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Published on: September 17, 2019
A Bayesian approach to Mendelian randomization using summary statistics in the univariable and multivariable settings
Andrew J Grant1, Stephen Burgess2
1MRC Biostatistics Unit, University of Cambridge, Cambridge, UK; Sydney School of Public Health, University of Sydney, Sydney, NSW, Australia.
This study introduces a new Bayesian framework for Mendelian randomization (MR) that uses genetic variants to infer causal effects. The MR-Horse and MVMR-Horse methods offer valid causal inference even with correlated pleiotropy and weak instruments, using only summary statistics.
Area of Science:
- Genetic Epidemiology
- Statistical Genetics
- Causal Inference
Background:
- Mendelian randomization (MR) utilizes genetic variants as instrumental variables for causal inference.
- Genome-wide association studies (GWAS) provide numerous genetic variants for polygenic MR, increasing statistical power but also susceptibility to bias from invalid instruments.
- Correlated pleiotropy, violating the "instrument strength independent of direct effect" assumption, is a key challenge in MR.
Purpose of the Study:
- To propose a flexible Bayesian framework for Mendelian randomization that enables valid causal inference in general settings.
- To introduce MR-Horse and MVMR-Horse methods that can handle correlated and uncorrelated pleiotropy.
- To develop methods usable with summary statistics from genome-wide association studies (GWAS) without requiring individual-level data.
Main Methods:
- A novel Bayesian framework for Mendelian randomization (MR) was developed.
- The MR-Horse and MVMR-Horse methods were proposed, utilizing summary statistics from GWAS.
- The framework accommodates both correlated and uncorrelated pleiotropy.
Main Results:
- Simulation studies demonstrated that the proposed approach maintains Type I error rates below nominal levels, even in scenarios with high pleiotropy.
- Applied examples in univariable and multivariable settings, including those with very weak instruments, showcased the practical utility of the methods.
- The methods provide valid causal inference without access to individual-level data.
Conclusions:
- The proposed Bayesian framework and associated MR-Horse/MVMR-Horse methods offer a robust approach to Mendelian randomization.
- These methods effectively address bias from correlated pleiotropy and can be applied using readily available GWAS summary statistics.
- The framework facilitates more reliable causal inference in genetic epidemiology, even under challenging conditions like weak instruments and high pleiotropy.
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