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Exact statistical power for response adaptive designs

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  • Yi, Yanqing

Abstract

This paper develops a unified method to compute the exact statistical power for a general class of response adaptive designs including the randomized play-the-winner design, the drop-the-loser design, and the doubly biased coin design. The adaptation of treatment allocation in response adaptive designs is formulated as a Markov chain. The exact statistical power is computed based on the transition probability of the formulated Markov chain. The proposed approach is demonstrated through the ECMO trial example. The difference between the asymptotic and exact statistical power is also explored for large sample sizes.

Suggested Citation

  • Yi, Yanqing, 2013. "Exact statistical power for response adaptive designs," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 201-209.
    • Handle: RePEc:eee:csdana:v:58:y:2013:i:c:p:201-209
    DOI: 10.1016/j.csda.2012.09.003
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    References listed on IDEAS

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    1. Lanju Zhang & William F. Rosenberger, 2006. "Response-Adaptive Randomization for Clinical Trials with Continuous Outcomes," Biometrics, The International Biometric Society, vol. 62(2), pages 562-569, June.
    2. Anthony C. Atkinson & Atanu Biswas, 2005. "Bayesian Adaptive Biased-Coin Designs for Clinical Trials with Normal Responses," Biometrics, The International Biometric Society, vol. 61(1), pages 118-125, March.
    3. Yi, Yanqing & Wang, Xikui, 2007. "Goodness-of-fit test for response adaptive clinical trials," Statistics & Probability Letters, Elsevier, vol. 77(10), pages 1014-1020, June.
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    5. William F. Rosenberger & Nigel Stallard & Anastasia Ivanova & Cherice N. Harper & Michelle L. Ricks, 2001. "Optimal Adaptive Designs for Binary Response Trials," Biometrics, The International Biometric Society, vol. 57(3), pages 909-913, September.
    6. Hu, Feifang & Rosenberger, William F., 2003. "Optimality, Variability, Power: Evaluating Response-Adaptive Randomization Procedures for Treatment Comparisons," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 671-678, January.
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    Cited by:

    1. Yi, Yanqing & Wang, Xikui, 2023. "A Markov decision process for response adaptive designs," Econometrics and Statistics, Elsevier, vol. 25(C), pages 125-133.

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