New Developments in Ordinal Non Symmetrical Correspondence Analysis

For the study of association in two and three-way contingency tables the literature offers a large number of techniques that can be considered.When there is an asymmetric dependence structure between the variables, the Goodman-Kruskal and Marcotorchino index (with respect to the Pearson chi-squared statistic) can be used to measure the strength of their association when they are collected in two and three way contingency tables, respectively. In the last years, special attention has been paid to the graphical representation of the dependence structure between two or more variables, preserving the information arising from the ordinal structure of themodalities. In this paper, the authors synthesize themain proposals falling within the framework called Ordinal Non Symmetrical Correspondence Analysis for two and three way contingency tables.