donscabasic: Doubly or two-way ordered non symmetrical correspondence analysis
Description
This function is used in the main function CAvariants when the input parameter is catype = "DONSCA".
It performs the bivariate moment decomposition of the numerator of the Goodman-Kruskal tau index and implies two ordered variables.
It computes polynomial axes, coordinates, weights of rows and columns, total inertia (equal to the numerator of the tau index) and the rank of the matrix.
It allows the analyst to decompose the inertia into row and column polynomial components.
Usage
donscabasic(Xtable, mi, mj)
Arguments
Xtable
The two-way contingency table.
mi
The set of ordered row scores.
mj
The set of ordered column scores.
References
Beh EJ and Lombardo R 2014 Correspondence Analysis: Theory, Practice and New Strategies. John Wiley & Sons.
Lombardo R Beh EJ 2016 Variants of Simple Correspondence Analysis. The R Journal, 8 (2), 167--184.
Lombardo R Beh EJ and Kroonenberg PM 2016 Modelling Trends in Ordered Correspondence Analysis Using Orthogonal
Polynomials. Psychometrika, 81(2), 325--349.