onsca3basic {CA3variants}R Documentation

Three-way Ordered Non-Symmetrical Correspondence Analysis

Description

This function is used in the main function CAvariants when the input parameter is ca3type="ONSCA3".
It performs the three-way symmetric correspondence analysis by TUCKALS3.

Usage

onsca3basic(x, p, q, r, test = 10^-6, ctr = T, std = T, norder=3)

Arguments

x

The three-way contingency table.

p

The number of components of the first mode.

q

The number of components of the second mode.

r

The number of components of the third mode.

test

The treshold used in the algorithm TUCKALS3.

ctr

The flag parameter (T or F), if F the analysis is not centered.

std

The flag parameter (T or F) if F the analysis is not standardized.

norder

The number of ordered variables considered.

Value

x

The original three-way contingency table.

xs

The weighted three-way contingency table.

xhat

Three-way contingency table reconstructed after Tuckals3 by principal components and core array

nxhat2

The inertia of three-way symmetric correspondence analysis (Three-way Pearson ratio).

prp

The proportion of inertia reconstructed using the p, q, r principal components and the core array to the total inertia. To select the model dimensions (number of principal components), we examine the inertia explained by the p, q, r principal components with respect to the overall fit.

a

The row principal components.

b

The column principal coordinates.

cc

The tube principal coordinates.

g

The core array calculated by using the Tuckals3 algorithm and can be interpreted as generalised singular value table. They help to explain the strength of the association between the three principal components.

iteration

The number of iterations that are required for the TUCKALS3 algorithm to converge.

Author(s)

Rosaria Lombardo, Eric J Beh.

References

Beh EJ and Lombardo R (2014). Correspondence Analysis, Theory, Practice and New Strategies. John Wiley & Sons.


[Package CA3variants version 3.0 Index]