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First published on March 28, 2008
Statistical Methods in Medical Research 2008, doi:10.1177/0962280207081606
© 2008 SAGE Publications

Article

Stratified and randomized play-the-winner rule

Yuanyuan Liang1 and Kimmie Chough Carriere2*

1 Alberta Research Centre for Child Health Evidence, Department ofPediatrics, University of Alberta, Edmonton, Alberta, Canada
2 Department of Mathematical and Statistical Sciences, University of Alberta,Edmonton, Alberta, Canada

* To whom correspondence should be addressed.


  Abstract

In this paper, a new allocation rule for treatment assignments in sequential clinical trials isproposed. The stratified and randomized play-the-winner rule (SRPWR) is anextension of the randomized play-the-winner rule to more than two treatments. It isapplicable to cases where the probabilities of success of a treatment depend on bothtreatments and known confounders (e.g., patient`s age, gender and disease status). On average, demonstrate that the SRPWR assigns more patients to the better treatment, while eliminating the selection bias and allowing delayed responses to treatments.


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