Studying the dependence between ordinal-nominal categorical variables via orthogonal polynomials

Rosaria Lombardo, Eric Beh () and Antonello D'Ambra

Journal of Applied Statistics, 2011, vol. 38, issue 10, 2119-2132

Abstract: In situations where the structure of one of the variables of a contingency table is ordered recent theory involving the augmentation of singular vectors and orthogonal polynomials has shown to be applicable for performing symmetric and non-symmetric correspondence analysis. Such an approach has the advantage of allowing the user to identify the source of variation between the categories in terms of components that reflect linear, quadratic and higher-order trends. The purpose of this paper is to focus on the study of two asymmetrically related variables cross-classified to form a two-way contingency table where only one of the variables has an ordinal structure.

Keywords: ordered categorical variables; non-symmetric correspondence analysis; bivariate moment decomposition; singular value decomposition; orthogonal polynomials (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1080/02664763.2010.545118

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