JSM 2005 - Toronto

Abstract #304269

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Activity Number: 487
Type: Contributed
Date/Time: Thursday, August 11, 2005 : 8:30 AM to 10:20 AM
Sponsor: Biopharmaceutical Section
Abstract - #304269
Title: Curtailment Procedure for Selecting among Bernoulli Populations
Author(s): Elena Buzaianu*+ and Pinyuen Chen
Companies: Syracuse University and Syracuse University
Address: 215 Carnegie Hall, Syracuse, NY, 13244, United States
Keywords: binomial ; selection ; curtailment
Abstract:

Dunnett (1984) proposed a fixed-sample-size procedure for selecting the population with the largest probability of a success among k experimental Bernoulli populations and a control Bernoulli population. For the same selection goal, we propose a vector at a time sampling rule, a curtailed stopping rule, and a terminal decision rule. In showing our curtailment procedure reaches the same probability of a correct selection as Dunnett's procedure, we follow the ideas presented by Bechhofer and Kulkarni (1982), who considered a curtailed version of the fixed-sample-size procedure proposed by Sobel and Hyuett (1957). We compute the expected sample sizes numerically for our procedure in various cases and compare them with those for the original procedure.

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