UMP(U)-tests for a binomial parameter: A paradox

被引：0
|
作者：
Finner, H [1 ]
Strassburger, K [1 ]
机构：
[1] Univ Dusseldorf, Deutsch Diabet Forschungsinst, Abt Biometrie & Epidemiol, D-40225 Dusseldorf, Germany
来源：
BIOMETRICAL JOURNAL | 2001年 / 43卷 / 06期
关键词：
one-sided hypothesis; optimum sample size; power function; two-sided hypothesis; uniformly most powerful unbiased test;
D O I：
10.1002/1521-4036(200110)43:6<667::AID-BIMJ667>3.0.CO;2-O
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider uniformly most powerful (UMP) as well as uniformly most powerful unbiased (UMPU) tests and their non-randomized versions for certain hypotheses concerning a binomial parameter. It will be shown that the power function of a UMP(U)-test based on sample size n can coincide on the entire parameter space with the power function of the corresponding test based on sample size n + 1. A complete characterization or this paradox will be derived. Apart some exceptional cases for two-sided tests and equivalence tests the paradox appears if and only if a test based on sample size n is non-randomized.
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页码：667 / 675
页数：9
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