Special Issue Paper
Article first published online: 16 JUL 2012
Copyright © 2012 John Wiley & Sons, Ltd.
Statistics in Medicine
Special Issue: Papers from the Joint EMA, ISBS and DR-IBS International Symposium on Biopharmaceutical Statistics: Bridging Drug Development from Research to Marketing
Volume 32, Issue 10, pages 1730–1738, 10 May 2013
How to Cite
Li, J. (2013), Testing each hypothesis marginally at alpha while still controlling FWER: how and when. Statist. Med., 32: 1730–1738. doi: 10.1002/sim.5488
- Issue published online: 17 APR 2013
- Article first published online: 16 JUL 2012
- Manuscript Accepted: 16 MAY 2012
- Manuscript Received: 31 MAY 2011
- multiple testing procedure;
- familywise error rate;
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.