A Bayesian multivariate joint frailty model for disease recurrences and survival

Motivated by a study for soft tissue sarcoma, this article considers the analysis of diseases recurrence and survival. A multivariate frailty hazard model is established for joint modeling of three correlated time‐to‐event outcomes: local disease recurrence, distant disease recurrence (metastasis),...

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Bibliographic Details
Published in:Statistics in medicine 2016-11, Vol.35 (26), p.4794-4812
Main Authors: Wen, Sijin, Huang, Xuelin, Frankowski, Ralph F., Cormier, Janice N., Pisters, Peter
Format: Article
Language:English
Subjects:
Algorithms
Bayes Theorem
Bayesian analysis
disease recurrence
Frailty
frailty model
Humans
hybrid Monte Carlo algorithm
MCMC
Models, Statistical
Monte Carlo simulation
Multivariate analysis
Neoplasm Recurrence, Local
Proportional Hazards Models
Sarcoma - therapy
Survival Analysis
Treatment Outcome
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Summary:Motivated by a study for soft tissue sarcoma, this article considers the analysis of diseases recurrence and survival. A multivariate frailty hazard model is established for joint modeling of three correlated time‐to‐event outcomes: local disease recurrence, distant disease recurrence (metastasis), and death. The goals are to find out (i) the effects of treatments on local and distant disease recurrences, and death, (ii) the effects of local and distant disease recurrences on death, and (iii) the correlation between local and distant recurrences. By our approach, all these three important questions, which are commonly asked in similar medical research studies, can be answered by a single model. We put the proposed joint frailty model in a Bayesian framework and use a hybrid Monte Carlo algorithm for the computation of posterior distributions. This hybrid algorithm relies on the evaluation of the gradient of target log density and a guided walk progress, and it combines these two strategies to suppress random walk behavior. A further distinction is that the hybrid algorithm can update all the components of a multivariate state vector simultaneously. Simulation studies are conducted to assess the proposed joint frailty model and the computation algorithm. The motivating soft tissue sarcoma data set is analyzed for illustration purpose. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0277-6715
1097-0258
DOI:10.1002/sim.7030