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Displaying similar documents to “Some aspects of the conditional inference when the sample size is random.”

The behavior of locally most powerful tests

Marek Omelka (2005)

Kybernetika

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The locally most powerful (LMP) tests of the hypothesis H : θ = θ 0 against one-sided as well as two-sided alternatives are compared with several competitive tests, as the likelihood ratio tests, the Wald-type tests and the Rao score tests, for several distribution shapes and for location, shape and vector parameters. A simulation study confirms the importance of the condition of local unbiasedness of the test, and shows that the LMP test can sometimes dominate the other tests only in a very restricted...

Sample size determination in the Mann–Whitney test

Andrzej Kornacki, Andrzej Bochniak, Agnieszka Kubik-Komar (2017)

Biometrical Letters

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This paper discusses the problem of determining the number of observations necessary to apply the nonparametric Mann-Whitney test. We describe the method given by Noether (1987) for determining a sample size which guarantees that the Mann-Whitney test at a given significance level α has a predetermined power 1-β. The presented theory is tested by calculating the empirical power in computer simulations. The paper also raises the issue of the method of rounding the determined sample size...