Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials

Title: Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials
Creator: Lombardo, R.; Beh, E. J.; D'Ambra, L.
Relation: Computational Statistics & Data Analysis Vol. 52, Issue 1, p. 566 - 577
Publisher Link: http://dx.doi.org/10.1016/j.csda.2006.12.040
Publisher: Elsevier
Resource Type: journal article
Date: 2007
Description: Non-symmetrical correspondence analysis (NSCA) is a useful tool for graphically detecting the asymmetric relationship between two categorical variables. Most of the theory associated with NSCA does not distinguish between a two-way contingency table of ordinal variables and a two-way one of nominal variables. Typically, singular value decomposition (SVD) is used in classical NSCA for dimension reduction. A bivariate moment decomposition (BMD) for ordinal variables in contingency tables using orthogonal polynomials and generalized correlations is proposed. This method not only takes into account the ordinal nature of the two categorical variables, but also permits for the detection of significant association in terms of location, dispersion and higher order components.
Subject: non-symmetric correspondence analysis; ordinal variables; bivariate moment decomposition; orthogonal polynomials; confidence circles
Identifier: http://hdl.handle.net/1959.13/926858
Identifier: uon:9965
Identifier: ISSN:0167-9473
Language: eng
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