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Testing the Marginal Proportions for Marginal Homogeneity Model in Square Contingency Tables with Ordered Categories

G. Altun, S. Aktaş

Abstract



The marginal homogeneity model (MH) in square contingency tables shows that the marginal probability for each row equals the marginal probability for its corresponding column. TheMH model indicates that the row marginal distribution is identical with the column marginal distribution. In this study, we consider the problem in which case MH model does not hold. In this case,the sample marginal proportions, the confidence interval for difference of proportions and measures for the degree of departure from MH model are calculated to understand in detail why the MH model does not provide fit to used data set. A numerical example on insomniac patient’s reported time (in minutes) to fall asleep after going to bed is analyzed to see thedepartures from the MH models.

Keywords


Marginal homogeneity model, square contingency table, departure measure,marginal proportions

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