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Response adaptive procedures with dual optimality

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  • Uttam Bandyopadhyay
  • Rahul Bhattacharya

Abstract

The paper proposes an optimal response‐adaptive procedure for a general class of responses using a combination of two clinically relevant optimality criteria. We provide a thorough development for trials involving two treatments and sketch the possible extension for multiple treatments. Some related asymptotic results are worked out. We provide simulation studies to compare the performance of the proposed procedure with some of the existing competitors. We illustrate our methodology on data from a real clinical trial.

Suggested Citation

  • Uttam Bandyopadhyay & Rahul Bhattacharya, 2009. "Response adaptive procedures with dual optimality," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(3), pages 353-367, August.
    • Handle: RePEc:bla:stanee:v:63:y:2009:i:3:p:353-367
    DOI: 10.1111/j.1467-9574.2009.00428.x
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    References listed on IDEAS

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    1. Tymofyeyev, Yevgen & Rosenberger, William F. & Hu, Feifang, 2007. "Implementing Optimal Allocation in Sequential Binary Response Experiments," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 224-234, March.
    2. Bélisle, Claude & Melfi, Vince, 2008. "Independence after adaptive allocation," Statistics & Probability Letters, Elsevier, vol. 78(3), pages 214-224, February.
    3. 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.
    4. 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.
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