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ICS (version 1.4-2)

Tools for Exploring Multivariate Data via ICS/ICA

Description

Implementation of Tyler, Critchley, Duembgen and Oja's (JRSS B, 2009, ) and Oja, Sirkia and Eriksson's (AJS, 2006, ) method of two different scatter matrices to obtain an invariant coordinate system or independent components, depending on the underlying assumptions.

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Version

Install

install.packages('ICS')

Version

1.4-2

License

GPL (>= 2)

Maintainer

Klaus Nordhausen

Last Published

March 18th, 2025

Functions in ICS (1.4-2)

coef.ICS-S3

To extract the Coefficient Matrix of the ICS Transformation
ICS-S3

Two Scatter Matrices ICS Transformation
ICS-package

tools:::Rd_package_title("ICS")
coef.ics

To extract the Unmixing Matrix
fitted.ics

Fitted Values of an ICS Object
print.ICS-S3

Basic information of ICS Object
covAxis

One step Tyler Shape Matrix
print.ics

Basic information of ICS Object
components

To extract the Component Scores of the ICS Transformation
screeplot.ICS-S3

Screeplot for an ICS Object
gen_kurtosis

To extract the Generalized Kurtosis Values of the ICS Transformation
ics-class

Class ICS
covOrigin

Covariance Matrix with Respect to the Origin
cov4

Scatter Matrix based on Fourth Moments
plot.ICS-S3

Scatterplot Matrix of Component Scores from the ICS Transformation
Mean3Cov4

Location Vector Based on 3rd Moments and Scatter Matrix Based on 4th Moments
plot.ics

Scatterplot for a ICS Object
screeplot.ics

Screeplot for an ICS Object
ics.components

Extracting ICS Components
ics

Two Scatter Matrices ICS Transformation
cov4.wt

Weighted Scatter Matrix based on Fourth Moments
covW

One-step M-estimator
fitted.ICS-S3

Fitted Values of the ICS Transformation
ics2

Two Scatter Matrices ICS Transformation Augmented by Two Location Estimates
ics2-class

Class ICS2
mean3

Location Estimate based on Third Moments
print.ics2

Basic information of ICS2 Object
scovq

Supervised scatter matrix based on quantiles
mvnorm.kur.test

Test of Multivariate Normality Based on Kurtosis
summary.ics2

To summarize an ICS2 object
mvnorm.skew.test

Test of Multivariate Normality Based on Skewness
tM

Joint M-estimation of Location and Scatter for a Multivariate t-distribution
summary.ICS-S3

To summarize an ICS object
summary.ics

To summarize an ICS object
MeanCov

Mean Vector and Covariance Matrix
ICS_scatter

Location and Scatter Estimates for ICS