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The weighted compounding of probabilities from three independent hypothesis tests
Authors:Noel C. Wheeler  Bonnie H. Corre  Anant M. Kshirsagar
Affiliation:1. Department of Biostatistics , UCLA School of Medicine , Los Angeles, CA, 90024;2. Department of Biomathematics School of Public Health , University of Michigan , Ann Arbor, MI, 48109
Abstract:Tail probabilities from three independent hypothesis tests can be combined to form a test statistic of the form P1,P2 θ2,P3 θ3.The null distribution of the combined test statistic is presented and critical values for α=0.01 and 0.05 are provided.The power of this test is discussed for the special case ofthree independent F-tests.
Keywords:tail probabilities  weighted compounding of probabilities  combining independent hypothesis tests  power of combined tests
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