# Basic Robust Statistics

## Documentation for package ‘robustbase’ version 0.93-6

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Code demos. Use demo() to run them.
- Package NEWS.

## Help Pages

A B C D E F G H K L M N O P Q R S T V W misc

## -- A --

adjbox | Plot an Adjusted Boxplot for Skew Distributions
adjbox.default | Plot an Adjusted Boxplot for Skew Distributions
adjbox.formula | Plot an Adjusted Boxplot for Skew Distributions
adjboxStats | Statistics for Skewness-adjusted Boxplots
adjOutlyingness | Compute (Skewness-adjusted) Multivariate Outlyingness
aircraft | Aircraft Data
airmay | Air Quality Data
alcohol | Alcohol Solubility in Water Data
ambientNOxCH | Daily Means of NOx (mono-nitrogen oxides) in air
Animals2 | Brain and Body Weights for 65 Species of Land Animals
anova.glmrob | Analysis of Robust Quasi-Deviance for "glmrob" Objects
anova.lmrob | Analysis of Robust Deviances ('anova') for "lmrob" Objects

## -- B --

biomassTill | Biomass Tillage Data
bushfire | Campbell Bushfire Data
BYlogreg | Bianco-Yohai Estimator for Robust Logistic Regression

## -- C --

carrots | Insect Damages on Carrots
chgDefaults | Change Defaults (Parameters) of "Psi Function" Objects
chgDefaults-method | Change Defaults (Parameters) of "Psi Function" Objects
chgDefaults-methods | Change Defaults (Parameters) of "Psi Function" Objects
classPC | Compute Classical Principal Components via SVD or Eigen
cloud | Cloud point of a Liquid
coleman | Coleman Data Set
colMedians | Fast Row or Column-wise Medians of a Matrix
COM | Co-Median Location and Scatter "Covariance" Estimator
comedian | Co-Median Location and Scatter "Covariance" Estimator
condroz | Condroz Data
covComed | Co-Median Location and Scatter "Covariance" Estimator
covGK | Orthogonalized Gnanadesikan-Kettenring (OGK) Covariance Matrix Estimation
covMcd | Robust Location and Scatter Estimation via MCD
covOGK | Orthogonalized Gnanadesikan-Kettenring (OGK) Covariance Matrix Estimation
covPlot | Robust Distance Plots
CrohnD | Crohn's Disease Adverse Events Data
cushny | Cushny and Peebles Prolongation of Sleep Data

## -- D --

delivery | Delivery Time Data

## -- E --

education | Education Expenditure Data
epilepsy | Epilepsy Attacks Data Set
estimethod | Extract the Estimation Method 'Estimethod' from a Fitted Model
exAM | Example Data of Antille and May - for Simple Regression

## -- F --

fitted.nlrob | Robust Fitting of Nonlinear Regression Models
foodstamp | Food Stamp Program Participation
fullRank | Remove Columns (or Rows) From a Matrix to Make It Full Rank
functionX-class | Class "functionX" of Psi-like Vectorized Functions
functionXal-class | Class "functionXal" of Functionals (of Psi-like functions)

## -- G --

glmrob | Robust Fitting of Generalized Linear Models
glmrobBY.control | Controlling Robust GLM Fitting by Different Methods
glmrobMqle.control | Controlling Robust GLM Fitting by Different Methods
glmrobMT.control | Controlling Robust GLM Fitting by Different Methods

## -- H --

h.alpha.n | Compute h, the subsample size for MCD and LTS
hampelPsi | Constructor for Objects "Psi Function" Class
hard.rejection | Orthogonalized Gnanadesikan-Kettenring (OGK) Covariance Matrix Estimation
hatvalues.lmrob | Summary Method for "lmrob" Objects
hbk | Hawkins, Bradu, Kass's Artificial Data
heart | Heart Catherization Data
huberM | Safe (generalized) Huber M-Estimator of Location
huberPsi | Constructor for Objects "Psi Function" Class

## -- K --

kootenay | Waterflow Measurements of Kootenay River in Libby and Newgate

## -- L --

lactic | Lactic Acid Concentration Measurement Data
lmrob | MM-type Estimators for Linear Regression
lmrob..D..fit | Compute Design Adaptive Scale estimate
lmrob..M..fit | Compute M-estimators of regression
lmrob.control | Tuning Parameters for lmrob() and Auxiliaries
lmrob.fit | MM-type estimator for regression
lmrob.fit.MM | MM-type estimator for regression
lmrob.lar | Least Absolute Residuals / L1 Regression
lmrob.M.S | M-S regression estimators
lmrob.S | S-regression estimators
los | Length of Stay Data
ltsPlot | Robust LTS Regression Diagnostic Plots
ltsReg | Least Trimmed Squares Robust (High Breakdown) Regression
ltsReg.default | Least Trimmed Squares Robust (High Breakdown) Regression
ltsReg.formula | Least Trimmed Squares Robust (High Breakdown) Regression

## -- M --

mc | Medcouple, a Robust Measure of Skewness
Mchi | Psi / Chi / Wgt / Rho Functions for *M-Estimation
milk | Daudin's Milk Composition Data
model.matrix.lmrob | Summary Method for "lmrob" Objects
Mpsi | Psi / Chi / Wgt / Rho Functions for *M-Estimation
MrhoInf | Psi / Chi / Wgt / Rho Functions for *M-Estimation
Mwgt | Psi / Chi / Wgt / Rho Functions for *M-Estimation

## -- N --

nlrob | Robust Fitting of Nonlinear Regression Models
nlrob.algorithms | MM-, Tau-, CM-, and MTL- Estimators for Nonlinear Robust Regression
nlrob.CM | MM-, Tau-, CM-, and MTL- Estimators for Nonlinear Robust Regression
nlrob.control | Control Nonlinear Robust Regression Algorithms
nlrob.MM | MM-, Tau-, CM-, and MTL- Estimators for Nonlinear Robust Regression
nlrob.mtl | MM-, Tau-, CM-, and MTL- Estimators for Nonlinear Robust Regression
nlrob.tau | MM-, Tau-, CM-, and MTL- Estimators for Nonlinear Robust Regression
NOxEmissions | NOx Air Pollution Data

## -- O --

outlierStats | Robust Regression Outlier Statistics

## -- P --

pension | Pension Funds Data
phosphor | Phosphorus Content Data
pilot | Pilot-Plant Data
plot-method | Plot an Object of the "Psi Function" Class
plot-methods | Plot an Object of the "Psi Function" Class
plot.lmrob | Plot Method for "lmrob" Objects
plot.lts | Robust LTS Regression Diagnostic Plots
plot.mcd | Robust Distance Plots
possum.mat | Possum Diversity Data
possumDiv | Possum Diversity Data
predict.glmrob | Predict Method for Robust GLM ("glmrob") Fits
predict.lmrob | Predict method for Robust Linear Model ("lmrob") Fits
predict.nlrob | Robust Fitting of Nonlinear Regression Models
print.lmrob | Print Method for Objects of Class "lmrob"
print.lts | Least Trimmed Squares Robust (High Breakdown) Regression
print.mcd | Robust Location and Scatter Estimation via MCD
print.summary.glmrob | Summarizing Robust Fits of Generalized Linear Models
print.summary.lmrob | Summary Method for "lmrob" Objects
print.summary.lts | Summary Method for LTS objects
print.summary.mcd | Summary Method for MCD objects
psiFunc | Constructor for Objects "Psi Function" Class
psi_func-class | Class of "Psi Functions" for M-Estimation
pulpfiber | Pulp Fiber and Paper Data

## -- Q --

Qn | Robust Location-Free Scale Estimate More Efficient than MAD
Qn.old | Robust Location-Free Scale Estimate More Efficient than MAD

## -- R --

r6pack | Robust Distance based observation orderings based on robust "Six pack"
radarImage | Satellite Radar Image Data from near Munich
rankMM | Simple Matrix Rank
residuals.glmrob | Residuals of Robust Generalized Linear Model Fits
residuals.nlrob | Robust Fitting of Nonlinear Regression Models
robustbase-deprecated | Tukey's Bi-square Score (Psi) and "Chi" (Rho) Functions and Derivatives
rowMedians | Fast Row or Column-wise Medians of a Matrix
rrcov.control | Control Settings for covMcd and ltsReg

## -- S --

salinity | Salinity Data
scaleTau2 | Robust Tau-Estimate of Scale
SiegelsEx | Siegel's Exact Fit Example Data
sigma | Extract 'Sigma' - Standard Deviation of Errors for Robust Models
sigma.lmrob | Extract 'Sigma' - Standard Deviation of Errors for Robust Models
smoothWgt | Smooth Weighting Function - Generalized Biweight
Sn | Robust Location-Free Scale Estimate More Efficient than MAD
splitFrame | Split Continuous and Categorical Predictors
starsCYG | Hertzsprung-Russell Diagram Data of Star Cluster CYG OB1
steamUse | Steam Usage Data (Excerpt)
summarizeRobWeights | Print a Nice "summary" of Robustness Weights
summary.glmrob | Summarizing Robust Fits of Generalized Linear Models
summary.lmrob | Summary Method for "lmrob" Objects
summary.lts | Summary Method for LTS objects
summary.mcd | Summary Method for MCD objects
summary.nlrob | Summarizing Robust Fits of Nonlinear Regression Models
s_IQR | Orthogonalized Gnanadesikan-Kettenring (OGK) Covariance Matrix Estimation
s_mad | Orthogonalized Gnanadesikan-Kettenring (OGK) Covariance Matrix Estimation
s_Qn | Robust Location-Free Scale Estimate More Efficient than MAD
s_Sn | Robust Location-Free Scale Estimate More Efficient than MAD

## -- T --

telef | Number of International Calls from Belgium
tolEllipsePlot | Tolerance Ellipse Plot
toxicity | Toxicity of Carboxylic Acids Data
tukeyChi | Tukey's Bi-square Score (Psi) and "Chi" (Rho) Functions and Derivatives
tukeyPsi1 | Tukey's Bi-square Score (Psi) and "Chi" (Rho) Functions and Derivatives

## -- V --

vaso | Vaso Constriction Skin Data Set
vcov.glmrob | Summarizing Robust Fits of Generalized Linear Models
vcov.lmrob | Summary Method for "lmrob" Objects
vcov.nlrob | Robust Fitting of Nonlinear Regression Models

## -- W --

wagnerGrowth | Wagner's Hannover Employment Growth Data
weights.glmrob | Extract Robustness and Model Weights
weights.lmrob | Extract Robustness and Model Weights
wgt.himedian | Weighted Hi-Median
wood | Modified Data on Wood Specific Gravity

## -- misc --

.lmrob.hat | Summary Method for "lmrob" Objects
.MCDcnp2 | Robust Location and Scatter Estimation via MCD
.MCDcnp2.rew | Robust Location and Scatter Estimation via MCD
.MCDcons | Robust Location and Scatter Estimation via MCD
.MCDsingularityMsg | Robust Location and Scatter Estimation via MCD
.Mchi | Psi / Chi / Wgt / Rho Functions for *M-Estimation
.Mchi.tuning.default | Tuning Parameters for lmrob() and Auxiliaries
.Mchi.tuning.defaults | Tuning Parameters for lmrob() and Auxiliaries
.Mpsi | Psi / Chi / Wgt / Rho Functions for *M-Estimation
.Mpsi.tuning.default | Tuning Parameters for lmrob() and Auxiliaries
.Mpsi.tuning.defaults | Tuning Parameters for lmrob() and Auxiliaries
.MrhoInf | Psi / Chi / Wgt / Rho Functions for *M-Estimation
.Mwgt | Psi / Chi / Wgt / Rho Functions for *M-Estimation
.Mwgt.psi1 | Psi / Chi / Wgt / Rho Functions for *M-Estimation
.psi.const | Find Tuning Constant(s) for "lqq" and "ggw" Psi Functions
.psi.ggw.findc | Find Tuning Constant(s) for "lqq" and "ggw" Psi Functions
.psi.lqq.findc | Find Tuning Constant(s) for "lqq" and "ggw" Psi Functions
.psi2ipsi | Psi / Chi / Wgt / Rho Functions for *M-Estimation
.vcov.avar1 | MM-type Estimators for Linear Regression
.vcov.w | MM-type Estimators for Linear Regression
.wgtFUN.covComed | Co-Median Location and Scatter "Covariance" Estimator
.wgtFUN.covMcd | Robust Location and Scatter Estimation via MCD