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Non‐parametric Bayesian Hazard Regression for Chronic Disease Risk Assessment
Authors:Olli Saarela  Elja Arjas
Institution:1. Dalla Lana School of Public HealthUniversity of Toronto;2. Department of Mathematics and StatisticsUniversity of Helsinki and National Institute for Health and Welfare
Abstract:Assessing the absolute risk for a future disease event in presently healthy individuals has an important role in the primary prevention of cardiovascular diseases (CVD) and other chronic conditions. In this paper, we study the use of non‐parametric Bayesian hazard regression techniques and posterior predictive inferences in the risk assessment task. We generalize our previously published Bayesian multivariate monotonic regression procedure to a survival analysis setting, combined with a computationally efficient estimation procedure utilizing case–base sampling. To achieve parsimony in the model fit, we allow for multidimensional relationships within specified subsets of risk factors, determined either on a priori basis or as a part of the estimation procedure. We apply the proposed methods for 10‐year CVD risk assessment in a Finnish population. © 2014 Board of the Foundation of the Scandinavian Journal of Statistics
Keywords:case–  base sampling  disease prediction  monotonic regression  non‐parametric Bayesian regression  risk assessment
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