Bayesian blinded sample size re-estimation. Issue 24 (17th December 2018)

• Record Type: Journal Article
• Authors: Sobel, Marc; Turkoz, Ibrahim
• Is Part Of: Communications in statistics. Volume 47:Issue 24(2018)
• Page Start: 5916
• Page End: 5933
• Publication Date: 2018-12-17
• Subjects: Bayesian power -- blinded sample size re-estimation -- MCMC -- sequential MCMC.; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1404097
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Information before unblinding regarding the success of confirmatory clinical trials is highly uncertain. Current techniques using point estimates of auxiliary parameters for estimating expected blinded sample size: (i) fail to describe the range of likely sample sizes obtained after the anticipated data are observed, and (ii) fail to adjust to the changing patient population. Sequential MCMC-based algorithms are implemented for purposes of sample size adjustments. The uncertainty arising from clinical trials is characterized by filtering later auxiliary parameters through their earlier counterparts and employing posterior distributions to estimate sample size and power. The use of approximate expected power estimates to determine the required additional sample size are closely related to techniques employing Simple Adjustments or the EM algorithm. By contrast with these, our proposed methodology provides intervals for the expected sample size using the posterior distribution of auxiliary parameters. Future decisions about additional subjects are better informed due to our ability to account for subject response heterogeneity over time. We apply the proposed methodologies to a depression trial. Our proposed blinded procedures should be considered for most studies due to ease of implementation.