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Optimal adaptive generalized Polya urn design for multi-arm clinical trials

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  • Yuan, Ao
  • Chai, Gen Xiang
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    Abstract

    A class of optimal adaptive multi-arm clinical trial designs is proposed based on an extended generalized Polya urn (GPU) model. The design is applicable to both the qualitative and quantitative responses and achieves, asymptotically, some pre-specified optimality criterion. Such criterion is specified by a functional of the response distributions and is implemented through the relationship between the design matrix and its first eigenvector. The asymptotic properties of the design are studied using the existing methods on GPU. Some examples for commonly used clinical designs are given as illustration.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 99 (2008)
    Issue (Month): 1 (January)
    Pages: 1-24

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    Handle: RePEc:eee:jmvana:v:99:y:2008:i:1:p:1-24

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    Related research

    Keywords: Generalized Polya urn Martingale Multi-arm clinical trial Optimality;

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