An optimal response adaptive biased coin design with k heteroscedastic treatments |
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Authors: | Thomas E. GwiseJianhui Zhou Feifang Hu |
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Affiliation: | a Food and Drug Administration, USA b Department of Statistics, P.O. Box 400135 Kerchof Hall, University of Virginia, Charlottesville, VA 22904-4135, USA |
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Abstract: | For comparing treatments in clinical trials, Atkinson (1982) introduced optimal biased coins for balancing patients across treatment assignments by using D-optimality under the assumption of homoscedastic responses of different treatments. However, this assumption can be violated in many real applications. In this paper, we relax the homoscedasticity assumption in the k treatments setting with k>2. A general family of optimal response adaptive biased coin designs are proposed following Atkinson's procedure. Asymptotic properties of the proposed designs are obtained. Some advantages of the proposed design are discussed. |
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Keywords: | Heteroscedasticity k treatments Response adaptive design |
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