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Extending the MR-Egger method for multivariable Mendelian randomization to correct for both measured and unmeasured
Jessica M B Rees1, Angela M Wood1, Stephen Burgess1,2
1Cardiovascular Epidemiology Unit, University of Cambridge, Cambridge, UK.
Abstract:
Methods have been developed for Mendelian randomization that can obtain consistent causal estimates while relaxing the instrumental variable assumptions. These include multivariable Mendelian randomization, in which a genetic variant may be associated with multiple risk factors so long as any association with the outcome is via the measured risk factors (measured pleiotropy), and the MR-Egger (Mendelian randomization-Egger) method, in which a genetic variant may be directly associated with the outcome not via the risk factor of interest, so long as the direct effects of the variants on the outcome are uncorrelated with their associations with the risk factor (unmeasured pleiotropy). In this paper, we extend the MR-Egger method to a multivariable setting to correct for both measured and unmeasured pleiotropy. We show, through theoretical arguments and a simulation study, that the multivariable MR-Egger method has advantages over its univariable counterpart in terms of plausibility of the assumption needed for consistent causal estimation and power to detect a causal effect when this assumption is satisfied. The methods are compared in an applied analysis to investigate the causal effect of high-density lipoprotein cholesterol on coronary heart disease risk. The multivariable MR-Egger method will be useful to analyse high-dimensional data in situations where the risk factors are highly related and it is difficult to find genetic variants specifically associated with the risk factor of interest (multivariable by design), and as a sensitivity analysis when the genetic variants are known to have pleiotropic effects on measured risk factors.
Insights
New multivariable MR-Egger methods improve causal inference in genetic studies by addressing both measured and unmeasured pleiotropy. This enhances the reliability of Mendelian randomization analyses for complex risk factors.
Area of Science:
- Epidemiology
- Statistical Genetics
- Causal Inference
Background:
- Mendelian randomization (MR) uses genetic variants as instrumental variables to infer causal relationships.
- Standard MR relies on strong instrumental variable assumptions, often violated by pleiotropy (genetic variants affecting outcomes through unintended pathways).
- Existing methods like multivariable MR and MR-Egger address measured and unmeasured pleiotropy, respectively.
Purpose of the Study:
- To extend the MR-Egger method to a multivariable setting.
- To develop a method that corrects for both measured and unmeasured pleiotropy simultaneously.
- To improve causal estimation and statistical power in genetic analyses with complex pleiotropic effects.
Main Methods:
- Development of the multivariable MR-Egger method.
- Theoretical derivations and a simulation study to evaluate method performance.
- Application to investigate the causal effect of high-density lipoprotein cholesterol on coronary heart disease risk.
Main Results:
- The multivariable MR-Egger method offers advantages over univariable MR-Egger.
- Demonstrated improved plausibility of assumptions for consistent causal estimation.
- Showcased enhanced power to detect causal effects when assumptions are met.
Conclusions:
- The multivariable MR-Egger method effectively corrects for both measured and unmeasured pleiotropy.
- This approach is valuable for analyzing high-dimensional data with highly related risk factors.
- It serves as a robust sensitivity analysis tool when genetic variants exhibit known pleiotropic effects.
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