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Updated: Feb 7, 2026

Application of Granger Causality Analysis of the Directed Functional Connection in Alzheimer's Disease and Mild Cognitive Impairment
Published on: August 7, 2017
Causal effect heterogeneity estimation using summary statistics
Xingjie Shi1, Yadong Yang1, Minxi Bai2
1KLATASDS-MOE, Academy of Statistics and Interdisciplinary Sciences, School of Statistics, East China Normal University.
Mendelian randomization (MR) can now quantify causal effect heterogeneity. The new MERLIN framework estimates average and context-dependent effects, revealing sex- and age-specific genetic links to diseases.
Area of Science:
- Genetic Epidemiology
- Statistical Genetics
- Causal Inference
Background:
- Mendelian randomization (MR) is a popular tool for causal inference in genetic epidemiology.
- Current MR methods primarily estimate average causal effects, lacking the ability to quantify heterogeneity.
- This limitation hinders context-dependent causal findings and a deeper understanding of complex diseases.
Purpose of the Study:
- Introduce MEndelian Randomization for Linear INteraction (MERLIN), a novel Bayesian framework.
- Jointly estimate average and context-dependent causal effects using summary-level data.
- Address the methodological limitation of existing MR approaches in quantifying causal heterogeneity.
Main Methods:
- Developed MERLIN, a unified Bayesian framework for causal inference.
- Utilized summary data from genome-wide association studies (GWAS) and interaction studies.
- Performed extensive simulation analyses to assess MERLIN's performance.
Main Results:
- MERLIN demonstrated improved power, robustness, and utility compared to existing methods.
- Identified sex-specific causal effects of schizophrenia on brain imaging traits.
- Detected a male-specific causal effect of testosterone on bipolar disorder and age-dependent effects of metabolic biomarkers on coronary artery disease risk.
Conclusions:
- MERLIN provides a powerful and practical framework for investigating causal effect heterogeneity.
- Enables summary-data-based inference for context-dependent causal relationships.
- Significantly enhances the capability to elucidate complex disease etiology and genetic epidemiology.
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