Abstract
It is often important to incorporate covariate information in the design of clinical trials. In literature there are many designs of using stratification and covariate-adaptive randomization to balance certain known covariate. Recently, some covariate-adjusted response-adaptive (CARA) designs have been proposed and their asymptotic properties have been studied (Ann. Statist. 2007). However, these CARA designs usually have high variabilities. In this paper, a new family of covariate-adjusted response-adaptive (CARA) designs is presented. It is shown that the new designs have less variables and therefore are more efficient.
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References
Bai Z D, Hu F, Rosenberger W F. Asymptotic properties of adaptive designs with delayed response, Ann Statist, 2002, 30: 122–139.
Eisele J, Woodroofe M. Central limit theorems for doubly adaptive biased coin designs, Ann Statist, 1995, 23: 234–254.
Hall P, Heyde C C. Martingale Limit Theory and its Applications, London: Academic Press, 1980.
Hu F, Rosenberger W F. Evaluating response-adaptive randomization procedures for treatment comparisons, J Amer Statist Assoc, 2003, 98: 671–678.
Hu F, Rosenberger W F. The Theory of Response-Adaptive Randomization in Clinical Trials, New York: John Wiley and Sons, 2006.
Hu F, Rosenberger W F, Zhang L X. Asymptotically best response-adaptive randomization procedures, J Statist Plan Inference, 2006, 136: 1911–1922.
Hu F, Zhang L X. Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials, Ann Statist, 2004, 32: 268–301.
Hu F, Zhang L X. Asymptotic normality of urn models for clinical trials with delayed response, Bernoulli, 2004, 10(3): 447–463.
Hu F, Zhang L X, He X. Efficient randomized adaptive designs, Ann Statist, To appear.
Pocock S J, Simon R. Sequential treatment assignment with balancing for prognostic factors in the controlled clinical trial, Biometrics, 1975, 31: 103–115.
Robbins H. Some aspects of the sequential design of experiments, Bull Amer Math Soc, 1952, 58: 527–535.
Rosenberger W F, Lachin J M. Randomization in Clinical Trials Theory and Practice, New York: John Wiley and Sons, 2002.
Rosenberger W F, Stallard N, Ivanova A, et al. Optimal adaptive designs for binary response trials, Biometrics, 2001, 57: 909–913.
Rosenberger W F, Vidyashankar A N, Agarwal D K. Covariate-adjusted response-adaptive designs for binary response, J Biopharm Statist, 2001, 11: 227–236.
Stout W F. Almost Sure Convergence, New York: Academic Press, 1974.
Taves D R. Minimization: a new method of assigning patients to treatment and control groups, Clin Pharm Ther, 1974, 15: 443–453.
Thompson W R. On the likelihood that one unknown probability exceeds another in the view of the evidence of the two samples, Biometrika, 1933, 25: 275–294.
Tymofyeyev Y, Rosenberger W F, Hu F. Implementing optimal allocation in sequential binary response experiments, J Amer Statist Assoc, 2007, 102: 224–234.
Zelen M. The randomization and stratification of patients to clinical trials, Journal of Chronic Diseases, 1974, 27: 365–375.
Zhang L X, Chan W S, Cheung S H, et al. A generalized urn model for clinical trials with delayed responses, Statistica Sinica, 2006, 17: 387–409.
Zhang L X, Hu F, Cheung S H, et al. Asymptotic properties of covariate-adjusted adaptive designs, Ann Statist, 2007, 35: 1166–1182.
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Partially supported by the National Natural Science Foundation of China (10771192)1; NSF Awards DMS-0349048 of USA2
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Zhang, LX., Hu, Ff. A new family of covariate-adjusted response adaptive designs and their properties. Appl. Math. J. Chin. Univ. 24, 1–13 (2009). https://doi.org/10.1007/s11766-009-0001-6
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DOI: https://doi.org/10.1007/s11766-009-0001-6