Testing homogeneity of stratum effects in stratified paired binary data.

For paired binary data, McNemar's test is widely used to test marginal homogeneity or symmetry for a 2 by 2 contingency table. In this article, we extend McNemar's test by considering a series of paired binary data in which the series is defined by a stratification factor. We provide a test for testing homogeneous stratum effects. For illustration, we apply our test to a cancer epidemiology study. Finally, we conduct simulations to show that our test preserves the nominal type I error level and evaluate the power of our test under various scenarios.