Robust Bayesian sample size determination in clinical trials.

Abstract:

:This article deals with determination of a sample size that guarantees the success of a trial. We follow a Bayesian approach and we say an experiment is successful if it yields a large posterior probability that an unknown parameter of interest (an unknown treatment effect or an effects-difference) is greater than a chosen threshold. In this context, a straightforward sample size criterion is to select the minimal number of observations so that the predictive probability of a successful trial is sufficiently large. In the paper we address the most typical criticism to Bayesian methods-their sensitivity to prior assumptions-by proposing a robust version of this sample size criterion. Specifically, instead of a single distribution, we consider a class of plausible priors for the parameter of interest. Robust sample sizes are then selected by looking at the predictive distribution of the lower bound of the posterior probability that the unknown parameter is greater than a chosen threshold. For their flexibility and mathematical tractability, we consider classes of epsilon-contamination priors. As specific applications we consider sample size determination for a Phase III trial.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Brutti P,De Santis F,Gubbiotti S

doi

10.1002/sim.3175

subject

Has Abstract

pub_date

2008-06-15 00:00:00

pages

2290-306

issue

13

eissn

0277-6715

issn

1097-0258

journal_volume

27

pub_type

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