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Test for Homogeneity of Odds Ratios Using U-Statistics

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Document pages: 14 pages

Abstract: Thereare a few statistics testing the homogeneity of odds ratiosacross strata. Asymptotic statistics lose theirpower in the “sparse-data” setting. Both asymptotic statistics and exact testshave low power when the sample sizes are small. We created a set of U statistics and compared them with someexisting statistics in testing homogeneity of OR at different data settings. We evaluated their performance interms of the empirical size and power via Monto Carlo simulations. Our resultsshowed that two of the U-statistics under our study had higher power fortesting homogeneity of odds ratios for 2 by 2 contingency tables. The application of the tests was illustrated in tworeal examples.

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