UZH-Logo

Maintenance Infos

Optimal testing of multiple hypotheses with common effect direction


Bittman, Richard M; Romano, Joseph P; Vallarino, Carlos; Wolf, Michael (2008). Optimal testing of multiple hypotheses with common effect direction. Working paper series / Institute for Empirical Research in Economics No. 307, University of Zurich.

Abstract

We present a theoretical basis for testing related endpoints. Typically, it is known hownto 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. Suprisingly, even if each intersection test has an optimality property, the overallnprocedure obtained by applying closure to these tests may be inadmissible. We introduce annew 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 effectivenessnof a glucose-lowering drug on macrovascular outcomes among patients with type 2 diabetes.n

We present a theoretical basis for testing related endpoints. Typically, it is known hownto 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. Suprisingly, even if each intersection test has an optimality property, the overallnprocedure obtained by applying closure to these tests may be inadmissible. We introduce annew 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 effectivenessnof a glucose-lowering drug on macrovascular outcomes among patients with type 2 diabetes.n

Downloads

412 downloads since deposited on 29 Nov 2011
81 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Working Paper
Communities & Collections:03 Faculty of Economics > Department of Economics
Working Paper Series > Institute for Empirical Research in Economics (former)
Dewey Decimal Classification:330 Economics
Language:English
Date:July 2008
Deposited On:29 Nov 2011 22:47
Last Modified:05 Apr 2016 15:11
Series Name:Working paper series / Institute for Empirical Research in Economics
ISSN:1424-0459
Official URL:http://www.econ.uzh.ch/wp.html
Permanent URL: https://doi.org/10.5167/uzh-52263

Download

[img]
Preview
Filetype: PDF
Size: 199kB

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations