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.

Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials / R., Lombardo; E., Beh; D'Ambra, Luigi. - In: COMPUTATIONAL STATISTICS & DATA ANALYSIS. - ISSN 0167-9473. - STAMPA. - 52:1(2007), pp. 566-577. [10.1016\S0167-9473(07)00313-1]

Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials

D'AMBRA, LUIGI
2007

Abstract

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.
2007
Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials / R., Lombardo; E., Beh; D'Ambra, Luigi. - In: COMPUTATIONAL STATISTICS & DATA ANALYSIS. - ISSN 0167-9473. - STAMPA. - 52:1(2007), pp. 566-577. [10.1016\S0167-9473(07)00313-1]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/103240
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