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Optimal testing of multiple hypotheses with common effect direction


Bittman, Richard M; Romano, Joseph P; Vallarino, Carlos; Wolf, Michael (2009). Optimal testing of multiple hypotheses with common effect direction. Biometrika, 96(2):399-410.

Abstract

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.

Abstract

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.

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11 citations in Web of Science®
12 citations in Scopus®
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51 downloads since deposited on 22 Jul 2009
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Economics
Dewey Decimal Classification:330 Economics
Language:English
Date:21 April 2009
Deposited On:22 Jul 2009 05:25
Last Modified:06 Dec 2017 20:09
Publisher:Oxford University Press
ISSN:0006-3444
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
Publisher DOI:https://doi.org/10.1093/biomet/asp006
Official URL:http://biomet.oxfordjournals.org/cgi/content/abstract/96/2/399

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