Under a mediator-adjusted parallel trends assumption, natural indirect, direct, and total effects are identifiable in the treated group, with multiply robust efficient estimators derived and applied to Job Corps data showing training increases earnings.
(2008),Introduction to Nonparametric Estimation, Springer Series in Statistics, Springer New York
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Difference-in-differences with a mediator
Under a mediator-adjusted parallel trends assumption, natural indirect, direct, and total effects are identifiable in the treated group, with multiply robust efficient estimators derived and applied to Job Corps data showing training increases earnings.