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Testing marginal homogeneity against stochastically ordered marginals for rxr contingency tables

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  • Gao, Wei
  • Kuriki, Satoshi
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Abstract

A square contingency table often appears in social, biomedical and behavioral science to be used to display joint responses when two variables have the same category levels. When responses are ordered categories, it is usually important to test the hypotheses of marginal homogeneity against stochastically ordered marginals. In this paper, a test statistic based on the Kullback-Leibler divergence is proposed. An algorithm for computing the Kullback-Leibler measure of discrepancy is provided. The related asymptotic distribution under marginal homogeneity is the Chi-bar square distribution.

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Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 97 (2006)
Issue (Month): 6 (July)
Pages: 1330-1341

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Handle: RePEc:eee:jmvana:v:97:y:2006:i:6:p:1330-1341

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Keywords: Kullback-Leibler information Marginal homogeneity Stochastically ordered marginal Chi-bar square distribution Algorithm;

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  1. Bartolucci F. & Forcina A., 2002. "Extended RC Association Models Allowing for Order Restrictions and Marginal Modeling," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1192-1199, December.
  2. Bartolucci F. & Forcina A. & Dardanoni V., 2001. "Positive Quadrant Dependence and Marginal Modeling in Two-Way Tables With Ordered Margins," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1497-1505, December.
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