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Comment
. 2019 Jul 1;188(7):1201-1203.
doi: 10.1093/aje/kwy275.

Point: Risk Ratio Equations for Natural Direct and Indirect Effects in Causal Mediation Analysis of a Binary Mediator and a Binary Outcome-A Fresh Look at the Formulas

Mariia Samoilenko  1 , Geneviève Lefebvre  1   2   3
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Point: Risk Ratio Equations for Natural Direct and Indirect Effects in Causal Mediation Analysis of a Binary Mediator and a Binary Outcome-A Fresh Look at the Formulas

Mariia Samoilenko et al. Am J Epidemiol. .

Abstract

In this article, we review the formulas for the natural direct and indirect effects' risk ratios introduced by Ananth and VanderWeele (Am J Epidemiol. 2011;174(1):99-108) for causal mediation analysis of a binary mediator and a binary outcome. In particular, we show that the closed-form equations Ananth and VanderWeele provided do not correspond to the log-binomial model specified by these authors for the mediator variable, but rather to a logistic model. We then provide risk ratio equations for natural direct and indirect effects that truly pertain to a log-binomial model. We conclude with a discussion on the practical implications of the binary mediator model's specification by analysts. The related impact can be negligible or not, depending on the rareness of the mediator.

Keywords: binary mediator; causal mediation analysis; log-binomial model; logistic model; risk ratio.

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