A One-Sample Analogue of a Theorem of Jurečkova

Constance Van Eeden

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Goodness-of-fit tests based on sample space partitions: A unifying overview.

Thas, O., Ottoy, J. P. (2002)

Journal of Applied Mathematics and Decision Sciences

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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...

Some aspects of the conditional inference when the sample size is random.

A.K.P.C. Swain (1983)

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The conditional test is compared with other relevant test procedures for testing parameters of Normal and Exponential populations. It is seen that under certain conditions the conditional test is more powerful than the relevant unconditional tests. An example is provided where the conditional test given the ancillary is uniformaly more powerful than the obvious unconditional test.