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Towards an uniformly most powerful binomial test

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In this paper, an approach towards an uniformly most powerful binomial test is presented. It generalizes the well-known binomial test in that way that it is an uniformly most powerful… Click to show full abstract

In this paper, an approach towards an uniformly most powerful binomial test is presented. It generalizes the well-known binomial test in that way that it is an uniformly most powerful size-$$\alpha $$α test with $$\alpha $$α the significance level. An illustrative statistical example both clarifies the theoretical approach towards such a test and shows the usefulness of our approach in quality management.

Keywords: test; binomial test; towards uniformly; uniformly powerful; powerful binomial; approach

Journal Title: Statistical Papers
Year Published: 2018

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