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Activity Number: 308
Type: Invited
Date/Time: Tuesday, July 31, 2012 : 10:30 AM to 12:20 PM
Sponsor: Health Policy Statistics Section
Abstract - #303568
Title: Exact Meta-Analysis Approach for the Common Odds Ratio of 2 × 2 Tables with Rare Events
Author(s): Minge Xie*+ and Dungang Liu and Regina Y Liu
Companies: Rutgers University and Rutgers University and Rutgers University
Address: Dept of Statistics, 501 Hill Center, Piscataway, NJ, 08854-8219,
Keywords: Confidence distribution ; Continuity correction for zero events ; Exact inference ; p-value function ; rare event study ; rosiglitazone study data

This talk proposes a new class of meta-analysis methods to making exact inference about the common odds ratio of a series of independent studies with their corresponding 2x2 tables. The methods can incorporate all available data in the analysis without using any artificial corrections, even in presence of zero event studies where both treatment and control arms observe zero events. Specifically, we combine significance functions obtained from an exact test associated with each of the 2x2 tables. This combining of functions is fundamentally different from that of combining point estimates in conventional approaches. An explicit formula is established for determining the type I error rate of the overall test from the tests associated with individual studies. This allows us to monitor the performance and devise further adjustments to improve the power of the overall inference. The proposed approach is shown to have good small sample properties. It is also shown to be efficient in a large sample setting. Numerical studies using simulated and real data demonstrate that the proposed approach is superior to Mantel-Haenszel and Peto methods in the presence of rare events.

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