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Towards an uniformly most powerful binomial test

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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-\(\alpha \) test with \(\alpha \) 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.

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Acknowledgements

This research work is/was funded by Bundesministerium für Landwirtschaft und Ernährung, Deichmanns Aue 29, 53168 Bonn.

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Authors and Affiliations

  1. Technical University of Munich, Am Staudengarten 2, 85354, Freising, Germany

    Sascha Wörz & Heinz Bernhardt

Authors
  1. Sascha Wörz
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  2. Heinz Bernhardt
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Correspondence to Sascha Wörz.

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Wörz, S., Bernhardt, H. Towards an uniformly most powerful binomial test. Stat Papers 61, 2149–2156 (2020). https://doi.org/10.1007/s00362-018-1029-6

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  • DOI: https://doi.org/10.1007/s00362-018-1029-6

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