JSM 2004 - Toronto

Abstract #301168

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Activity Number: 219
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: WNAR
Abstract - #301168
Title: On the Maximum Total Sample Size of a Group Sequential Test about Binomial Proportions
Author(s): Myron N. Chang*+ and James L. Kepner
Companies: University of Florida and Roswell Park Cancer Institution
Address: 104 N. Main St., Suite 600, Gainesville, FL, 32601,
Keywords: type 1-3 design ; power function ; uniformly most powerful test ; minimax design
Abstract:

It is well known that the standard single-stage binomial test is uniformerly most powerful to detect an increase or decrease in a binomial proportion. The general perception is that, to achieve a fixed significance level and power, a group sequential test will require a larger maximum total sample size than required by the corresponding standard single-stage test because missing observations are possible under the group sequential test setting. In this paper, it is proved that, under mild conditions, there exist group sequential tests which achieve the pre-designated significance level and power with maximum total sample size bounded above by the sample size for the corresponding standard single-stage test.

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