Abstract #301029

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JSM 2003 Abstract #301029
Activity Number: 473
Type: Contributed
Date/Time: Thursday, August 7, 2003 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #301029
Title: The Analysis of Stratified 2 x 2 Contingency Tables
Author(s): Anna Osmoukhina*+ and Vance Berger
Companies: University of Maryland, Baltimore County and National Cancer Institute
Address: 4001 Colchester Rd., Baltimore, MD, 21229-4900,
Keywords: admissibility ; binary data ; clinical trial ; common odds ratio ; omnibus test
Abstract:

We consider the problem of testing for independence against the consistent superiority of one treatment over another when the response variable is binary and is compared across two treatments in each of several strata. Specifically, we consider the randomized clinical trial setting. A number of issues arise in this context. First, should tables be combined if there are small or zero margins? Second, should one assume a common odds ratio across strata? Third, if the odds ratios differ across the strata, then how does the standard test (based on a common odds ratio) perform? Fourth, are there other analyses that are more appropriate for handling a situation in which the odds ratios may differ across strata? In addressing these issues, we find that the frequently used Cochran-Mantel-Haenszel test may have a poor power profile, despite being optimal when the odds ratios are common. We develop novel tests that are analogous to the Smirnov, modified Smirnov, convex hull, and adaptive tests that have been proposed for ordered categorical data.

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