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Mediation and interaction analysis Introduction and ...

Mediation and interaction analysisIntroduction and overview of Stata commandsAndrea BellaviaUtrecht Exposome Hub, Utrecht UniversityDepartments of Environmental Health, Harvard Chan School of Public Stata Biostatistics and Epidemiology Virtual Symposium@andreabellaviaMediation analysisFebruary 18, 20211 / 22 Outline1. Principles of Mediation and pathway analysis2. Overview of current approaches and STATA Classical (Baron & Kenny) Structural Equation Modeling Counterfactual approach to Mediation General approach (Imai)3. Extensions and current gaps4. Themed4waycommand (Rino Bellocco)@andreabellaviaMediation analysisFebruary 18, 20212 / 221. Principles of Mediation and pathway analysisMediation and pathway analysis attempts to elucidate the mechanismsunderlaying an observedX is the association generated?Does the association only exist for specific subgroups? Mediation and pathway analysis address the how question.

Mediation analysis with exposure-mediator interaction When exposure-mediator interaction is present one of the three needed model must be modi ed as follows: E[Yjx] = 0 + 1 x E[Yjx;m] = 0 + 1 x + 2 m + 3 x m E[Mjx] = 0 + 1 x In this situation the formulas for direct and indirect e ects previously presented do not yield valid estimates.

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