Abstract
AbstractMatched pairs with categorical data arise when two measurements of the same categorical variable are obtained from each experimental unit. Such data are generally displayed in a two‐way contingency table. When the variable of interest is binary (dichotomous), marginal homogeneity can be tested using McNemar's test or the exact binomial one‐sample test. For a polytomous variable, marginal homogeneity can be tested using Stuart's test, and by tests proposed by Bhapkar and Madansky. The likelihood ratio test of marginal homogeneity conditional on the assumption of quasi‐symmetry can also be used. The hypothesis of symmetry for a polytomous variable can be tested using Bowker's test and the likelihood ratio test. For ordered categorical variables, one degree of freedom tests of marginal homogeneity can be carried out using tests analogous to those of Stuart and Bhapkar. Another approach to testing marginal homogeneity for ordered classifications is based on the conditional symmetry loglinear model.
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