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Efficient Difference-in-Differences Estimation with High-Dimensional Common Trend Confounding

Michael Zimmert

arXiv 5 Sep 2018 · Econometrics · 7 citations (OpenAlex)

arXiv:1809.01643 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This study considers various semiparametric difference-in-differences models under different assumptions on the relation between the treatment group identifier, time and covariates for cross-sectional and panel data. The variance lower bound is shown to be sensitive to the model assumptions imposed implying a robustness-efficiency trade-off. The obtained efficient influence functions lead to estimators that are rate double robust and have desirable asymptotic properties under weak first stage convergence conditions. This enables to use sophisticated machine-learning algorithms that can cope with settings where common trend confounding is high-dimensional. The usefulness of the proposed estimators is assessed in an empirical example. It is shown that the efficiency-robustness trade-offs and the choice of first stage predictors can lead to divergent empirical results in practice.

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49
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79
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distinct cited
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Chernozhukov, Victor, Chetverikov, Denis, Demirer, Mert, Duflo, Esth… (2018) Double/Debiased Machine Learning for Treatment and Structural Parameters1.00093100%
2Abadie, Alberto (2005) Semiparametric Difference-in-Differences Estimators1.00064100%
3Sant'Anna, Pedro H. C., Zhao, Jun B (2020) Doubly Robust Difference-in-Differences Estimators1.00053100%
4Chang, Neng-Chieh (2020) Double/debiased machine learning for difference-in-differences models0.73732100%
5Lechner, Michael (2010) The Estimation of Causal Effects by Difference-in-Difference Methods0.73732100%
6Graham, Bryan S (2011) Efficiency bounds for missing data models with semiparametric restrictions0.69351100%
7Graham, Bryan S, Pinto, Cristine Campos de Xavier, Egel, Daniel (2016) Efficient estimation of data combination models by the method of auxiliary-to-study tilting (AST)0.64422100%
8Angrist, Joshua D., Acemoglu, Daron (2001) Consequences of Employment Protection? The Case of the Americans with Disabilities Act0.51121100%
9Bickel, Peter J., Klaassen, Chris A.J., Ritov, Ya'acov, Wellner, Jon A (1993) Efficient and Adaptive Estimation for Semiparametric Models0.51121100%
10Hahn, Jinyong (1998) On the Role of the Propensity Score in Efficient Semiparametric Estimation of Average Treatment Effects0.51121100%

Showing the top 10 of 49 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Doubly Robust Difference-in-Differences Estimators0.92843
2Machine Learning for Staggered Difference-in-Differences and Dynamic Treatment Effect Heterogeneity0.92843
3Sensitivity Analysis for Treatment Effects in Difference-in-Differences Models using Riesz Representation0.84333
4Difference-in-Differences with Time-varying Continuous Treatments Using Double/Debiased Machine Learning0.64422
5Difference-in-differences for mediation analysis using double machine learning0.64422
61908.087790.40511
7Conditional Triple Difference-in-Differences0.40511
8Semiparametric Triple Difference Estimators0.40511
92606.247850.40511