The Neyman-Pearson Lemma is a powerful fundamental lemma in the area of hypothesis testing in Statistics. It gives the best test when testing simple vs. simple hypotheses. In this talk we would like to investigate testing a population mean H0 μ = μ0 vs. H1 μ = μ1 > μ0. As a result of the N-P Lemma, the best test is of the form, “Reject H0 if x>c” , where c is chosen so that the Type I error probability is a. Let n be small. What are some alternative decision rules of size a, what is their power in comparison to the best test? The talk should be of interest to a person who has had a first course in Probability and Statistics.
Wetzell, David E., "Insights on the Neyman - Pearson Lemma: Alternative critical regions, and their power." (2013). ACMS Conference Proceedings 2013. 27.
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