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The Finite Sample Performance of Estimators for Mediation Analysis Under Sequential Conditional Independence
Authors:Martin Huber  Michael Lechner  Giovanni Mellace
Institution:1. Department of Economics, University of Fribourg, Bd. de Pérolles 90, CH-1700 Fribourg, Switzerland martin.huber@unifr.ch;2. Swiss Institute for Empirical Economic Research, University of St. Gallen, St. Gallen, Switzerland michael.lechner@unisg.ch;3. Department of Business and Economics, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark giome@sam.sdu.dk
Abstract:Using a comprehensive simulation study based on empirical data, this article investigates the finite sample properties of different classes of parametric and semiparametric estimators of (natural) direct and indirect causal effects used in mediation analysis under sequential conditional independence assumptions. The estimators are based on regression, inverse probability weighting, and combinations thereof. Our simulation design uses a large population of Swiss jobseekers and considers variations of several features of the data-generating process (DGP) and the implementation of the estimators that are of practical relevance. We find that no estimator performs uniformly best (in terms of root mean squared error) in all simulations. Overall, so-called “g-computation” dominates. However, differences between estimators are often (but not always) minor in the various setups and the relative performance of the methods often (but not always) varies with the features of the DGP.
Keywords:Causal channels  Causal mechanisms  Direct effects  Empirical Monte Carlo study  Indirect effects  Simulation
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