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Goodness-of-fit test for response adaptive clinical trials

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  • Yi, Yanqing
  • Wang, Xikui

Abstract

Much attention has been given in recent years to adaptive designs of clinical trials as ethical alternatives when the traditional randomization becomes ethically infeasible. But such designs create dependency among the collected data, and hence statistical methods for adaptive clinical trials are more complex than those for traditional randomized clinical trials. In this paper, we examine some extensions of common statistical methods for independent data. Under regularity conditions, the logarithm of likelihood ratio statistic 2ln[lambda] for dependent data is shown to be asymptotically chi-square distributed, providing a foundation for asymptotic analysis of adaptive clinical trials with k treatments. We also discuss both the consistency and the asymptotic normality of the maximum likelihood estimators for a wide class of adaptive designs.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:10:p:1014-1020
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    References listed on IDEAS

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    1. 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.
    2. Kiyoshi Inoue & Sigeo Aki, 2005. "A generalized Pólya urn model and related multivariate distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(1), pages 49-59, March.
    3. Smythe, R. T., 1996. "Central limit theorems for urn models," Stochastic Processes and their Applications, Elsevier, vol. 65(1), pages 115-137, December.
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    Cited by:

    1. Yi, Yanqing, 2013. "Exact statistical power for response adaptive designs," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 201-209.
    2. Tolusso, David & Wang, Xikui, 2011. "Interval estimation for response adaptive clinical trials," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 725-730, January.
    3. 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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