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A Unified Family of Covariate-Adjusted Response-Adaptive Designs Based on Efficiency and Ethics

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  • Jianhua Hu
  • Hongjian Zhu
  • Feifang Hu

Abstract

Response-adaptive designs have recently attracted more and more attention in the literature because of its advantages in efficiency and medical ethics. To develop personalized medicine, covariate information plays an important role in both design and analysis of clinical trials. A challenge is how to incorporate covariate information in response-adaptive designs while considering issues of both efficiency and medical ethics. To address this problem, we propose a new and unified family of covariate-adjusted response-adaptive (CARA) designs based on two general measurements of efficiency and ethics. Important properties (including asymptotic properties) of the proposed procedures are studied under categorical covariates. This new family of designs not only introduces new desirable CARA designs, but also unifies several important designs in the literature. We demonstrate the proposed procedures through examples, simulations, and a discussion of related earlier work.

Suggested Citation

  • Jianhua Hu & Hongjian Zhu & Feifang Hu, 2015. "A Unified Family of Covariate-Adjusted Response-Adaptive Designs Based on Efficiency and Ethics," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(509), pages 357-367, March.
    • Handle: RePEc:taf:jnlasa:v:110:y:2015:i:509:p:357-367
    DOI: 10.1080/01621459.2014.903846
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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. 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.
    3. Alessandro Baldi Antognini & Alessandra Giovagnoli, 2010. "Compound optimal allocation for individual and collective ethics in binary clinical trials," Biometrika, Biometrika Trust, vol. 97(4), pages 935-946.
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    Cited by:

    1. Hengtao Zhang & Guosheng Yin, 2021. "Response‐adaptive rerandomization," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(5), pages 1281-1298, November.
    2. Belmiro P. M. Duarte & Anthony C. Atkinson & David Pedrosa & Marlena van Munster, 2024. "Compound Optimum Designs for Clinical Trials in Personalized Medicine," Mathematics, MDPI, vol. 12(19), pages 1-20, September.
    3. Hai Zhu & Hongjian Zhu, 2023. "Covariate‐adjusted response‐adaptive designs based on semiparametric approaches," Biometrics, The International Biometric Society, vol. 79(4), pages 2895-2906, December.
    4. Yi, Yanqing & Wang, Xikui, 2023. "A Markov decision process for response adaptive designs," Econometrics and Statistics, Elsevier, vol. 25(C), pages 125-133.
    5. Waverly Wei & Xinwei Ma & Jingshen Wang, 2023. "Fair Adaptive Experiments," Papers 2310.16290, arXiv.org.

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