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Transporting stochastic direct and indirect effects to new populations
Authors:Kara E Rudolph  Jonathan Levy  Mark J van der Laan
Abstract:Transported mediation effects may contribute to understanding how interventions work differently when applied to new populations. However, we are not aware of any estimators for such effects. Thus, we propose two doubly robust, efficient estimators of transported stochastic (also called randomized interventional) direct and indirect effects. We demonstrate their finite sample properties in a simulation study. We then apply the preferred substitution estimator to longitudinal data from the Moving to Opportunity Study, a large‐scale housing voucher experiment, to transport stochastic indirect effect estimates of voucher receipt in childhood on subsequent risk of mental health or substance use disorder mediated through parental employment across sites, thereby gaining understanding of drivers of the site differences.
Keywords:external validity  generalizability  instrumental variables  mediation  randomized interventional indirect effects  stochastic indirect effects  targeted maximum likelihood estimation  transportability
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