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A Linear Mixed Model With Measurement Error Correction (LMM-MEC): A Method for Summary-Data-Based Multivariable
1Department of Emergency Medicine, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA.
Genetic Epidemiology
|January 19, 2026
Summary
A new linear mixed model with measurement error correction (LMM-MEC) improves causal inference in multivariable Mendelian randomization (MVMR) by accounting for summary statistic variances. The method identified high LDL-c levels causally linked to reduced longevity.
Area of Science:
- Genetics and Epidemiology
- Statistical Genetics
- Causal Inference
Background:
- Multivariable Mendelian randomization (MVMR) methods assess causal effects of multiple risk factors on disease.
- Existing MVMR methods face challenges in accounting for variances in risk factor summary statistics.
- Accurate causal inference requires robust methods that handle uncertainty in genetic and phenotypic data.
Purpose of the Study:
- To propose a novel linear mixed model with measurement error correction (LMM-MEC) for MVMR.
- To address the challenge of accounting for variances in summary statistics for both disease outcomes and risk factors.
- To evaluate the performance of LMM-MEC compared to existing MVMR methods under various conditions, including pleiotropy and linkage disequilibrium.
Main Methods:
- Developed a linear mixed model (LMM) to account for variance in disease summary statistics (fixed- or random-effects).
- Relaxed the NOME assumption and incorporated estimation error from risk factor summary statistics using regression calibration.
- Validated the LMM-MEC method through simulation studies and an application to cholesterol biomarkers and longevity.
Main Results:
- LMM-MEC demonstrated comparable performance to existing MVMR methods under no or balanced pleiotropy.
- The method showed improved coverage rates and power under directional pleiotropy compared to some existing methods.
- In an application study, LMM-MEC identified a causal association between high LDL-c levels and a lower likelihood of longevity, using 739 genetic variants with low linkage disequilibrium.
Conclusions:
- The proposed LMM-MEC method effectively accounts for variances in summary statistics in MVMR analyses.
- LMM-MEC offers improved performance, particularly under directional pleiotropy and specific linkage disequilibrium scenarios.
- The study highlights a causal link between elevated LDL-c and reduced longevity, demonstrating the utility of LMM-MEC in genetic epidemiology.
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