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Testing each hypothesis marginally at alpha while still controlling FWER: how and when.
- Source :
-
Statistics in Medicine . May2013, Vol. 32 Issue 10, p1730-1738. 9p. - Publication Year :
- 2013
-
Abstract
- This paper proposes a multiple testing procedure that allows one to reject each individual hypothesis at a prespecified level α, while still controlling the familywise error rate at α in the strong sense. Typically, rejecting a hypothesis when its marginal p-value is ⩽ α in a multiple hypothesis testing setting will lead to an inflation of familywise error rate. However, this inflation can be avoided if a particular consistency criterion is prespecified and incorporated in the testing algorithm. The criterion is equivalent to requiring that all p-values be smaller than or equal to a particular threshold in the one-sided hypothesis testing setting. Extensions to the two-sided hypothesis testing setting and extensions to situations where the criterion can be chosen per user's preference are also presented. Copyright © 2012 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02776715
- Volume :
- 32
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Statistics in Medicine
- Publication Type :
- Academic Journal
- Accession number :
- 87016298
- Full Text :
- https://doi.org/10.1002/sim.5488