Robust Bayesian sample size determination for avoiding the range of equivalence in clinical trials

Journal of Statistical Planning and Inference

Volumn 138, Issue 6, 2008, Pages 1577-1591

  Brutti, Pierpaolo ^a   De Santis, Fulvio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bayesian power; Bayesian robustness; Clinical trials; Evidence; Predictive analysis; Sample size determination; Superiority trials.

Indexed keywords

EID: 39449122691     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.05.041     Document Type: Article

References (28)

1. Adcock C.J. Sample size determination: a review. Statistician 46 (1997) 261-283
2. Armitage P., Berry G., and Matthews J.N.S. Statistical Methods in Medical Research. IV ed (2002), Blackwell Science, Oxford
3. Berger J.O. The robust Bayesian viewpoint (with discussion). In: Kadane J. (Ed). Robustness of Bayesian Analysis (1984), North-Holland, Amsterdam
4. Berger J.O. Robust Bayesian analysis: sensitivity to the prior. J. Statist. Plann. Inference 25 (1990) 303-328
5. Berger J.O., Rios Insua D., and Ruggeri F. Bayesian robustness. In: Rios D., and Ruggeri F. (Eds). Robust Bayesian analysis, Lecture Notes in Statistics vol. 152 (2000), Springer, New York 1-32
6. Carlin, B.P., Perez, M.E., 2000. Robust Bayesian analysis in medical and epidemiological settings. In: Rios, D., Ruggeri, F., (Eds.), Robust Bayesian analysis, Lecture Notes in Statistics, vol. 152. Springer-Verlag, New York.
7. Chaloner K., and Verdinelli I. Bayesian experimental design: a review. Statist. Sci. 10 (1995) 237-308
8. Clarke B.S., and Yuan A. Closed form expressions for Bayesian sample size. Ann. Statist. 34 3 (2006) 1293-1330
9. DasGupta, A., 1996. Review of optimal Bayes designs. Design and analysis of experiments. Handbook of Statistics, vol. 13. pp. 1099-1147.
10. DasGupta A., and Mukhopadhyay S. Uniform and subuniform posterior robustness: the sample size problem. J. Statist. Plann. Inference 40 (1994) 189-200
11. DasGupta A., and Studden W.J. Robust Bayesian experimental designs in normal linear models. Ann. Statist. 19 3 (1991) 1244-1256
12. De Santis F. Sample size determination for robust Bayesian analysis. J. Amer. Statist. Assoc. 101 473 (2006) 278-291
13. De Santis, F., Perone Pacifico, M., 2003. Two experimental settings in clinical trials: predictive criteria for choosing the sample size in interval estimation. In: Di Bacco, M., et al. (Eds.), Applied Bayesian Statistical Studies in Biology and Medicine. Kluwer Academic Publishers, Norwell, MA, USA.
14. Etzioni R., and Kadane J.B. Optimal experimental design for another's analysis. J. Amer. Statist. Assoc. 88 424 (1993) 1404-1411
15. Fayers P.M., Cuschieri A., Fielding J., Craven J., Uscinska B., and Freedman L.S. Sample size calculation for clinical trials: the impact of clinicians beliefs. British J. Cancer 82 (2000) 213-219
16. Greenhouse J.B., and Wasserman L. Robust Bayesian methods for monitoring clinical trials. Statist. Med. 14 (1995) 1379-1391
17. Ianus, I., 2000. Approximate robust Bayesian inference with applications to sample size calculation. Ph.D Thesis, Department of Statistics, Carnegie Mellon University.
18. Joseph L., and Belisle P. Bayesian sample size determination for normal means and difference between normal means. Statistician 46 (1997) 209-226
19. Joseph L., du Berger R., and Belisle P. Bayesian and mixed Bayesian/likelihood criteria for sample size determination. Statist. Med 16 (1997) 769-781
20. Julious S.A. Sample sizes for clinical trials for normal data. Statist. Med. 23 (2004) 1921-1986
21. Kass R.E., and Wasserman L. A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion. J. Amer. Statist. Assoc. 90 (1995) 928-934
22. Lindley D.V. The choice of sample size. Statistician 46 (1997) 129-138
23. O'Hagan A., and Stevens J.W. Bayesian assessment of sample size for clinical trials for cost effectiveness. Med. Decision Making 21 (2001) 219-230
24. Sahu S.K., and Smith T.M.F. A Bayesian method of sample size determination with practical applications. J. Roy. Statist. Soc. Ser. A 169 2 (2006) 235-253
25. Spiegelhalter D.J., and Freedman L.S. A predictive approach to selecting the size of a clinical trial, based on subjective clinical opinion. Statist. Med. 5 (1986) 1-13
26. Spiegelhalter D.J., Abrams K.R., and Myles J.P. Bayesian Approaches to Clinical Trials and Health-Care Evaluation (2004), Wiley, New York
27. Tsutakawa R.K. Design of experiment for bioassay. J. Amer. Statist. Assoc. 67 339 (1972) 584-590
28. Wang F., and Gelfand A.E. A simulation-based approach to Bayesian sample size determination for performance under a given model and for separating models. Statist. Sci. 17 2 (2002) 193-208