Testing marginal homogeneity in square tables; with emphasis on matched data.
A noniterative procedure based upon the minimum modified X2 approach is employed to test the model of homogeneity of one-dimensional margins in square tables. Such tables may arise from matched pairs with k outcomes. The special case of double dichotomy (i.e. matched pairs with two outcomes) reduces to the McNemar test statistic. The case of multiple matched controls is also dealt with. The Cochran's Q test is used to test the marginal homogeneity in cases comparing m distinct matched samples in addition to testing trends in proportions. Reference is made to the equivalence between these tests and the approach of hierarchical log-linear models for testing marginal homogeneity of square tables.
D001699:Biometry; D002986:Clinical Trials as Topic; D003201:Computers; D004812:Epidemiologic Methods; D012984:Software