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Bayesian Hierarchical Structure for Quantifying Population Variability to Inform Probabilistic Health Risk Assessments

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  • Kan Shao
  • Bruce C. Allen
  • Matthew W. Wheeler

Abstract

Human variability is a very important factor considered in human health risk assessment for protecting sensitive populations from chemical exposure. Traditionally, to account for this variability, an interhuman uncertainty factor is applied to lower the exposure limit. However, using a fixed uncertainty factor rather than probabilistically accounting for human variability can hardly support probabilistic risk assessment advocated by a number of researchers; new methods are needed to probabilistically quantify human population variability. We propose a Bayesian hierarchical model to quantify variability among different populations. This approach jointly characterizes the distribution of risk at background exposure and the sensitivity of response to exposure, which are commonly represented by model parameters. We demonstrate, through both an application to real data and a simulation study, that using the proposed hierarchical structure adequately characterizes variability across different populations.

Suggested Citation

  • Kan Shao & Bruce C. Allen & Matthew W. Wheeler, 2017. "Bayesian Hierarchical Structure for Quantifying Population Variability to Inform Probabilistic Health Risk Assessments," Risk Analysis, John Wiley & Sons, vol. 37(10), pages 1865-1878, October.
  • Handle: RePEc:wly:riskan:v:37:y:2017:i:10:p:1865-1878
    DOI: 10.1111/risa.12751
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    References listed on IDEAS

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    1. Carpenter, Bob & Gelman, Andrew & Hoffman, Matthew D. & Lee, Daniel & Goodrich, Ben & Betancourt, Michael & Brubaker, Marcus & Guo, Jiqiang & Li, Peter & Riddell, Allen, 2017. "Stan: A Probabilistic Programming Language," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i01).
    2. Kan Shao & Jeffrey S. Gift, 2014. "Model Uncertainty and Bayesian Model Averaged Benchmark Dose Estimation for Continuous Data," Risk Analysis, John Wiley & Sons, vol. 34(1), pages 101-120, January.
    3. J. S. Evans & L. R. Rhomberg & P. L. Williams & A. M. Wilson & S. J. S. Baird, 2001. "Reproductive and Developmental Risks from Ethylene Oxide: A Probabilistic Characterization of Possible Regulatory Thresholds," Risk Analysis, John Wiley & Sons, vol. 21(4), pages 697-718, August.
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    1. Md. Tuhin Sheikh & Ming-Hui Chen & Jonathan A. Gelfond & Joseph G. Ibrahim, 2022. "A Power Prior Approach for Leveraging External Longitudinal and Competing Risks Survival Data Within the Joint Modeling Framework," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 14(2), pages 318-336, July.

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