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Causal mediation analysis with one or multiple mediators: A comparative study
Judith Abécassis1, Houssam Zenati2, Sami Boumaïza1
1Soda Team, Inria Saclay.
Causal mediation analysis, using advanced machine learning, can untangle how hypertension affects cognition via brain structure changes. Multiply-robust and double-machine-learning estimators show strong performance in complex mediation analyses.
Area of Science:
- Causal inference
- Statistical modeling
- Machine learning applications
Background:
- Causal mediation analysis estimates indirect effects through mediators and direct effects.
- Accurately adjusting for confounders in mediation analysis is complex, especially with nonlinear relationships.
- Machine learning offers flexible function forms to address confounding in mediation analysis.
Purpose of the Study:
- To evaluate parametric and nonparametric estimators for causal mediation analysis with various mediator types.
- To benchmark advanced statistical approaches like multiply-robust and double-machine-learning estimators.
- To provide guidance on formulating mediation problems, verifying assumptions, and selecting estimators.
Main Methods:
- Comprehensive benchmark using simulated data to assess direct and indirect effect estimation.
- Evaluation of classical and recent estimators, including multiply-robust and double-machine-learning methods.
- Application to U.K. Biobank data analyzing hypertension's effect on cognitive function mediated by brain morphology.
Main Results:
- Advanced statistical approaches, particularly multiply-robust and double-machine-learning estimators, performed well across diverse simulated settings.
- The analysis of hypertension in the U.K. Biobank cohort indicated significant mediation of its effect on cognitive function by brain structure alterations.
- The study provides a thorough assessment of direct and indirect effect estimation for binary, continuous, and multidimensional mediators.
Conclusions:
- Machine learning-integrated estimators enhance causal mediation analysis by flexibly handling confounders.
- Multiply-robust and double-machine-learning methods are recommended for robust direct and indirect effect estimation.
- Hypertension's impact on cognition is substantially mediated by changes in brain structure, highlighting the utility of advanced mediation analysis.
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