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Bayesian Interim Analysis of Weibull Regression Models with Gamma Frailty

  • George D. Papandonatos
Chapter
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 114)

Abstract

This paper considers the problem of planning prospective clinical studies where the primary endpoint is a terminal event and the response variable is a survival time. It is assumed that the lifetimes of the individuals in the study display extra-Weibull variability that causes the usual proportional hazards assumption to fail. The introduction of a Gamma-distributed frailty term to accommodate the between-subject heterogeneity leads to a logarithmic F accelerated failure time model to which the second-order expansions of Papandonatos & Geisser [1] can be applied. The predictive simulation approach of Papandonatos & Geisser [2] can then be used to evaluate the length of the study period needed for a Bayesian hypothesis testing procedure to achieve a conclusive result.

Key words

Bayesian Inference Stochastic Curtailment Weibull Frailty 

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • George D. Papandonatos
    • 1
  1. 1.Department of StatisticsState University of New York at BuffaloBuffaloUSA

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