    1.031310820  6.78445953
## 623  0.232840917          5.75    1.264151737  7.78196201
## 624  0.232840917          6.25    1.496992654  7.56029999
## 625  0.232840917          6.75    1.729833571  9.01374077
## 626  0.256543527          4.00    0.256664138  2.16495209
## 627  0.256543527          4.50    0.513207665  5.27986356
## 628  0.256543527          5.00    0.769751192  6.57020407
## 629  0.256543527          5.50    1.026294719  6.76151391
## 630  0.256543527          6.00    1.282838246  6.67734736
## 631  0.021585750          4.75    0.290003080  2.76528606
## 632  0.021585750          5.25    0.311588830  5.77747149
## 633  0.021585750          5.75    0.333174580  6.94039976
## 634  0.021585750          6.25    0.354760330  6.74220257
## 635  0.021585750          6.75    0.376346080  5.85060153
## 636 -0.319050097          4.00   -0.749602715  4.56773345
## 637 -0.319050097          4.50   -1.068652812  3.27182886
## 638 -0.319050097          5.00   -1.387702909  3.43872067
## 639 -0.319050097          5.50   -1.706753006  4.29714937
## 640 -0.319050097          6.00   -2.025803104  3.33902408
## 641  1.008971526          4.75    0.038973804  5.75374436
## 642  1.008971526          5.25    1.047945330  5.38105463
## 643  1.008971526          5.75    2.056916856  7.84060436
## 644  1.008971526          6.25    3.065888382  9.85889087
## 645  1.008971526          6.75    4.074859908 11.23883814
## 646 -0.237854525          4.00    0.789957138  4.77532231
## 647 -0.237854525          4.50    0.552102613  5.38923526
## 648 -0.237854525          5.00    0.314248088  4.66999382
## 649 -0.237854525          5.50    0.076393563  5.31888445
## 650 -0.237854525          6.00   -0.161460962  7.24270516
## 651  0.683065941          4.00    0.958958524  4.85107649
## 652  0.683065941          4.50    1.642024465  7.06364772
## 653  0.683065941          5.00    2.325090407  6.70212856
## 654  0.683065941          5.50    3.008156348  9.40568907
## 655  0.683065941          6.00    3.691222289 11.22524401
## 656  0.444395715          4.00    0.097733463  4.69496491
## 657  0.444395715          4.50    0.542129178  6.07510479
## 658  0.444395715          5.00    0.986524893  6.07502613
## 659  0.444395715          5.50    1.430920608  6.13928013
## 660  0.444395715          6.00    1.875316323  8.33612885
## 661  0.157441907          4.00    0.196247483  2.36712413
## 662  0.157441907          4.50    0.353689391  5.87512217
## 663  0.157441907          5.00    0.511131298  4.74761168
## 664  0.157441907          5.50    0.668573205  6.20360949
## 665  0.157441907          6.00    0.826015112  7.13615854
## 666 -0.160128288          4.00   -0.131824601  3.62222934
## 667 -0.160128288          4.50   -0.291952890  4.75325895
## 668 -0.160128288          5.00   -0.452081178  4.69180134
## 669 -0.160128288          5.50   -0.612209466  5.19028446
## 670 -0.160128288          6.00   -0.772337754  3.95222330
## 671  0.174913343          4.00   -0.278639357  1.90936758
## 672  0.174913343          4.50   -0.103726014  3.22807913
## 673  0.174913343          5.00    0.071187329  4.52187904
## 674  0.174913343          5.50    0.246100673  5.40096033
## 675  0.174913343          6.00    0.421014016  5.76886000
## 676  0.309973458          4.00   -0.072140456  4.09387190
## 677  0.309973458          4.50    0.237833002  7.05018778
## 678  0.309973458          5.00    0.547806460  5.24988602
## 679  0.309973458          5.50    0.857779918  5.88869780
## 680  0.309973458          6.00    1.167753377  7.71545494
## 681 -0.462176108          4.00    0.208055009  3.57895182
## 682 -0.462176108          4.50   -0.254121099  5.14896584
## 683 -0.462176108          5.00   -0.716297207  5.10047514
## 684 -0.462176108          5.50   -1.178473315  2.27032129
## 685 -0.462176108          6.00   -1.640649423  4.95693465
## 686 -0.515282769          4.00    0.990139371  6.46683136
## 687 -0.515282769          4.50    0.474856603  5.28196985
## 688 -0.515282769          5.00   -0.040426166  4.40135246
## 689 -0.515282769          5.50   -0.555708935  3.98324275
## 690 -0.515282769          6.00   -1.070991704  5.65871336
## 691 -0.905984514          4.75    0.123690550  6.48340269
## 692 -0.905984514          5.25   -0.782293964  3.54796144
## 693 -0.905984514          5.75   -1.688278478  2.91353046
## 694 -0.905984514          6.25   -2.594262991  3.09693612
## 695 -0.905984514          6.75   -3.500247505  5.57835719
## 696  0.785822463          4.00    0.283890033  4.47555574
## 697  0.785822463          4.50    1.069712496  3.94742622
## 698  0.785822463          5.00    1.855534959  5.35968977
## 699  0.785822463          5.50    2.641357421  9.00442495
## 700  0.785822463          6.00    3.427179884  8.06365725
## 701 -0.475741501          4.75    0.006628693  4.60020517
## 702 -0.475741501          5.25   -0.469112808  5.51515779
## 703 -0.475741501          5.75   -0.944854309  3.51283058
## 704 -0.475741501          6.25   -1.420595810  5.76903714
## 705 -0.475741501          6.75   -1.896337310  3.78443122
## 706 -0.620499354          4.75   -0.317602325  4.17448978
## 707 -0.620499354          5.25   -0.938101679  3.58679240
## 708 -0.620499354          5.75   -1.558601033  3.68411437
## 709 -0.620499354          6.25   -2.179100386  3.40024747
## 710 -0.620499354          6.75   -2.799599740  4.29109997
## 711 -0.130978149          4.75   -0.319195801  4.52752772
## 712 -0.130978149          5.25   -0.450173951  6.04306309
## 713 -0.130978149          5.75   -0.581152100  5.73300673
## 714 -0.130978149          6.25   -0.712130249  7.05964406
## 715 -0.130978149          6.75   -0.843108399  4.90795592
## 716 -0.397026919          4.75    1.412440833  3.17910613
## 717 -0.397026919          5.25    1.015413914  7.05843852
## 718 -0.397026919          5.75    0.618386995  5.75070570
## 719 -0.397026919          6.25    0.221360076  6.86676470
## 720 -0.397026919          6.75   -0.175666844  8.70852067
## 721  0.742570148          4.00   -0.068650326  3.93912008
## 722  0.742570148          4.50    0.673919821  6.25359445
## 723  0.742570148          5.00    1.416489969  6.37816082
## 724  0.742570148          5.50    2.159060117  9.78529223
## 725  0.742570148          6.00    2.901630264  9.63424638
## 726  0.746870655          4.75    0.940543259  5.36280496
## 727  0.746870655          5.25    1.687413914  6.36633214
## 728  0.746870655          5.75    2.434284570  7.97216470
## 729  0.746870655          6.25    3.181155225  8.23213956
## 730  0.746870655          6.75    3.928025880  9.94327460
## 731  0.655584855          4.00   -0.221800836  2.11356695
## 732  0.655584855          4.50    0.433784018  3.82341221
## 733  0.655584855          5.00    1.089368873  6.33712499
## 734  0.655584855          5.50    1.744953728  5.77702281
## 735  0.655584855          6.00    2.400538582  7.67972967
## 736  0.104860253          4.00    0.228126114  5.67637853
## 737  0.104860253          4.50    0.332986367  5.67519633
## 738  0.104860253          5.00    0.437846620  6.33931004
## 739  0.104860253          5.50    0.542706873  4.19728218
## 740  0.104860253          6.00    0.647567126  7.80587960
## 741 -1.351895272          4.00    0.079788977  3.93220740
## 742 -1.351895272          4.50   -1.272106295  3.87444568
## 743 -1.351895272          5.00   -2.624001567  2.19760879
## 744 -1.351895272          5.50   -3.975896839  1.79222439
## 745 -1.351895272          6.00   -5.327792110 -0.07891542
## 746  0.017455913          4.75    0.402520147  5.24418909
## 747  0.017455913          5.25    0.419976060  6.65199455
## 748  0.017455913          5.75    0.437431972  8.63975651
## 749  0.017455913          6.25    0.454887885  5.73022632
## 750  0.017455913          6.75    0.472343797  7.09163450
## 751  0.190524756          4.00    0.046580691  4.13571845
## 752  0.190524756          4.50    0.237105447  3.72096286
## 753  0.190524756          5.00    0.427630203  6.80091035
## 754  0.190524756          5.50    0.618154959  8.70342246
## 755  0.190524756          6.00    0.808679714  7.59082754
## 756  0.296937461          4.00   -0.047828256  4.31095738
## 757  0.296937461          4.50    0.249109205  6.64729019
## 758  0.296937461          5.00    0.546046666  7.02800241
## 759  0.296937461          5.50    0.842984127  6.01822423
## 760  0.296937461          6.00    1.139921588  6.12888133
## 761 -0.424648488          4.75   -0.782022515  4.37966393
## 762 -0.424648488          5.25   -1.206671002  3.67527477
## 763 -0.424648488          5.75   -1.631319490  2.20444243
## 764 -0.424648488          6.25   -2.055967977  4.89170236
## 765 -0.424648488          6.75   -2.480616465  5.32093099
## 766  0.909015255          4.75   -0.519277059  4.65941443
## 767  0.909015255          5.25    0.389738196  4.17714981
## 768  0.909015255          5.75    1.298753451  7.16131021
## 769  0.909015255          6.25    2.207768705  9.23190926
## 770  0.909015255          6.75    3.116783960  9.96896718
## 771 -0.109880723          4.00    0.184788656  3.01417957
## 772 -0.109880723          4.50    0.074907932  5.15487641
## 773 -0.109880723          5.00   -0.034972791  5.22075929
## 774 -0.109880723          5.50   -0.144853515  3.26639392
## 775 -0.109880723          6.00   -0.254734238  7.39409810
## 776 -0.513257849          4.75   -0.393826919  4.29461204
## 777 -0.513257849          5.25   -0.907084768  2.13886675
## 778 -0.513257849          5.75   -1.420342617  4.30555841
## 779 -0.513257849          6.25   -1.933600465  5.83479766
## 780 -0.513257849          6.75   -2.446858314  2.68206035
## 781 -0.053201104          4.00   -0.412985327  2.59589920
## 782 -0.053201104          4.50   -0.466186431  2.31897620
## 783 -0.053201104          5.00   -0.519387534  4.64611014
## 784 -0.053201104          5.50   -0.572588638  4.95155039
## 785 -0.053201104          6.00   -0.625789742  6.20846214
## 786  0.575439393          4.00    0.301410525  3.09810303
## 787  0.575439393          4.50    0.876849919  6.38062570
## 788  0.575439393          5.00    1.452289312  5.64697787
## 789  0.575439393          5.50    2.027728705  9.31821482
## 790  0.575439393          6.00    2.603168099  8.82313317
## 791  0.300241814          4.75    0.499554537  4.34806672
## 792  0.300241814          5.25    0.799796351  6.02069932
## 793  0.300241814          5.75    1.100038164  5.61199716
## 794  0.300241814          6.25    1.400279978  6.56491768
## 795  0.300241814          6.75    1.700521791  5.84065961
## 796  0.223081921          4.75    0.597242989  3.70771387
## 797  0.223081921          5.25    0.820324909  5.47946916
## 798  0.223081921          5.75    1.043406830  7.21763605
## 799  0.223081921          6.25    1.266488750  9.68900013
## 800  0.223081921          6.75    1.489570671  7.87300248
## 801  0.106974368          4.75    0.469401023  5.33100901
## 802  0.106974368          5.25    0.576375391  5.58526317
## 803  0.106974368          5.75    0.683349759  6.09313505
## 804  0.106974368          6.25    0.790324127  8.49770769
## 805  0.106974368          6.75    0.897298495  5.76436341
## 806  0.162881863          4.00    0.469654045  6.28274510
## 807  0.162881863          4.50    0.632535908  4.27728072
## 808  0.162881863          5.00    0.795417772  4.06420490
## 809  0.162881863          5.50    0.958299635  7.12194176
## 810  0.162881863          6.00    1.121181499  5.58461036
## 811 -0.266032240          4.75   -0.242914359  3.47131446
## 812 -0.266032240          5.25   -0.508946598  5.07426141
## 813 -0.266032240          5.75   -0.774978838  5.02605129
## 814 -0.266032240          6.25   -1.041011078  5.30812225
## 815 -0.266032240          6.75   -1.307043317  4.35693069
## 816 -0.303819516          4.75   -0.755618814  5.12459215
## 817 -0.303819516          5.25   -1.059438330  6.46985559
## 818 -0.303819516          5.75   -1.363257846  5.59837722
## 819 -0.303819516          6.25   -1.667077362  7.35290997
## 820 -0.303819516          6.75   -1.970896877  6.00483206
## 821  0.369866304          4.00    0.035326056  5.23792543
## 822  0.369866304          4.50    0.405192361  7.03751299
## 823  0.369866304          5.00    0.775058665  5.10236508
## 824  0.369866304          5.50    1.144924969  7.24038499
## 825  0.369866304          6.00    1.514791274  8.25549943
## 826 -0.440580285          4.00    0.049958964  3.19121276
## 827 -0.440580285          4.50   -0.390621321  3.34489152
## 828 -0.440580285          5.00   -0.831201606  5.64378857
## 829 -0.440580285          5.50   -1.271781892  2.87594522
## 830 -0.440580285          6.00   -1.712362177  5.13419059
## 831 -0.280831724          4.00    0.368139915  4.65933016
## 832 -0.280831724          4.50    0.087308190  4.15798735
## 833 -0.280831724          5.00   -0.193523534  5.54746331
## 834 -0.280831724          5.50   -0.474355258  5.70046444
## 835 -0.280831724          6.00   -0.755186983  5.96386278
## 836  0.120746291          4.00    0.429660007  4.71924685
## 837  0.120746291          4.50    0.550406298  5.78307047
## 838  0.120746291          5.00    0.671152590  5.27680819
## 839  0.120746291          5.50    0.791898881  5.41880593
## 840  0.120746291          6.00    0.912645172  7.03773099
## 841  0.081566302          4.75   -0.100445512  5.00913488
## 842  0.081566302          5.25   -0.018879210  5.51796697
## 843  0.081566302          5.75    0.062687092  6.13467203
## 844  0.081566302          6.25    0.144253395  6.85287595
## 845  0.081566302          6.75    0.225819697  6.83811145
## 846 -0.033283404          4.00    0.517803772  4.71804372
## 847 -0.033283404          4.50    0.484520368  5.71872331
## 848 -0.033283404          5.00    0.451236964  6.12963276
## 849 -0.033283404          5.50    0.417953560  5.61546797
## 850 -0.033283404          6.00    0.384670156  8.32075693
## 851  0.318409831          4.75    0.979500089  4.98666809
## 852  0.318409831          5.25    1.297909920  8.65380417
## 853  0.318409831          5.75    1.616319751  5.89854948
## 854  0.318409831          6.25    1.934729582  8.58610063
## 855  0.318409831          6.75    2.253139413  9.36744600
## 856  0.043836855          4.75    0.459741734  4.89331317
## 857  0.043836855          5.25    0.503578589  4.50160585
## 858  0.043836855          5.75    0.547415444  6.70644739
## 859  0.043836855          6.25    0.591252299  5.40166108
## 860  0.043836855          6.75    0.635089154  7.16780693
## 861  0.302009714          4.00    0.191953007  4.89980912
## 862  0.302009714          4.50    0.493962721  4.73514577
## 863  0.302009714          5.00    0.795972435  6.36484944
## 864  0.302009714          5.50    1.097982148  7.32579275
## 865  0.302009714          6.00    1.399991862  7.61526945
## 866  0.029962574          4.75    0.585338919  4.20962676
## 867  0.029962574          5.25    0.615301493  5.92703089
## 868  0.029962574          5.75    0.645264067  8.20056090
## 869  0.029962574          6.25    0.675226641  7.01112021
## 870  0.029962574          6.75    0.705189215  9.27388946
## 871 -0.031953311          4.75    0.241595849  5.36042691
## 872 -0.031953311          5.25    0.209642538  6.33598860
## 873 -0.031953311          5.75    0.177689227  8.76062764
## 874 -0.031953311          6.25    0.145735916  4.95225303
## 875 -0.031953311          6.75    0.113782605  6.42653525
## 876 -0.032292907          4.75   -1.000036349  4.86968289
## 877 -0.032292907          5.25   -1.032329256  5.45457093
## 878 -0.032292907          5.75   -1.064622163  5.56440510
## 879 -0.032292907          6.25   -1.096915070  6.60461734
## 880 -0.032292907          6.75   -1.129207977  5.23863081
## 881 -0.167596018          4.00   -0.171377542  5.16553765
## 882 -0.167596018          4.50   -0.338973560  3.24749774
## 883 -0.167596018          5.00   -0.506569578  3.47880102
## 884 -0.167596018          5.50   -0.674165597  3.83934415
## 885 -0.167596018          6.00   -0.841761615  4.03491795
## 886 -0.065323659          4.75    0.445794271  6.07838142
## 887 -0.065323659          5.25    0.380470613  6.07167797
## 888 -0.065323659          5.75    0.315146954  4.11707105
## 889 -0.065323659          6.25    0.249823296  7.72144549
## 890 -0.065323659          6.75    0.184499637  6.42460603
## 891 -0.535998770          4.00   -0.428403006  3.89575745
## 892 -0.535998770          4.50   -0.964401776  3.26982700
## 893 -0.535998770          5.00   -1.500400546  3.91468471
## 894 -0.535998770          5.50   -2.036399316  4.41823517
## 895 -0.535998770          6.00   -2.572398087  5.05372702
## 896 -0.421322464          4.00    0.034357819  4.69381741
## 897 -0.421322464          4.50   -0.386964645  4.56231109
## 898 -0.421322464          5.00   -0.808287109  4.75134741
## 899 -0.421322464          5.50   -1.229609573  3.29044730
## 900 -0.421322464          6.00   -1.650932037  4.72870340

Simulation Argument Details for `simglm`

2020-06-12

Fixed Arguments

Time Variable

Continuous Variable

Ordinal Variable

Factor Variable

Knot Variable

Random Error Arguments

Optional Arguments for Random Error

Heterogeneity of Variance

Random Effect Arguments

Cross-Classified Random Effects

Missing Data Arguments

Random Missing Data

MAR Missing Data

Dropout Missing Data

Specify location of dropout

Model Fit Arguments

Changing Family Argument

Adding Serial Correlation

Marginal Models

Power Arguments

Vary Simulation Arguments

Varying Arguments to Compute Power

Simulation Argument Details for simglm

2020-06-12

Fixed Arguments

Time Variable

Continuous Variable

Ordinal Variable

Factor Variable

Knot Variable

Random Error Arguments

Optional Arguments for Random Error

Heterogeneity of Variance

Random Effect Arguments

Cross-Classified Random Effects

Missing Data Arguments

Random Missing Data

MAR Missing Data

Dropout Missing Data

Specify location of dropout

Model Fit Arguments

Changing Family Argument

Adding Serial Correlation

Marginal Models

Power Arguments

Vary Simulation Arguments

Varying Arguments to Compute Power

Simulation Argument Details for `simglm`