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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", build_opts = c("--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 1.7-0)
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

14,701

Version

1.7-2

License

GPL (>= 3)

Issues

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Last Published

October 24th, 2022

Functions in rrcov (1.7-2)

CovControlMcd-class

Class 'CovControlMcd' - contains control parameters for CovMcd
Appalachia

Annual maximum streamflow in central Appalachia
CovClassic

Classical Estimates of Multivariate Location and Scatter
Cascades

Annual precipitation totals for the North Cascades region
CovControlMcd

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

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

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

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

Class 'CovControlOgk' - contains control parameters for CovOgk
CovControlOgk

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

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

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

MM Estimates of Multivariate Location and Scatter
CovMrcd-class

MRCD Estimates of Multivariate Location and Scatter
CovControlMrcd

Constructor function for objects of class "CovControlMrcd"
CovControlMest

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

Class 'CovControlSest' - contains control parameters for "CovSest"
CovMcd-class

MCD Estimates of Multivariate Location and Scatter
CovControl-class

Class "CovControl" is a VIRTUAL base control class
CovControlMve-class

Class 'CovControlMve' - contains control parameters for CovMve
CovSest-class

S Estimates of Multivariate Location and Scatter
CovMrcd

Robust Location and Scatter Estimation via Minimum Regularized Covariance Determonant (MRCD)
CovControlSest

Constructor function for objects of class "CovControlSest"
CovSest

S Estimates of Multivariate Location and Scatter
CovClassic-class

Class "CovClassic" - classical estimates of multivariate location and scatter
CovControlSde-class

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

Robust Linear Discriminant Analysis by Projection Pursuit
LdaRobust-class

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

Constructor function for objects of class "CovControlMve"
CovControlSde

Constructor function for objects of class "CovControlSde"
CovMMest

MM Estimates of Multivariate Location and Scatter
LdaClassic

Linear Discriminant Analysis
CovMcd

Robust Location and Scatter Estimation via MCD
CovMest-class

Constrained M-estimates of Multivariate Location and Scatter
LdaPP-class

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

Constrained M-Estimates of Location and Scatter
PcaLocantore-class

Class "PcaLocantore" Spherical Principal Components
PcaClassic-class

Class "PcaClassic" - Principal Components Analysis
PcaLocantore

Spherical Principal Components
PcaClassic

Principal Components Analysis
SummaryCovRobust-class

Class "SummaryCovRobust" - summary of "CovRobust" objects
SummaryLda-class

Class "SummaryLda" - summary of "Lda" objects
CovMve-class

MVE Estimates of Multivariate Location and Scatter
getCenter-methods

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

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

Robust Location and Scatter Estimation
PcaProj-class

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

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

OGK Estimates of Multivariate Location and Scatter
CovSde-class

Stahel-Donoho Estimates of Multivariate Location and Scatter
PcaProj

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

Biplot for Principal Components (objects of class 'Pca')
LdaClassic-class

Class "LdaClassic" - Linear Discriminant Analysis
CovSde

Stahel-Donoho Estimates of Multivariate Location and Scatter
bus

Automatic vehicle recognition data
CovOgk

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

Calculates the points for drawing a confidence ellipsoid
pca.scoreplot

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

Class "QdaClassic" - Quadratic Discriminant Analysis
CovMve

Robust Location and Scatter Estimation via MVE
plot-methods

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

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

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

Reaven and Miller diabetes data
QdaClassic

Quadratic Discriminant Analysis
OsloTransect

Oslo Transect Data
Linda

Robust Linear Discriminant Analysis
T2.test

Robust Hotelling T2 test
PcaCov

Robust PCA based on a robust covariance matrix
Pca-class

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

Class "PredictQda" - prediction of "Qda" objects
restimate-methods

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

Class "PcaHubert" - ROBust method for Principal Components Analysis
Qda-class

Class "Qda" - virtual base class for all classic and robust QDA classes
Wilks.test

Classical and Robust One-way MANOVA: Wilks Lambda
getLoadings-methods

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

ROBPCA - ROBust method for Principal Components Analysis
isSingular-methods

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

Class "PcaRobust" is a virtual base class for all robust PCA classes
lmom32

Hosking and Wallis Data Set, Table 3.2
PcaGrid-class

Class "PcaGrid" - Robust PCA using PP - GRID search Algorithm
un86

United Nations Data - 1986
bushmiss

Campbell Bushfire Data with added missing data items
PredictLda-class

Class "PredictLda" - prediction of "Lda" objects
scorePlot-methods

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

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

Exchangable cations in forest soil data set
wages

Wages and Hours
PcaGrid

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

Hemophilia Data
covMest

Constrained M-Estimates of Location and Scatter
olitos

Olive Oil Data
QdaCov-class

Class "QdaCov" - Robust methods for Quadratic Discriminant Analysis
pca.distances

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

Robust Quadratic Discriminant Analysis
SummaryPca-class

Class "SummaryPca" - summary of "Pca" objects
SummaryCov-class

Class "SummaryCov" - summary of "Cov" objects
fish

Fish Catch Data Set
SummaryQda-class

Class "SummaryQda" - summary of "Qda" objects
fruit

Fruit data set
lmom33

Hosking and Wallis Data Set, Table 3.3
rrcov-utils

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

Marona and Yohai Artificial Data
machines

Computer Hardware
octane

Octane data
salmon

Salmon data
wolves

Skull dimensions of the wolf Canis lupus L.
pottery

Archaic Greek Pottery data
rice

Rice taste data