JSM 2004 - Toronto

Abstract #300415

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Activity Number: 382
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #300415
Title: Interval Estimation of the Difference in Proportions under M-to-one Matching
Author(s): Kung-Jong Lui*+
Companies: San Diego State University
Address: 5500 Campanile Dr., San Diego, CA, 92182-7720,
Keywords: simple difference ; multiple matching ; interval estimation ; efficiency ; coverage probability
Abstract:

We focus interval estimation on the difference in proportions for m-to-one matching. We consider four asymptotic interval estimators, including the estimator directly using the Mantel-Haenszel (MH) point estimator, the estimator using the transformation to improve the normal approximation, the estimator derived from the Cochran-Mantel-Haenszel (CMH) statistic for stratified randomized trials, and the estimator derived from a quadratic equation. To evaluate and compare the performance of these estimators, we employ Monte Carlo simulation. We find that the estimator directly using the MH estimator can have the coverage probability less than the desired confidence level when the number of matched sets is small. We note that the estimator derived from the quadratic equation can actually perform well when the underlying difference is close to 0 even for a small number of matched sets. However, this estimator tends to have the coverage probability less than the desired confidence level as well when the underlying difference in porportons is large. We note that the estimator using the transformation consistently outperforms the interval estimator directly using the MH estimators.

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