Partial Round-Robin Comparisons with Perfect Rankings |
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| Authors: | Samy Suissa Jonathan J Shuster |
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| Institution: | 1. Department of Epidemiology and Biostatistics , McGill University , Montreal , Quebec , Canada , H3A 2B4;2. Department of Statistics , University of Florida , Gainesville , FL , 32601 , USA |
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| Abstract: | In teaching the development of uniformly most powerful unbiased (UMPU) tests, one rarely discusses the performance of alternative biased tests. It is shown, through the comparison of two independent Bernoulli proportions, that a biased test (the Z test) can be more powerful than the UMPU test (Fisher's exact test—randomized) in a large region of the alternative parameter space. A more general example is also given. |
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| Keywords: | Unconditional tests Nuisance parameter Two-by-two contingency table Fisher's exact test |
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