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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Optimal testing of multiple hypotheses with common effect direction
Organization Unit
Authors
  • Richard M Bittman
  • Joseph P Romano
  • Carlos Vallarino
  • Michael Wolf
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Biometrika
Publisher Oxford University Press
Geographical Reach international
ISSN 0006-3444
Volume 96
Number 2
Page Range 399 - 410
Date 2009
Abstract Text We present a theoretical basis for testing related endpoints. Typically, it is known how to construct tests of the individual hypotheses, and the problem is how to combine them into a multiple test procedure that controls the familywise error rate. Using the closure method, we emphasize the role of consonant procedures, from an interpretive as well as a theoretical viewpoint, and introduce a new procedure, which is consonant and has a maximin property under the normal model. The results are then applied to PROactive, a clinical trial designed to investigate the effectiveness of a glucose-lowering drug on macrovascular outcomes among patients with type 2 diabetes.
Digital Object Identifier 10.1093/biomet/asp006
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Additional Information This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Biometrika following peer review. The definitive publisher-authenticated version Biometrika 2009 96(2):399-410; doi:10.1093/biomet/asp006 is available online at: http://biomet.oxfordjournals.org/cgi/content/abstract/96/2/399