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A comprehensive error rate for multiple testing

Author

Listed:
  • Djalel-Eddine Meskaldji

    (École Polytechnique Fédérale de Lausanne (EPFL)
    École Polytechnique Fédérale de Lausanne (EPFL)
    École Polytechnique Fédérale de Lausanne (EPFL))

  • Dimitri Van De Ville

    (University of Geneva
    École Polytechnique Fédérale de Lausanne (EPFL))

  • Jean-Philippe Thiran

    (École Polytechnique Fédérale de Lausanne (EPFL))

  • Stephan Morgenthaler

    (École Polytechnique Fédérale de Lausanne (EPFL))

Abstract

Over the last two decades, a large variety of type I error rates and control procedures have been proposed in the field of multiple hypotheses testing. This paper proposes a framework that includes many existing proposals by investigating procedures in which the ordered p-values are compared to an arbitrary positive and non-decreasing threshold sequence. For this case, we derive the error rate being controlled under different assumptions on the p-values. Our focus will be on step-up procedures. The new formulation gives insight into the relations between existing error rates and opens new perspectives for the whole field of multiple testing.

Suggested Citation

  • Djalel-Eddine Meskaldji & Dimitri Van De Ville & Jean-Philippe Thiran & Stephan Morgenthaler, 2020. "A comprehensive error rate for multiple testing," Statistical Papers, Springer, vol. 61(5), pages 1859-1874, October.
    • Handle: RePEc:spr:stpapr:v:61:y:2020:i:5:d:10.1007_s00362-018-1008-y
    DOI: 10.1007/s00362-018-1008-y
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    References listed on IDEAS

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