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A Variance-Based Sensitivity Analysis Approach for Identifying Interactive Exposures

Author

Listed:
  • Ruijin Lu

    (Washington Univeristy in St. Louis)

  • Boya Zhang

    (Lawrence Livermore National Lab)

  • Anna Birukov

    (Harvard T.H. Chan School of Public Health)

  • Cuilin Zhang

    (Yong Loo Lin School of Medicine)

  • Zhen Chen

    (National Institutes of Health)

Abstract

Chemical mixtures can significantly affect human health, but understanding the interactions among various chemical exposures and identifying influential ones in relation to some health outcomes are difficult. Bayesian kernel machine regression (BKMR) is a widely used model for capturing nonlinear dynamics and interactions between multiple exposures and health outcomes. However, tools for quantifying the interactions captured by this flexible model are scarce. Utilizing the inherent connection between BKMR and Gaussian process regressions, we adopt the classic variance-based sensitivity analysis tools from the uncertainty quantification community and propose a variable clustering approach to quantify interactions, discover high-order interaction terms, and rank variable importance. The performance of this method is demonstrated in a range of simulation scenarios and applied to a real dataset to examine the interactive effects of multiple per- and polyfluoroalkyl substances exposures, dietary patterns, and gestational diabetes mellitus status on thyroid function in women during their late pregnancy.

Suggested Citation

  • Ruijin Lu & Boya Zhang & Anna Birukov & Cuilin Zhang & Zhen Chen, 2024. "A Variance-Based Sensitivity Analysis Approach for Identifying Interactive Exposures," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 16(2), pages 520-541, July.
    • Handle: RePEc:spr:stabio:v:16:y:2024:i:2:d:10.1007_s12561-024-09427-8
    DOI: 10.1007/s12561-024-09427-8
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    References listed on IDEAS

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    1. Saltelli A. & Tarantola S., 2002. "On the Relative Importance of Input Factors in Mathematical Models: Safety Assessment for Nuclear Waste Disposal," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 702-709, September.
    2. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    3. Jeremy E. Oakley & Anthony O'Hagan, 2004. "Probabilistic sensitivity analysis of complex models: a Bayesian approach," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(3), pages 751-769, August.
    4. Kristen M. Rappazzo & Evan Coffman & Erin P. Hines, 2017. "Exposure to Perfluorinated Alkyl Substances and Health Outcomes in Children: A Systematic Review of the Epidemiologic Literature," IJERPH, MDPI, vol. 14(7), pages 1-22, June.
    5. Kapelner, Adam & Bleich, Justin, 2016. "bartMachine: Machine Learning with Bayesian Additive Regression Trees," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 70(i04).
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