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Activity Number: 115
Type: Contributed
Date/Time: Monday, August 3, 2009 : 8:30 AM to 10:20 AM
Sponsor: WNAR
Abstract - #303990
Title: Multinomial Group Sequential Design with Exact Method
Author(s): Jiang Hu*+ and Aiyi Liu and Chengqing Wu
Companies: FDA and National Institute of Child Health and Human Development and Yale University
Address: 1401 Rockville Pike, 400S, Rockville, MD, 20852-1448,
Keywords: group sequential design ; exact method ; multinomial data ; parameter estimation
Abstract:

Group sequential testing has been widely applied in clinical trials to reduce the expected sample size. However, most group sequential designs were developed for normally distributed or simple binary data. In this paper we focus on analyzing and formulating group sequential designs and terminal point estimation for multinomial data. We first investigate group sequential design and parameter estimation for binomial data and then expand to multinomial data with exact distributions. The group sequential design involves determining the stopping regions and critical values. The MLE, a Whitehead bias-adjusted estimator and a Rao-Blackwell unbiased estimator are developed and studied. Numerical simulations are implemented to compare the performance of group sequential designs with exact method and that of group sequential designs with normal approximation method for multinomial data.


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