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Activity Number: 591
Type: Topic Contributed
Date/Time: Thursday, August 6, 2009 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #303281
Title: Bayesian vs. Frequentist Hypotheses Testing in Clinical Trials with Dichotomous and Countable Outcomes
Author(s): Boris G. Zaslavsky*+
Companies: FDA
Address: 1401 Rockville Pike, Rockville, MD, 20879,
Keywords: beta distribution ; gamma distribution ; hypothesis ; posterior distribution ; prior distribution ; p-value
Abstract:

In the problem of hypothesis testing, a question of practical importance is: When do Bayesian and frequentist methodologies suggest similar solutions? Substantial progress has been made for one-sided hypotheses on the parameters of continuous distributions. In this presentation, we study the problem of testing one-side hypotheses in binomial and Poisson trials, using Bayesian models with conjugate priors. By correctly choosing prior parameters, we can make the posterior probability smaller, equal or larger than the frequentist p-value. The results are illustrated through simulation modeling and analysis of data from clinical trials.

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