Controlling Familywise Error When Rejecting at Most One Null Hypothesis Each From a Sequence of Sub-Families of Null Hypotheses

Geoffrey I. Webb; Mark van der Laan

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arXiv · 1702.04025

Controlling Familywise Error When Rejecting at Most One Null Hypothesis Each From a Sequence of Sub-Families of Null Hypotheses

Geoffrey I. Webb·Mark van der Laan

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Abstract

We present a procedure for controlling FWER when sequentially considering successive subfamilies of null hypotheses and rejecting at most one from each subfamily. Our procedure differs from previous procedures for controlling FWER by adjusting the critical values that are applied in subsequent rejection decisions by subtracting from the global significance level $\alpha$ quantities based on the p-values of rejected null hypotheses and the numbers of null hypotheses considered.

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Geoffrey I. Webb, Mark van der Laan. 2017-02-13. Controlling Familywise Error When Rejecting at Most One Null Hypothesis Each From a Sequence of Sub-Families of Null Hypotheses. https://arxiv.org/abs/1702.04025

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