Bayesian adaptive biased-coin designs for clinical trials with normal responses

Biometrics

Volumn 61, Issue 1, 2005, Pages 118-125

  Atkinson, Anthony C ^a   Biswas, Atanu ^b  

^a LONDON SCHOOL OF ECONOMICS   (United Kingdom)

^b INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Bayesian biased coin; DA optimal design; Limiting allocation proportion; Minimization; Randomization; Regularization

Indexed keywords

A-OPTIMAL DESIGNS; ADAPTIVE DESIGNS; BAYESIAN; BAYESIAN BIASED-COIN; CLINICAL TRIAL; DA-OPTIMAL DESIGN; LIMITING ALLOCATION PROPORTION; MINIMISATION; RANDOMISATION; REGULARISATION;

STATISTICS;

FLUOXETINE;

BAYESIAN ANALYSIS; SKEWNESS;

ARTICLE; BAYES THEOREM; CLINICAL TRIAL; MATHEMATICAL COMPUTING; METHODOLOGY; STATISTICAL DISTRIBUTION;

EID: 15044349390     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2005.031002.x     Document Type: Article

References (22)

1. Antognini, A. B. and Giovagnoli, A. (2004). On the large sample optimality of sequential designs for comparing two treatments. Submitted.
2. Atkinson, A. C. (1982). Optimum biased coin designs for sequential clinical trials with prognostic factors. Biometrika 69, 61-67.
3. Atkinson, A. C. (2002). The comparison of designs for sequential clinical trials with covariate information. Journal of the Royal Statistical Society, Series A 165, 349-373.
4. Atkinson, A. C. (2003). Horwitz's rule, transforming both sides and the design of experiments for mechanistic models. Applied Statistics 52, 261-278.
5. Bai, Z. D., Hu, F., and Rosenberger, W. F. (2002). Asymptotic properties of adaptive designs for clinical trials with delayed response. Annals of Statistics 30, 122-139.
6. Ball, F. G., Smith, A. F. M., and Verdinelli, I. (1993). Biased coin designs with a Bayesian bias. Journal of Statistical Planning and Inference 34, 403-421.
7. Bandyopadhyay, U. and Biswas, A. (2001). Adaptive designs for normal responses with prognostic factors. Biometrika 88, 409-419.
8. Begg, C. B. (1990). On inference from Wei's biased coin design for clinical trials (with discussion). Biometrika 77, 467-484.
9. Burman, C.-F. (1996). On Sequential Treatment Allocations in Clinical Trials. Göteborg: Department of Mathematics.
10. Connor, E. M., Sperling, R. S., Gelber, R., Kiselev, P., Scott, G., O'Sullivan, M. J., Vandyke, R., Bey, M., Shearer, W., Jacobson, R. I., Jiminez, E., O'Neill, E., Bazin, B., Delfraissy, J., Culname, M., Coombs, R., Elkins, M., Moye, J., Stratton, P., and Balsey, J. (1994). Reduction of maternal-infant transmission of human immunodeficiency virus type 1 with zidovudine treatment. New England Journal of Medicine 331, 1173-1180.
11. Cox, D. R. (1988). A note on design when response has an exponential family distribution. Biometrika 75, 161-164.
12. Hu, F. and Rosenberger, W. F. (2003). Optimality, variability, power: Evaluating response-adaptive randomization procedures for treatment comparisons. Journal of the American Statistical Association 98, 671-678.
13. Matthews, J. N. S. (2000). An Introduction to Randomized Controlled Clinical Trials. London: Edward Arnold.
14. Rosenberger, W. F. (1993). Asymptotic inference with response-adaptive treatment allocation designs. Annals of Statistics 21, 2098-2107.
15. Rosenberger, W. F. and Lachin, J. L. (2002). Randomization in Clinical Trials: Theory and Practice. New York: Wiley.
16. Rosenberger, W. F. and Sriram, T. N. (1997). Estimation for an adaptive allocation design. Journal of Statistical Planning and Inference 59, 309-319.
17. Rosenberger, W. F., Stallard, N., Ivanova, A., Harper, C. N., and Ricks, M. L. (2002). Optimal adaptive designs for binary response trials. Biometrics 57, 909-913.
18. Tamura, R. N., Faries, D. E., Andersen, J. S., and Heiligenstein, J. H. (1994). A case study of an adaptive clinical trial in the treatment of out-patients with depressive disorder. Journal of the American Statistical Association 89, 768-776.
19. Wei, L. J. (1988). Exact two-sample permutation tests based on the randomized play-the-winner rule. Biometrika 75, 603-606.
20. Wei, L. J., Smythe, R. T., Lin, D. Y., and Park, T. S. (1990). Statistical inference with data-dependent treatment allocation rules. Journal of the American Statistical Association 85, 156-162.
21. Yao, Q. and Wei, L. J. (1996). Play the winner for phase II/III clinical trials. Statistics in Medicine 15, 2413-2423.
22. Zelen, M. and Wei, L. J. (1995). Foreword. In Adaptive Designs, N. Flournoy and W. F. Rosenberger (eds). Hayward, California: IMS.