Abstract #300206

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JSM 2003 Abstract #300206
Activity Number: 128
Type: Contributed
Date/Time: Monday, August 4, 2003 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #300206
Title: Eight Interval Estimators of a Common Rate Ratio under Stratified Poisson Sampling
Author(s): Kung-Jong Lui*+
Companies: San Diego State University
Address: Dept. of Mathematical and Computer Science, San Diego, CA, 92182,
Keywords: interval estimator ; score test ; likelihood ratio test ; Mantel-Haenszel estimator ; rate ratio ; Poisson sampling
Abstract:

Under the assumption that the rate ratio (RR) is constant across strata, we consider eight interval estimators of the RR under stratified Poisson sampling: the weighted least squares interval estimator with the logarithmic transformation, the interval estimator using the principle analogous to that of Fieller's Theorem, the interval estimators using Wald's statistic with and without the logarithmic transformation, the interval estimators using Mantel-Haenszel statistic with and without the logarithmic transformation, the score test-based interval estimator, and the asymptotic likelihood ratio test-based interval estimator. We apply Monte Carlo simulation to evaluate and compare the performance of these estimators with respect to the coverage probability and the average length in a variety of situations. To study the location of the confidence interval, we calculate the noncoverage probability in the two tails for each interval estimator. Finally, we use the data taken from a study of the postmenopausal hormone use on the risk of breast cancer in women as an example to illustrate the use of these interval estimators considered here.

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