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Biometrika Advance Access originally published online on January 24, 2008
Biometrika 2008 95(1):248-252; doi:10.1093/biomet/asm085
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© 2008 Biometrika Trust

Miscellanea

Testing hypotheses in order

Paul R. Rosenbaum

Department of Statistics, Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6340, U.S.A. rosenbaum{at}stat.wharton.upenn.edu

Received for publication 1 February 2007. Revision received 1 June 2007.

In certain circumstances, one wishes to test one hypothesis only if certain other hypotheses have been rejected. This ordering of hypotheses simplifies the task of controlling the probability of rejecting any true hypothesis. In an example from an observational study, a treated group is shown to be further from both of two control groups than the two control groups are from each other.

Key Words: Multiparameter hypothesis • Multiple control groups • Observational study • Ordered family of hypotheses



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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
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Right arrow Articles by Rosenbaum, P. R.
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What's this?