docabasic: Doubly, or two-way, ordered correspondence analysis: for two ordered variables
Description
This function is used by the main function CAvariants when the input parameter is catype = "DOCA".
It performs the bivariate moment decomposition of the Pearson ratio,
computes polynomial axes, coordinates, weights of rows and columns, total inertia (based on Pearson's chi-squared statistic), the rank of the matrix.
It also decomposes the inertia into row and column polynomial components.
Usage
docabasic(Xtable, mi, mj)
Arguments
Xtable
The two-way contingency table.
mi
The set of ordered row scores. By default, mi = c(1:nrow(Xtable)) (natural scores).
mj
The set of ordered column scores. By default, mj = c(1:ncol(Xtable)) (natural scores).
Author
Rosaria Lombardo and Eric J. Beh
References
Beh EJ and Lombardo R 2014 Correspondence Analysis: Theory, Practice and New Strategies. Wiley.
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.