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Sequential Analysis
Design Methods and Applications
Volume 28, 2009 - Issue 4
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Original Articles

Approximately Optimal Continuous Stopping Boundaries in a One-Sided Standard Sequential Test

Pages 426-433 | Received 05 May 2008, Accepted 15 Jun 2009, Published online: 20 Oct 2009
 

Abstract

In clinical trials, continuous monitoring is required when a large but nonsignificant test statistic is observed at an interim analysis. We consider a power family of continuous stopping boundaries that are optimal in the sense that they minimize the average stopping time for the given overall Type I error rate and power. The problem is formulated as a constrained optimization problem and is solved numerically using the differential evolution algorithm. The main results are the ready-to-use approximately optimal continuous stopping boundaries for a wide range of values of power and the most commonly used overall levels of significance.

ACKNOWLEDGMENTS

This research is supported by a Davis Fellowship, awarded by the College of Business Administration, Rider University. I thank Dr. Benjamin H. Eichhom for helpful discussions.

Notes

Recommended by Nitis Mukhopadhyay

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