1. A Bayesian Nonparametric Modeling Framework for Developmental Toxicity Studies
- Author
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Athanasios Kottas and Kassandra Fronczyk
- Subjects
Statistics and Probability ,Flexibility (engineering) ,Computer science ,business.industry ,Bayesian probability ,Nonparametric statistics ,Developmental toxicity ,Markov chain Monte Carlo ,Mixture model ,Machine learning ,computer.software_genre ,symbols.namesake ,symbols ,Econometrics ,Artificial intelligence ,Statistics, Probability and Uncertainty ,business ,Gaussian process ,computer ,Parametric statistics - Abstract
We develop a Bayesian nonparametric mixture modeling framework for replicated count responses in dose-response settings. We explore this methodology for modeling and risk assessment in developmental toxicity studies, where the primary objective is to determine the relationship between the level of exposure to a toxic chemical and the probability of a physiological or biochemical response, or death. Data from these experiments typically involve features that cannot be captured by standard parametric approaches. To provide flexibility in the functional form of both the response distribution and the probability of positive response, the proposed mixture model is built from a dependent Dirichlet process prior, with the dependence of the mixing distributions governed by the dose level. The methodology is tested with a simulation study, which involves also comparison with semiparametric Bayesian approaches to highlight the practical utility of the dependent Dirichlet process nonparametric mixture model. Further...
- Published
- 2014
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