TITLE:
Test for Homogeneity of Odds Ratios Using U-Statistics
AUTHORS:
Qi Wei, Dejian Lai
KEYWORDS:
Homogeneity Test, Odds Ratio, U-Statistics
JOURNAL NAME:
Open Journal of Statistics,
Vol.9 No.3,
June
18,
2019
ABSTRACT: There
are a few statistics testing the homogeneity of odds ratios
across strata. Asymptotic statistics lose their
power in the “sparse-data” setting. Both asymptotic statistics and exact tests
have low power when the sample sizes are small. We created a set of U statistics and compared them with some
existing statistics in testing homogeneity of OR at different data settings. We evaluated their performance in
terms of the empirical size and power via Monto Carlo simulations. Our results
showed that two of the U-statistics under our study had higher power for
testing homogeneity of odds ratios for 2 by 2 contingency tables. The application of the tests was illustrated in two
real examples.