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rrcov: Scalable Robust Estimators with High Breakdown Point

The package rrcov provides scalable robust estimators with high breakdown point and covers a large number of robustified multivariate analysis methods, starting with robust estimators for the multivariate location and covariance matrix (MCD, MVE, S, MM, SD), the deterministic versions of MCD, S and MM estimates and regularized versions (MRCD) for high dimensions. These estimators are used to conduct robust principal components analysis (PcaCov()), linear and quadratic discriminant analysis (Linda(), Qda()), MANOVA. Projection pursuit algorithms for PCA to be applied in high dimensions are also available (PcaHubert(), PcaGrid() and PcaProj()).

Installation

The rrcov package is on CRAN (The Comprehensive R Archive Network) and the latest release can be easily installed using the command

install.packages("rrcov")
library(rrcov)

Building from source

To install the latest stable development version from GitHub, you can pull this repository and install it using

## install.packages("remotes")
remotes::install_github("valentint/rrcov" --no-build-vignettes)

Of course, if you have already installed remotes, you can skip the first line (I have commented it out).

Example

This is a basic example which shows you if the package is properly installed:

library(rrcov)
#> Loading required package: robustbase
#> Scalable Robust Estimators with High Breakdown Point (version 1.6-1)
data(hbk)
(out <- CovMcd(hbk))
#> 
#> Call:
#> CovMcd(x = hbk)
#> -> Method:  Fast MCD(alpha=0.5 ==> h=40); nsamp = 500; (n,k)mini = (300,5) 
#> 
#> Robust Estimate of Location: 
#>       X1        X2        X3         Y  
#>  1.50345   1.85345   1.68276  -0.06552  
#> 
#> Robust Estimate of Covariance: 
#>     X1        X2        X3        Y       
#> X1   1.56742   0.15447   0.28699   0.16560
#> X2   0.15447   1.60912   0.22130  -0.01917
#> X3   0.28699   0.22130   1.55468  -0.21853
#> Y    0.16560  -0.01917  -0.21853   0.45091

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Version

Install

install.packages('rrcov')

Monthly Downloads

23,230

Version

1.7-1

License

GPL (>= 3)

Issues

Pull Requests

Stars

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Maintainer

Valentin Todorov

Last Published

August 12th, 2022

Functions in rrcov (1.7-1)

CovControlMMest-class

Class 'CovControlMMest' - contains control parameters for "CovMMest"
Cascades

Annual precipitation totals for the North Cascades region
CovControlMcd-class

Class 'CovControlMcd' - contains control parameters for CovMcd
Cov-class

Class "Cov" -- a base class for estimates of multivariate location and scatter
CovControl-class

Class "CovControl" is a VIRTUAL base control class
CovClassic

Classical Estimates of Multivariate Location and Scatter
CovControlMcd

Constructor function for objects of class "CovControlMcd"
Appalachia

Annual maximum streamflow in central Appalachia
CovClassic-class

Class "CovClassic" - classical estimates of multivariate location and scatter
CovControlMMest

Constructor function for objects of class "CovControlMMest"
CovControlMve-class

Class 'CovControlMve' - contains control parameters for CovMve
CovControlMrcd

Constructor function for objects of class "CovControlMrcd"
CovControlMve

Constructor function for objects of class "CovControlMve"
CovControlMrcd-class

Class 'CovControlMrcd' - contains control parameters for CovMrcd()
CovControlMest-class

Class 'CovControlMest' - contains control parameters for "CovMest"
CovControlMest

Constructor function for objects of class "CovControlMest"
CovControlOgk-class

Class 'CovControlOgk' - contains control parameters for CovOgk
CovControlOgk

Constructor function for objects of class "CovControlOgk"
CovControlSde-class

Class 'CovControlSde' - contains control parameters for "CovSde"
CovControlSde

Constructor function for objects of class "CovControlSde"
CovMrcd-class

MRCD Estimates of Multivariate Location and Scatter
CovMcd-class

MCD Estimates of Multivariate Location and Scatter
CovMrcd

Robust Location and Scatter Estimation via Minimum Regularized Covariance Determonant (MRCD)
CovMMest-class

MM Estimates of Multivariate Location and Scatter
CovMMest

MM Estimates of Multivariate Location and Scatter
CovMest-class

Constrained M-estimates of Multivariate Location and Scatter
CovControlSest

Constructor function for objects of class "CovControlSest"
CovControlSest-class

Class 'CovControlSest' - contains control parameters for "CovSest"
CovMest

Constrained M-Estimates of Location and Scatter
CovMcd

Robust Location and Scatter Estimation via MCD
CovSest-class

S Estimates of Multivariate Location and Scatter
CovRobust-class

Class "CovRobust" - virtual base class for robust estimates of multivariate location and scatter
CovSest

S Estimates of Multivariate Location and Scatter
CovOgk-class

OGK Estimates of Multivariate Location and Scatter
CovSde-class

Stahel-Donoho Estimates of Multivariate Location and Scatter
CovSde

Stahel-Donoho Estimates of Multivariate Location and Scatter
CovMve

Robust Location and Scatter Estimation via MVE
Pca-class

Class "Pca" - virtual base class for all classic and robust PCA classes
OsloTransect

Oslo Transect Data
LdaClassic-class

Class "LdaClassic" - Linear Discriminant Analysis
LdaClassic

Linear Discriminant Analysis
LdaPP-class

Class "LdaPP" - Robust method for Linear Discriminant Analysis by Projection-pursuit
LdaRobust-class

Class "LdaRobust" is a virtual base class for all robust LDA classes
LdaPP

Robust Linear Discriminant Analysis by Projection Pursuit
PcaClassic

Principal Components Analysis
PcaLocantore

Spherical Principal Components
PcaLocantore-class

Class "PcaLocantore" Spherical Principal Components
PredictLda-class

Class "PredictLda" - prediction of "Lda" objects
PcaProj-class

Class "PcaProj" - Robust PCA using PP - Croux and Ruiz-Gazen (2005) algorithm
PcaProj

Robust Principal Components based on Projection Pursuit (PP): Croux and Ruiz-Gazen (2005) algorithm
QdaClassic-class

Class "QdaClassic" - Quadratic Discriminant Analysis
PcaCov-class

Class "PcaCov" - Robust PCA based on a robust covariance matrix
QdaClassic

Quadratic Discriminant Analysis
PcaCov

Robust PCA based on a robust covariance matrix
SummaryQda-class

Class "SummaryQda" - summary of "Qda" objects
getLoadings-methods

Accessor methods to the essential slots of Pca and its subclasses
hemophilia

Hemophilia Data
SummaryLda-class

Class "SummaryLda" - summary of "Lda" objects
restimate-methods

Methods for Function estimate in Package 'rrcov'
lmom33

Hosking and Wallis Data Set, Table 3.3
machines

Computer Hardware
rice

Rice taste data
pottery

Archaic Greek Pottery data
scorePlot-methods

Score plot for Principal Components (objects of class 'Pca')
covMest

Constrained M-Estimates of Location and Scatter
bushmiss

Campbell Bushfire Data with added missing data items
biplot-methods

Biplot for Principal Components (objects of class 'Pca')
bus

Automatic vehicle recognition data
T2.test

Robust Hotelling T2 test
Wilks.test

Classical and Robust One-way MANOVA: Wilks Lambda
rrcov-utils

Different utility functions to be used in rrcov and packages depending on rrcov
salmon

Salmon data
plot-methods

Methods for Function 'plot' in Package 'rrcov'
PcaHubert-class

Class "PcaHubert" - ROBust method for Principal Components Analysis
isSingular-methods

Check if a covariance matrix (object of class 'Cov') is singular
getCenter-methods

Accessor methods to the essential slots of Cov and its subclasses
Qda-class

Class "Qda" - virtual base class for all classic and robust QDA classes
PredictQda-class

Class "PredictQda" - prediction of "Qda" objects
un86

United Nations Data - 1986
pca.distances

Compute score and orthogonal distances for Principal Components (objects of class 'Pca')
getEllipse

Calculates the points for drawing a confidence ellipsoid
wages

Wages and Hours
CovMve-class

MVE Estimates of Multivariate Location and Scatter
CovOgk

Robust Location and Scatter Estimation - Ortogonalized Gnanadesikan-Kettenring (OGK)
Linda-class

Class "Linda" - Robust method for LINear Discriminant Analysis
CovRobust

Robust Location and Scatter Estimation
PcaGrid

Robust Principal Components based on Projection Pursuit (PP): GRID search Algorithm
Linda

Robust Linear Discriminant Analysis
PcaGrid-class

Class "PcaGrid" - Robust PCA using PP - GRID search Algorithm
Lda-class

Class "Lda" - virtual base class for all classic and robust LDA classes
PcaClassic-class

Class "PcaClassic" - Principal Components Analysis
SummaryCovRobust-class

Class "SummaryCovRobust" - summary of "CovRobust" objects
PcaHubert

ROBPCA - ROBust method for Principal Components Analysis
QdaRobust-class

Class "QdaRobust" is a virtual base class for all robust QDA classes
SummaryCov-class

Class "SummaryCov" - summary of "Cov" objects
PcaRobust-class

Class "PcaRobust" is a virtual base class for all robust PCA classes
SummaryPca-class

Class "SummaryPca" - summary of "Pca" objects
maryo

Marona and Yohai Artificial Data
fish

Fish Catch Data Set
fruit

Fruit data set
lmom32

Hosking and Wallis Data Set, Table 3.2
QdaCov

Robust Quadratic Discriminant Analysis
QdaCov-class

Class "QdaCov" - Robust methods for Quadratic Discriminant Analysis
octane

Octane data
soil

Exchangable cations in forest soil data set
olitos

Olive Oil Data
diabetes

Reaven and Miller diabetes data
pca.scoreplot

Score plot for Principal Components (objects of class 'Pca')
wolves

Skull dimensions of the wolf Canis lupus L.