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

Title: Studying the dependence between ordinal-nominal categorical variables via orthogonal polynomials
Creator: Lombardo, Rosaria; Beh, Eric J.; D'Ambra, Antonello
Relation: Journal of Applied Statistics Vol. 38, Issue 10, p. 2119-2132
Publisher Link: http://dx.doi.org/10.1080/02664763.2010.545118
Publisher: Taylor & Francis
Resource Type: journal article
Date: 2011
Description: 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.
Subject: ordered categorical variables; non-symetric correspondence analysis; bivariate moment decomposition; orthogonal polynomials
Identifier: http://hdl.handle.net/1959.13/1054074
Identifier: uon:15703
Identifier: ISSN:0266-4763
Language: eng
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