Asymptotic properties of covariate-adjusted response-adaptive designs

Annals of Statistics

Volumn 35, Issue 3, 2007, Pages 1166-1182

  Zhang, L I Xin ^a   Hu, Feifang ^b   Cheung, Siu Hung ^c   Chan, Wai Sum ^c  

^a ZHEJIANG UNIVERSITY   (China)

^b UNIVERSITY OF VIRGINIA   (United States)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Adaptive designs; Asymptotic normality; Clinical trial; Covariate information; Generalized linear model; Logistic regression

Indexed keywords

EID: 49749083076     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000001424     Document Type: Article

References (27)

1. ATKINSON, A. C. (1982). Optimal biased coin designs for sequential clinical trials with prognostic factors. Biometrika 69 61-67. MR0655670
2. ATKINSON, A. C. (1999). Optimal biased-coin designs for sequential treatment allocation with covariate information. Stat. Med. 18 1741-1752.
3. ATKINSON, A. C. (2002). The comparison of designs for sequential clinical trials with covariate information. J. Roy. Statist. Soc. Ser. A 165 349-373. MR1904822
4. ATKINSON, A. C. (2004). Adaptive biased-coin designs for clinical trials with several treatments. Discuss. Math. Probab. Statist. 24 85-108. MR2118925
5. ATKINSON, A. C. and BISWAS, A. (2005). Adaptive biased-coin designs for skewing the allocation proportion in clinical trials with normal responses. Stat. Med. 24 2477-2492. MR2112377
6. ATKINSON, A. C. and BISWAS, A. (2005). Bayesian adaptive biased-coin designs for clinical trials with normal responses. Biometrics 61 118-125. MR2135851
7. BALDI ANTOGNINI, A. and GIOVAGNOLI, A. (2005). On the large sample optimality of sequential designs for comparing two or more treatments. Sequential Anal. 24 205-217. MR2154938
8. BANDYOPADHYAY, U. and BISWAS, A. (1999). Allocation by randomized, play-the-winner rule in the presence of prognostic factors. Sankhyā Ser. B 61 397-412. MR1745743
9. BANDYOPADHYAY, U. and BISWAS, A. (2001). Adaptive designs for normal responses with prognostic factors. Biometrika 88 409-419. MR1844841
10. EISELE, J. and WOODROOFE, M. (1995). Central limit theorems for doubly adaptive biased coin designs. Ann. Statist. 23 234-254. MR1331666
11. EFRON, B. (1971). Forcing a sequential experiment to be balanced. Biometrika 58 403-417. MR0312660
12. HALL, P. and HEYDE, C. C. (1980). Martingale Limit Theory and Its Application. Academic Press, New York. MR0624435
13. HU, F. and ROSENBERGER, W. F. (2003). Optimality, variability, power: Evaluating response-adaptive randomization procedures for treatment comparisons. J. Amer. Statist. Assoc. 98 671-678. MR2011680
14. HU, F. and ZHANG, L.-X. (2004). Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials. Ann. Statist. 32 268-301. MR2051008
15. JENNISON, C. and TURNBULL, B. W. (2000). Group Sequential Methods with Applications to Clinical Trials. Chapman and Hall/CRC, Boca Raton, FL. MR1710781
16. MCCULLAGH, P. and NELDER, J. A. (1989). Generalized Linear Models, 2nd ed. Chapman and Hall, London.
17. POCOCK, S. J. and SIMON, R. (1975). Sequential treatment assignment with balancing for prognostic factors in the controlled clinical trial. Biometrics 31 103-115.
18. ROBBINS, H. (1952). Some aspects of the sequential design of experiments. Bull. Amer. Math. Soc. 58 527-535. MR0050246
19. ROSENBERGER, W. F., FLOURNOY, N. and DURHAM, S. D. (1997). Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs. J. Statist. Plann. Inference 60 69-76. MR1453033
20. ROSENBERGER, W. F. and HU, F. (2004). Maximizing power and minimizing treatment failures in clinical trials. Clinical Trials 1 141-147.
21. ROSENBERGER, W. F. and HU, M. X. (2002). On the use of generalized linear models following a sequential design. Statist. Probab. Lett. 56 155-161. MR1881169
22. ROSENBERGER, W. F., VIDYASHANKAR, A. N. and AGARWAL, D. K. (2002). Covariate-adjusted response-adaptive designs for binary response. J. Biopharm. Statist. 11 227-236.
23. THOMPSON, W. R. (1933). On the likelihood that one unknown probability exceeds another in view of the evidence of two samples. Biometrika 25 285-294.
24. WEI, L. J. and DURHAM, S. (1978). The randomized pay-the-winner rule in medical trials. J. Amer. Statist. Assoc. 73 840-843.
25. ZELEN, M. (1969). Play the winner rule and the controlled clinical trial. J. Amer. Statist. Assoc. 64 131-146. MR0240938
26. ZELEN, M. (1974). The randomization and stratification of patients to clinical trials. J. Chronic Diseases 27 365-375.
27. ZELEN, M. and WEI, L. J. (1995). Foreword. In Adaptive Designs (N. Flournoy and W. F. Rosenberger, eds.) IMS, Hayward, CA.