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Published on: August 15, 2019
Mendelian randomization incorporating uncertainty about pleiotropy
John R Thompson1, Cosetta Minelli2, Jack Bowden3
1Department of Health Sciences, University of Leicester, Leicester, UK.
Abstract:
Mendelian randomization (MR) requires strong assumptions about the genetic instruments, of which the most difficult to justify relate to pleiotropy. In a two-sample MR, different methods of analysis are available if we are able to assume, M1 : no pleiotropy (fixed effects meta-analysis), M2 : that there may be pleiotropy but that the average pleiotropic effect is zero (random effects meta-analysis), and M3 : that the average pleiotropic effect is nonzero (MR-Egger). In the latter 2 cases, we also require that the size of the pleiotropy is independent of the size of the effect on the exposure. Selecting one of these models without good reason would run the risk of misrepresenting the evidence for causality. The most conservative strategy would be to use M3 in all analyses as this makes the weakest assumptions, but such an analysis gives much less precise estimates and so should be avoided whenever stronger assumptions are credible. We consider the situation of a two-sample design when we are unsure which of these 3 pleiotropy models is appropriate. The analysis is placed within a Bayesian framework and Bayesian model averaging is used. We demonstrate that even large samples of the scale used in genome-wide meta-analysis may be insufficient to distinguish the pleiotropy models based on the data alone. Our simulations show that Bayesian model averaging provides a reasonable trade-off between bias and precision. Bayesian model averaging is recommended whenever there is uncertainty about the nature of the pleiotropy.
Insights
Mendelian randomization (MR) analysis faces challenges with pleiotropy. Bayesian model averaging offers a balanced approach to address uncertainty in pleiotropy models, improving causal inference.
Area of Science:
- Genetics
- Biostatistics
- Epidemiology
Background:
- Mendelian randomization (MR) relies on genetic instruments, but pleiotropy poses a significant challenge to justifying these assumptions.
- Existing MR methods (fixed effects, random effects, MR-Egger) make different assumptions about pleiotropy, risking misrepresentation of causal evidence if misapplied.
Purpose of the Study:
- To address uncertainty regarding the appropriate pleiotropy model in two-sample MR analyses.
- To evaluate the performance of Bayesian model averaging (BMA) when distinguishing between different pleiotropy models.
Main Methods:
- Utilized a Bayesian framework for MR analysis.
- Applied Bayesian model averaging (BMA) to account for uncertainty in pleiotropy models.
- Conducted simulations to assess the ability of large sample sizes to distinguish between pleiotropy models.
Main Results:
- Even large genome-wide meta-analysis sample sizes may be insufficient to definitively distinguish between pleiotropy models based on data alone.
- Simulations indicated that BMA provides a reasonable trade-off between bias and precision in MR analyses.
- BMA demonstrated effectiveness in handling uncertainty about the nature of pleiotropy.
Conclusions:
- Bayesian model averaging is recommended for Mendelian randomization studies when there is uncertainty about the underlying pleiotropy assumptions.
- BMA offers a robust strategy to balance bias and precision, enhancing the reliability of causal inference in MR.
- The choice of pleiotropy model significantly impacts MR results; BMA provides a principled way to navigate this uncertainty.
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