Cumulative correspondence analysis using orthogonal polynomials

Antonello D'Ambra

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 6, 2942-2954

Abstract: Taguchi's statistic has long been known to be a more appropriate measure of association of the dependence for ordinal variables compared to the Pearson chi-squared statistic. Therefore, there is some advantage in using Taguchi's statistic in the correspondence analysis context when a two-way contingency table consists at least of an ordinal categorical variable. The aim of this paper, considering the contingency table with two ordinal categorical variables, is to show a decomposition of Taguchi's index into linear, quadratic and higher-order components. This decomposition has been developed using Emerson's orthogonal polynomials. Moreover, two case studies to explain the methodology have been analyzed.

Date: 2017
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DOI: 10.1080/03610926.2015.1053938

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