# Psychometric Meta-Analysis Toolkit

## Documentation for package ‘psychmeta’ version 2.4.0

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A C D E F G H L M P R S T U V W misc

psychmeta-package | 'psychmeta': Psychometric meta-analysis toolkit

## -- A --

adjust_n_d | Adjusted sample size for a non-Cohen _d_ value for use in a meta-analysis of Cohen's _d_ values
adjust_n_r | Adjusted sample size for a non-Pearson correlation coefficient for use in a meta-analysis of Pearson correlations
anova.ma_psychmeta | Wald-type tests for moderators in psychmeta meta-analyses

## -- C --

composite_d_matrix | Matrix formula to estimate the standardized mean difference associated with a weighted or unweighted composite variable
composite_d_scalar | Scalar formula to estimate the standardized mean difference associated with a composite variable
composite_rel_matrix | Matrix formula to estimate the reliability of a weighted or unweighted composite variable
composite_rel_scalar | Scalar formula to estimate the reliability of a composite variable
composite_r_matrix | Matrix formula to estimate the correlation between two weighted or unweighted composite variables
composite_r_scalar | Scalar formula to estimate the correlation between a composite and another variable or between two composite variables
composite_u_matrix | Matrix formula to estimate the u ratio of a composite variable
composite_u_scalar | Scalar formula to estimate the u ratio of a composite variable
compute_alpha | Compute coefficient alpha
compute_dmod | Comprehensive d_Mod calculator
compute_dmod_npar | Function for computing non-parametric d_Mod effect sizes for a single focal group
compute_dmod_par | Function for computing parametric d_Mod effect sizes for any number of focal groups
conf.limits.nc.chisq | Confidence limits for noncentral chi square parameters (function and documentation from package 'MBESS' version 4.4.3) Function to determine the noncentral parameter that leads to the observed 'Chi.Square'-value, so that a confidence interval for the population noncentral chi-squrae value can be formed.
confidence | Construct a confidence interval
confidence_r | Construct a confidence interval for correlations using Fisher's z transformation
confint | Confidence interval method for objects of classes deriving from "lm_mat"
control_intercor | Control function to curate intercorrelations to be used in automatic compositing routine
control_psychmeta | Control for 'psychmeta' meta-analyses
convert_es | Convert effect sizes
convert_ma | Function to convert meta-analysis of correlations to d values or vice-versa
convert_meta | Function to convert meta-analysis of correlations to d values or vice-versa
correct_d | Correct _d_ values for measurement error and/or range restriction
correct_d_bias | Correct for small-sample bias in Cohen's _d_ values
correct_glass_bias | Correct for small-sample bias in Glass' delta values
correct_matrix_mvrr | Multivariate select/correction for covariance matrices
correct_means_mvrr | Multivariate select/correction for vectors of means
correct_r | Correct correlations for range restriction and/or measurement error
correct_r_bias | Correct correlations for small-sample bias
correct_r_coarseness | Correct correlations for scale coarseness
correct_r_dich | Correct correlations for artificial dichotomization of one or both variables
correct_r_split | Correct correlations for uneven/unrepresentative splits
create_ad | Generate an artifact distribution object for use in artifact-distribution meta-analysis programs.
create_ad_group | Generate an artifact distribution object for a dichotomous grouping variable.
create_ad_list | Create a tibble of artifact distributions by construct
create_ad_tibble | Create a tibble of artifact distributions by construct
credibility | Construct a credibility interval

## -- D --

data_d_bb_multi | Hypothetical _d_ value dataset simulated with sampling error only
data_d_meas_multi | Hypothetical _d_ value dataset simulated to satisfy the assumptions of the correction for measurement error only in multiple constructs
data_r_bvdrr | Hypothetical dataset simulated to satisfy the assumptions of the bivariate correction for direct range restriction
data_r_bvirr | Hypothetical dataset simulated to satisfy the assumptions of the bivariate correction for indirect range restriction
data_r_gonzalezmule_2014 | Meta-analysis of OCB correlations with other constructs
data_r_mcdaniel_1994 | Artifact-distribution meta-analysis of the validity of interviews
data_r_mcleod_2007 | Bare-bones meta-analysis of parenting and childhood depression
data_r_meas | Hypothetical dataset simulated to satisfy the assumptions of the correction for measurement error only
data_r_meas_multi | Hypothetical correlation dataset simulated to satisfy the assumptions of the correction for measurement error only in multiple constructs
data_r_oh_2009 | Second order meta-analysis of operational validities of big five personality measures across East Asian countries
data_r_roth_2015 | Artifact-distribution meta-analysis of the correlation between school grades and cognitive ability
data_r_uvdrr | Hypothetical dataset simulated to satisfy the assumptions of the univariate correction for direct range restriction
data_r_uvirr | Hypothetical dataset simulated to satisfy the assumptions of the univariate correction for indirect range restriction

## -- E --

estimate_artifacts | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_cor_prods | Estimation of statistics computed from products of random, normal variables
estimate_cov_prods | Estimation of statistics computed from products of random, normal variables
estimate_length_sb | Inverse Spearman-Brown formula to estimate the amount by which a measure would have to be lengthened or shorted to achieve a desired level of reliability
estimate_mean_prod | Estimation of statistics computed from products of random, normal variables
estimate_prod | Estimation of statistics computed from products of random, normal variables
estimate_q_dist | Estimate descriptive statistics of square-root reliabilities
estimate_rel_dist | Estimate descriptive statistics of reliabilities
estimate_rel_sb | Spearman-Brown prophecy formula to estimate the reliability of a lengthened measure
estimate_rxxa | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_rxxa_u | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_rxxi | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_rxxi_u | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_ryya | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_ryyi | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_u | Estimate u ratios from available artifact information
estimate_up | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_ut | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_ux | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_uy | Estimation of applicant and incumbent reliabilities and of true- and observed-score u ratios
estimate_var_artifacts | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_prod | Estimation of statistics computed from products of random, normal variables
estimate_var_qxa | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_qxi | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_qya | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_qyi | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_rho_int | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_int_bvdrr | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_int_bvirr | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_int_meas | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_int_rb | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_int_uvdrr | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_int_uvirr | Non-linear estimate of variance of rho corrected for psychometric artifacts using numeric integration
estimate_var_rho_tsa | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_bvdrr | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_bvirr | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_meas | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_rb1 | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_rb2 | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_uvdrr | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rho_tsa_uvirr | Taylor Series Approximation of variance of rho corrected for psychometric artifacts
estimate_var_rxxa | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_rxxi | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_ryya | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_ryyi | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_tsa | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_bvdrr | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_bvirr | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_meas | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_rb1 | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_rb2 | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_uvdrr | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_tsa_uvirr | Taylor Series Approximation of effect-size variances corrected for psychometric artifacts
estimate_var_ut | Taylor series approximations for the variances of estimates artifact distributions.
estimate_var_ux | Taylor series approximations for the variances of estimates artifact distributions.

## -- F --

filter_ma | Filter meta-analyses
filter_meta | Filter meta-analyses
format_num | Format numbers for presentation

## -- G --

generate_bib | Generate a list of references included in meta-analyses
generate_directory | Generate a system of folders from a file path to a new directory
get_ad | Extract results from a psychmeta meta-analysis object
get_bootstrap | Extract results from a psychmeta meta-analysis object
get_cumulative | Extract results from a psychmeta meta-analysis object
get_escalc | Extract results from a psychmeta meta-analysis object
get_followup | Extract results from a psychmeta meta-analysis object
get_heterogeneity | Extract results from a psychmeta meta-analysis object
get_leave1out | Extract results from a psychmeta meta-analysis object
get_matrix | Extract results from a psychmeta meta-analysis object
get_metafor | Extract results from a psychmeta meta-analysis object
get_metareg | Extract results from a psychmeta meta-analysis object
get_metatab | Extract results from a psychmeta meta-analysis object
get_plots | Extract results from a psychmeta meta-analysis object
get_stuff | Extract results from a psychmeta meta-analysis object

## -- H --

heterogeneity | Supplemental heterogeneity statistics for meta-analyses

## -- L --

limits_tau | Confidence limits of tau
limits_tau2 | Confidence limits of tau-squared
lm_mat | Compute linear regression models and generate "lm" objects from covariance matrices.
lm_matrix | Compute linear regression models and generate "lm" objects from covariance matrices.

## -- M --

matreg | Compute linear regression models and generate "lm" objects from covariance matrices.
matrixreg | Compute linear regression models and generate "lm" objects from covariance matrices.
ma_d | Meta-analysis of _d_ values
ma_d_ad | Meta-analysis of _d_ values
ma_d_barebones | Meta-analysis of _d_ values
ma_d_bb | Meta-analysis of _d_ values
ma_d_ic | Meta-analysis of _d_ values
ma_d_order2 | Second-order meta-analysis function for _d_ values
ma_generic | Bare-bones meta-analysis of generic effect sizes
ma_r | Meta-analysis of correlations
ma_r_ad | Meta-analysis of correlations
ma_r_barebones | Meta-analysis of correlations
ma_r_bb | Meta-analysis of correlations
ma_r_ic | Meta-analysis of correlations
ma_r_order2 | Second-order meta-analysis function for correlations
merge_simdat_d | Merge multiple "simdat_d_database" class objects
merge_simdat_r | Merge multiple "simdat_r_database" class objects
metabulate | Write a summary table of meta-analytic results
metabulate_rmd_helper | Add metabulate equation commands and LaTeX dependencies
metareg | Compute meta-regressions
mix_dist | Descriptive statistics for a mixture distribution
mix_matrix | Estimate mixture covariance matrix from within-group covariance matrices
mix_r_2group | Estimate the mixture correlation for two groups

## -- P --

plot_cefp | Create funnel plots
plot_forest | Create forest plots
plot_funnel | Create funnel plots
predict | Prediction method for objects of classes deriving from "lm_mat"
print | Print methods for *'psychmeta'*
psychmeta | 'psychmeta': Psychometric meta-analysis toolkit
psychmeta_news | Retrieve the NEWS file for the psychmeta package

## -- R --

reattribute | Copy class and attributes from the original version of an object to a modified version.
reshape_mat2dat | Extract a long-format correlation database from a correlation matrix and its supporting vectors/matrices of variable information
reshape_vec2mat | Assemble a variance-covariance matrix
reshape_wide2long | Reshape database from wide format to long format

## -- S --

sensitivity | Sensitivity analyses for meta-analyses
sensitivity_bootstrap | Sensitivity analyses for meta-analyses
sensitivity_cumulative | Sensitivity analyses for meta-analyses
sensitivity_leave1out | Sensitivity analyses for meta-analyses
simulate_alpha | Generate a vector of simulated sample alpha coefficients
simulate_d_database | Simulate d value databases of primary studies
simulate_d_sample | Simulate a sample of psychometric d value data with measurement error, direct range restriction, and/or indirect range restriction
simulate_matrix | Generate a list of simulated sample matrices sampled from the Wishart distribution
simulate_psych | Simulate Monte Carlo psychometric data (observed, true, and error scores)
simulate_r_database | Simulate correlation databases of primary studies
simulate_r_sample | Simulation of data with measurement error and range-restriction artifacts
sparsify_simdat_d | Create sparse artifact information in a "simdat_d_database" class object
sparsify_simdat_r | Create sparse artifact information in a "simdat_r_database" class object
summary | Summary methods for 'psychmeta'

## -- T --

truncate_dist | Truncation function for normal distributions (truncates both mean and variance)
truncate_mean | Truncation function for means
truncate_var | Truncation function for variances

## -- U --

unmix_matrix | Estimate average within-group covariance matrices from a mixture covariance matrix
unmix_r_2group | Estimate the average within-group correlation from a mixture correlation for two groups

## -- V --

var_error_A | Estimate the error variance of the probability-based effect size (A, AUC, the common language effect size [CLES])
var_error_alpha | Analytic estimate of the sampling variance of alpha
var_error_auc | Estimate the error variance of the probability-based effect size (A, AUC, the common language effect size [CLES])
var_error_cles | Estimate the error variance of the probability-based effect size (A, AUC, the common language effect size [CLES])
var_error_d | Estimate the error variance Cohen's d values
var_error_delta | Estimate the error variance of Glass' delta values
var_error_g | Estimate the error variance Hedges's g values
var_error_mult_R | Estimate the error variance of multiple correlations and squared multiple correlations for linear regressions
var_error_mult_Rsq | Estimate the error variance of multiple correlations and squared multiple correlations for linear regressions
var_error_q | Estimate the error variance of square roots of reliability estimates
var_error_R | Estimate the error variance of multiple correlations and squared multiple correlations for linear regressions
var_error_r | Estimate the error variance of correlations
var_error_rel | Estimate the error variance of reliability estimates
var_error_Rsq | Estimate the error variance of multiple correlations and squared multiple correlations for linear regressions
var_error_r_bvirr | Taylor series approximation of the sampling variance of correlations corrected using the bivariate indirect range restriction correction (Case V)
var_error_u | Estimate the error variance of u ratios

## -- W --

wt_cor | Compute weighted covariances
wt_cov | Compute weighted covariances
wt_dist | Weighted descriptive statistics for a vector of numbers
wt_mean | Weighted descriptive statistics for a vector of numbers
wt_var | Weighted descriptive statistics for a vector of numbers

## -- misc --

.ma_r_order2 | Internal function for computing individual-correction meta-analyses of correlations
.tau_squared_m_solver | tau_m_squared Solver
.tau_squared_r_solver | tau_r_squared Solver