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Sensitivity Analysis for Effects of Multiple Exposures in the Presence of Unmeasured Confounding
Boram Jeong1, Seungjae Lee2, Shinhee Ye3
1Department of Statistics, Ewha Womans University, Seoul, Republic of Korea.
Abstract:
Epidemiological research aims to investigate how multiple exposures affect health outcomes of interest, but observational studies often suffer from biases caused by unmeasured confounders. In this study, we develop a novel sensitivity model to investigate the effect of correlated multiple exposures on the continuous health outcomes of interest. The proposed sensitivity analysis is model-agnostic and can be applied to any machine learning algorithm. The interval of single- or joint-exposure effects is efficiently obtained by solving a linear programming problem with a quadratic constraint. Some strategies for reducing the input burden in the sensitivity analysis are discussed. We demonstrate the usefulness of sensitivity analysis via numerical studies and real data application.
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