An Optimal Three Treatment Allocation for Binary Treatment Responses

ABSTRACT

An optimal target proportion is derived balancing between the needs of clinician and statistician considering a general criterion and binary treatment outcome. A response-adaptive procedure based on this optimal proportion is developed and the associated limiting results are derived. In addition, the proposed procedure is compared with the existing competitors.

KEYWORDS:

• Optimality
• Response-adaptive allocation

Acknowledgment

The authors would like to thank the anonymous reviewers, the editor and the associate editor for their insightful comments which led to an improvement over the earlier versions of the work.