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Auteurs principaux: Ghanem, Dalia, Sant'Anna, Pedro H. C., Wüthrich, Kaspar
Format: Preprint
Publié: 2022
Sujets:
Accès en ligne:https://arxiv.org/abs/2203.09001
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author Ghanem, Dalia
Sant'Anna, Pedro H. C.
Wüthrich, Kaspar
author_facet Ghanem, Dalia
Sant'Anna, Pedro H. C.
Wüthrich, Kaspar
contents We study the role of selection into treatment in difference-in-differences (DiD) designs. We derive necessary and sufficient conditions for parallel trends assumptions under general classes of selection mechanisms. These conditions characterize the empirical content of parallel trends and clarify the trade-offs between assumptions about selection into treatment and restrictions on the time series properties of the potential outcomes required for DiD methods. We use the necessary and sufficient conditions to provide a selection-based decomposition of the bias of DiD and provide easy-to-implement strategies for benchmarking its components. We also provide templates for justifying DiD in applications with and without covariates. Reanalyses of the causal effect of NSW training programs and the effect of the Medicaid expansion demonstrate the usefulness of our selection-based approach to benchmarking the bias of DiD.
format Preprint
id arxiv_https___arxiv_org_abs_2203_09001
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Selection and parallel trends
Ghanem, Dalia
Sant'Anna, Pedro H. C.
Wüthrich, Kaspar
Econometrics
We study the role of selection into treatment in difference-in-differences (DiD) designs. We derive necessary and sufficient conditions for parallel trends assumptions under general classes of selection mechanisms. These conditions characterize the empirical content of parallel trends and clarify the trade-offs between assumptions about selection into treatment and restrictions on the time series properties of the potential outcomes required for DiD methods. We use the necessary and sufficient conditions to provide a selection-based decomposition of the bias of DiD and provide easy-to-implement strategies for benchmarking its components. We also provide templates for justifying DiD in applications with and without covariates. Reanalyses of the causal effect of NSW training programs and the effect of the Medicaid expansion demonstrate the usefulness of our selection-based approach to benchmarking the bias of DiD.
title Selection and parallel trends
topic Econometrics
url https://arxiv.org/abs/2203.09001