In this paper we propose a predictive Bayesian approach to sample size determination (SSD) and re-estimation in clinical trials, in the presence of multiple sources of prior information. The method we suggest is based on the use of mixtures of prior distributions for the unknown quantity of interest, typically a treatment effect or an effects-difference. Methodologies are developed using normal models with mixtures of conjugate priors. In particular we extend the SSD analysis of Gajewski and Mayo (Statist. Med. 2006; 25:2554-2566) and the sample size re-estimation technique of Wang (Biometrical J. 2006; 48(5):1-13). Copyright © 2009 John Wiley & Sons, Ltd.
Mixtures of prior distributions for predictive Bayesian sample size calculations in clinical trials / Brutti, Pierpaolo; DE SANTIS, Fulvio; Gubbiotti, Stefania. - In: STATISTICS IN MEDICINE. - ISSN 0277-6715. - STAMPA. - 28:17(2009), pp. 2185-2201. [10.1002/sim.3609]
Mixtures of prior distributions for predictive Bayesian sample size calculations in clinical trials
BRUTTI, Pierpaolo;DE SANTIS, Fulvio;GUBBIOTTI, STEFANIA
2009
Abstract
In this paper we propose a predictive Bayesian approach to sample size determination (SSD) and re-estimation in clinical trials, in the presence of multiple sources of prior information. The method we suggest is based on the use of mixtures of prior distributions for the unknown quantity of interest, typically a treatment effect or an effects-difference. Methodologies are developed using normal models with mixtures of conjugate priors. In particular we extend the SSD analysis of Gajewski and Mayo (Statist. Med. 2006; 25:2554-2566) and the sample size re-estimation technique of Wang (Biometrical J. 2006; 48(5):1-13). Copyright © 2009 John Wiley & Sons, Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.