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Multiple Tests of a Non-Hierarchical Finite Family of Hypotheses

Wei Liu

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1996 · Volume 58 · Issue 2

DOI: 10.1111/j.2517-6161.1996.tb02093.x

Abstract

This paper considers the problem of simultaneously testing a non-hierarchical finite family of hypotheses. Several definitions have been introduced. They are used to shed interesting light on the interrelationship between the four types of test that have previously been proposed.

Keywords

multiple tests, non-hierarchical family of hypotheses, type i familywise error

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