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A Bayesian approach to Mendelian randomization with multiple pleiotropic variants.

Carlo Berzuini1, Hui Guo1, Stephen Burgess2

  • 1Centre for Biostatistics, The University of Manchester, Jean McFarlane Building, University Place, Oxford Road, Manchester M13 9PL, UK.

Biostatistics (Oxford, England)
|August 8, 2018
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Summary

This study introduces a Bayesian approach to Mendelian randomization (MR) that accounts for pleiotropic effects. The method provides robust causal effect estimates even with potential instrument bias.

Keywords:
Correlated instrumentsEgger regressionInstrumental variableMedian estimatorMediationMetabolomicsShrinkageSparsity prior

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Area of Science:

  • Genetics
  • Statistical Genetics
  • Epidemiology

Background:

  • Mendelian randomization (MR) is a powerful tool for inferring causality.
  • Pleiotropy, where genetic variants affect the outcome through pathways other than the exposure, is a major challenge in MR.
  • Existing MR methods may be sensitive to violations of core assumptions.

Purpose of the Study:

  • To develop a flexible Bayesian framework for Mendelian randomization that explicitly models and accounts for pleiotropic effects.
  • To provide robust causal inference in the presence of potential instrument bias and correlated instruments.
  • To extend the Bayesian MR framework to handle multiple exposures and estimate direct/indirect effects.

Main Methods:

  • A Bayesian statistical model is proposed for Mendelian randomization.
  • Pleiotropic effects are modeled as unknown parameters with a shrinkage prior distribution, assuming a subset are zero.
  • Inference is performed using Markov chain Monte Carlo (MCMC) methods to obtain posterior distributions for causal effects.

Main Results:

  • The proposed Bayesian MR method demonstrates robustness to directional pleiotropy and moderate instrument correlation.
  • Simulation experiments validate the performance of the method.
  • The framework can be extended to analyze multiple exposures and disentangle direct and indirect causal effects.

Conclusions:

  • The Bayesian approach offers a flexible and robust alternative for Mendelian randomization analysis, particularly when pleiotropy is a concern.
  • This framework facilitates the incorporation of external information and handling of multiple uncertainties in causal inference.
  • The developed model provides a foundation for future advancements in Bayesian Mendelian randomization.