On the limiting behavior of the "Probability of claiming superiority" in a bayesian context

Bayesian Analysis

Volumn 8, Issue 1, 2013, Pages 221-232

  Eaton, Morris L ^a   Muirhead, Robb J ^b   Soaita, Adina I ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b Statistical Consultant   (United States)

^c Pzer Inc   (United States)

Author keywords

Average power; Bayesian design; Bayesian hypothesis testing; Clinical trials; Probability of a successful trial; Sample size determination

Indexed keywords

EID: 84875091527     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/13-BA809     Document Type: Article

References (9)

1. Billingsley, P. (1968). Convergence of Probability Measures. New York: Wiley.
2. Blackwell, D. and Dubins, L. (1962). "Merging of opinions with increasing information." Annals of Mathematical Statistics, 33: 882-886.
3. Brutti, P., De Santis, F., and Gubiotti, S. (2008). "Robust Bayesian sample size determination in clinical trials." Statistics in Medicine, 27: 2290-2306.
4. Doob, J. L. (1949). "Application of the theory of martingales." In Le Calcul des Probabilites et ses Applications, 23-27. Centre National de la Recherche Scientique, Paris. Colloques Internationalaux du Centre National de le Recherche Scientique, no 13.
5. Ghosh, J. K. and Ramamoorthi, R. V. (2003). Bayesian Nonparametrics. New York: Springer Verlag.
6. Muirhead, R. J. and Soaita, A. I. (2012). "On an approach to Bayesian sample sizing in clinical trials." In Jones, G. and Shen, X. (eds.), Multivariate Statistics in Modern Statistical Analysis: A Festschrift in honor of Morris L. Eaton. Institute of Mathematical Statistics, Beachwood, Ohio. To appear. Available online at arXiv:1204.4460v1.
7. O'Hagan, A., Steven, J. W., and Campbell, M. J. (2005). "Assurance in clinical trial design." Pharmaceutical Statistics, 4: 187-201.
8. Spiegelhalter, D. J., Abrams, K. R., and Myles, J. P. (2004). Bayesian Approaches to Clinical Trials and Health Care Evaluation. New York: Wiley.
9. Whitehead, J., Valdes-Marquez, E., Johnson, P., and Graham, G. (2008). "Bayesian sample size for exploratory clinical trials incorporating historical data." Statistics in Medicine, 27: 2307-2327.