Volume 76, Issue 3
BIOMETRIC METHODOLOGY

Bayesian shrinkage estimation of high dimensional causal mediation effects in omics studies

Yanyi Song

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan

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Xiang Zhou

Corresponding Author

E-mail address: xzhousph@umich.edu

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan

Correspondence

Xiang Zhou and Bhramar Mukherjee, Department of Biostatistics, University of Michigan, Ann Arbor, MI 48109.

Email: xzhousph@umich.edu (X. Z.) and bhramar@umich.edu (B. M.)

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Min Zhang

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan

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Wei Zhao

Department of Epidemiology, University of Michigan, Ann Arbor, Michigan

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Yongmei Liu

Division of Cardiology, Department of Medicine, Duke University School of Medicine, Durham, North Carolina

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Sharon L. R. Kardia

Department of Epidemiology, University of Michigan, Ann Arbor, Michigan

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Ana V. Diez Roux

Department of Epidemiology and Biostatistics, Drexel University, Philadelphia, Pennsylvania

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Belinda L. Needham

Department of Epidemiology, University of Michigan, Ann Arbor, Michigan

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Jennifer A. Smith

Department of Epidemiology, University of Michigan, Ann Arbor, Michigan

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Bhramar Mukherjee

Corresponding Author

E-mail address: bhramar@umich.edu

Department of Biostatistics, University of Michigan, Ann Arbor, Michigan

Correspondence

Xiang Zhou and Bhramar Mukherjee, Department of Biostatistics, University of Michigan, Ann Arbor, MI 48109.

Email: xzhousph@umich.edu (X. Z.) and bhramar@umich.edu (B. M.)

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First published: 16 November 2019

Abstract

Causal mediation analysis aims to examine the role of a mediator or a group of mediators that lie in the pathway between an exposure and an outcome. Recent biomedical studies often involve a large number of potential mediators based on high‐throughput technologies. Most of the current analytic methods focus on settings with one or a moderate number of potential mediators. With the expanding growth of ‐omics data, joint analysis of molecular‐level genomics data with epidemiological data through mediation analysis is becoming more common. However, such joint analysis requires methods that can simultaneously accommodate high‐dimensional mediators and that are currently lacking. To address this problem, we develop a Bayesian inference method using continuous shrinkage priors to extend previous causal mediation analysis techniques to a high‐dimensional setting. Simulations demonstrate that our method improves the power of global mediation analysis compared to simpler alternatives and has decent performance to identify true nonnull contributions to the mediation effects of the pathway. The Bayesian method also helps us to understand the structure of the composite null cases for inactive mediators in the pathway. We applied our method to Multi‐Ethnic Study of Atherosclerosis and identified DNA methylation regions that may actively mediate the effect of socioeconomic status on cardiometabolic outcomes.

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