Sources of heterogeneity in distributions with ordered categorical variables

Wai-Yin Poon

Journal of Applied Statistics, 1999, vol. 26, issue 3, 383-392

Abstract: The chi-squared statistic is used to test the homogeneity for several groups in a contingency table. However, it may be inappropriate to apply the test when ordinal categories are involved. If it can be assumed that the ordinal categorical variables are realizations of underlying continuous random variables, then it is possible to study the properties of different groups in a relative sense. Assuming that the distributions of the continuous variables are in the same family and that the thresholds that define the categories are invariant across groups, we propose a procedure to test homogeneity and to address the sources of heterogeneity in different groups. An example based on a real data set is used to demonstrate the practical applicability of the suggested method.

Date: 1999
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DOI: 10.1080/02664769922485

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