Estimation guide ========== All estimators are presented in the publication associated with this repository. .. admonition:: citation Judith Abécassis, Houssam Zenati, Sami Boumaïza, Julie Josse, Bertrand Thirion. Causal mediation analysis with one or multiple mediators: a comparative study. 2025. `hal-05060162 `_ More details about the estimators, and how and when to use them, will come! References ---------- **Coefficient Product** The coefficient product method was proposed in * Valeri, L. and VanderWeele, T. J. `Mediation analysis allowing for exposure–mediator interactions and causal interpretation: Theoretical assumptions and implementation with SAS and SPSS macros`_.Psychological Methods, 18(2), 137–150. 2013. * Valeri, L. and VanderWeele, T. J. `SAS Macro for Causal Mediation Analysis with Survival Data`_. Epidemiology 26(2), 2015. **IPW estimator** The Importance Weighting (IPW) method originally was introduced in and then presented in mediation analysis in * Huber, Martin, `Identifying causal mechanisms (primarily) based on inverse probability weighting`_. Journal of Applied Econometrics, 29, issue 6, p. 920-943, 2014. **G-computation estimator** The G-computation method for the mediation was introduced in * **Robust estimators** The Double machine learning method originally was introduced in * V. Chernozhukov, D. Chetverikov, M. Demirer, E. Duflo, C. Hansen, W. Newey and J. Robins, `Double/debiased machine learning for treatment and structural parameters`, The Econometrics Journal, Volume 21, Issue 1, 2018. and then adapted to the mediation task in * H. Farbmacher, M. Huber, L. Lafférs, H. Langen and M. Spindler, `Causal mediation analysis with double machine learning`_, The Econometrics Journal, Volume 25, Issue 2, Pages 277–300, 2022. The Multiply Robust (MR) estimator was introduced in * Tchetgen EJ, Shpitser I. `Semiparametric Theory for Causal Mediation Analysis: efficiency bounds, multiple robustness, and sensitivity analysis`_. Ann Stat. 40(3):1816-1845. 2012.