Cuilan Zhang : Optimal Allocation of Subjects to Multiple Treatments with Weibull Models

Posted by , part of the Statistics and Data Science Seminar.

At

Feb. 3, 2010, 3 p.m.

In

SEO 636

Abstract

In clinical trials, it is important to find optimal allocation strategies to control the trials and benefit the participants. In our paper, we obtained explicit optimal allocation strategies for multiple treatments(2 and 3 treatments), in order to minimize expected total number of responses larger than a threshold, while guaranteeing a minimum power for the hypothesis that all treatments follow the same distribution. The assumed distributions are the standard Weibull models with common shape parameter. This optimal allocation strategy can be implemented by Doubly- biased coin design sequentially.