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CA3variants (version 3.3.1)

Three-Way Correspondence Analysis Variants

Description

Provides four variants of three-way correspondence analysis (ca): three-way symmetrical ca, three-way non-symmetrical ca, three-way ordered symmetrical ca and three-way ordered non-symmetrical ca.

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Version

Install

install.packages('CA3variants')

Monthly Downloads

284

Version

3.3.1

License

GPL (> 2)

Maintainer

Rosaria Lombardo

Last Published

October 10th, 2022

Functions in CA3variants (3.3.1)

The partition of the Pearson three-way index

Column marginals of a three-way contingency table

The stopping criteria for the Tucker3 algorithm

Three dimensional correspondence plot

Graphical display resulting from tunelocal

Tube marginals of a three-way contingency table

print.CA3variants

Print of three-way correspondence analysis results

Criterion of the Tucker3 algorithm

Rating-ranking data a three-way contingency table

print.tunelocal

Print of tunelocal function results

Partition of the Marcotorchino three-way index

The weighted components of the Tucker3 algorithm

newcomp3ordered2

Updated component matrices

Three-way Non-Symmetrical Correspondence Analysis

Component matrices from the Trivariate Moment Decomposition decomposition

Component matrices from the Tucker3 decomposition

Raw data: Three variables from a Dutch survey on happiness

Row isometric biplot or Column isometric biplot

General loss criterion

The core array derived via the Trivariate Moment Decomposition model.

Dimension selection for three-dimensional correspondence biplot using convex hull.

Three-way contingency table

Correspondence Analysis variants for three-way contingency tables

Pointing to the columns of the component matrices.

Three-way Ordered Symmetrical Correspondence Analysis

Kronecker product

Three-way contingency table

Orthogonal polynomials

Products among arrays

Flattened table

The partition of the Pearson three-way index.

Difference between two successive components

Check the sign of component values

Reconstruction of the three-way centred profile table

summary.CA3variants

Summary of three-way correspondence analysis results

Initial components from the Tuckals3 algorithm

Changing component sign

Initial components from the Trivriate Moment Decomposition algorithm

Sort the core array

The external product in Tuckals3.

newcomp3ordered1

Updated component matrices

newcomp3ordered

Updated component matrices

General loss criterion

Changing core sign

Three-way Symmetrical Correspondence Analysis

Three-way Ordered Non-Symmetrical Correspondence Analysis

plot.CA3variants

Graphical display resulting from CA3variants

Initial components from the Trivariate Moment Decomposition algorithm

Three-way centred column profile table for the three-way symmetric correspondence analysis

Initial components from the Trivariate Moment Decomposition algorithm

Weighted centred three-way table for three-way non-symmetric correspondence analysis

Tucker3 decomposition of the three-way table.

Make an Indicator matrix

simulabootsimple

Generation of parametric bootstrap samples

simulabootstrat

Generation of parametric bootstrap samples

Row marginals of a three-way contingency table

Trivariate moment decomposition of the three-way table.

The weighted components of the Tucker3 algorithm

Raw data: Three variables from a survey

The partition of the Marcotorchino three-way index.

Updated component matrices

Selecting the mode.

Changing the sign of negative core values.

The core array derived via the Tucker3 model.

Generation of non-parametric bootstrap samples