Test for Homogeneity of Odds Ratios Using <i>U</i>-Statistics  

Test for Homogeneity of Odds Ratios Using <i>U</i>-Statistics

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作  者:Qi Wei Dejian Lai 

机构地区:[1]Surgery Core Research, Baylor College of Medicine, Houston, USA [2]Department of Biostatistics and Data Science, School of Public Health, The University of Texas Health Science Center at Houston, Houston, USA

出  处:《Open Journal of Statistics》2019年第3期347-360,共14页统计学期刊(英文)

摘  要: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.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.

关 键 词:HOMOGENEITY TEST Odds Ratio U-STATISTICS 

分 类 号:R73[医药卫生—肿瘤]

 

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