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When Can We Use Two-Way Fixed-Effects (TWFE): A Comparison of TWFE and Novel Dynamic Difference-in-Differences Estimators

Tobias Rüttenauer, Ozan Aksoy

arXiv 15 Feb 2024 · Econometrics · 9 citations (OpenAlex)

arXiv:2402.09928 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The conventional Two-Way Fixed-Effects (TWFE) estimator has come under scrutiny lately. Recent literature has revealed potential shortcomings of TWFE when the treatment effects are heterogeneous. Scholars have developed new advanced dynamic Difference-in-Differences (DiD) estimators to tackle these potential shortcomings. However, confusion remains in applied research as to when the conventional TWFE is biased and what issues the novel estimators can and cannot address. In this study, we first provide an intuitive explanation of the problems of TWFE and elucidate the key features of the novel alternative DiD estimators. We then systematically demonstrate the conditions under which the conventional TWFE is inconsistent. We employ Monte Carlo simulations to assess the performance of dynamic DiD estimators under violations of key assumptions, which likely happens in applied cases. While the new dynamic DiD estimators offer notable advantages in capturing heterogeneous treatment effects, we show that the conventional TWFE performs generally well if the model specifies an event-time function. All estimators are equally sensitive to violations of the parallel trends assumption, anticipation effects or violations of time-varying exogeneity. Despite their advantages, the new dynamic DiD estimators tackle a very specific problem and they do not serve as a universal remedy for violations of the most critical assumptions. We finally derive, based on our simulations, recommendations for how and when to use TWFE and the new DiD estimators in applied research.

Citation extraction

37
references
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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
1Callaway, B. and Sant'Anna, P. H (2021) Difference-in-Differences with multiple time periods1.000145100%
2Wooldridge, J. M (2021) Two-Way Fixed Effects, the Two-Way Mundlak Regression, and Difference-in-Differences Estimators1.000125100%
3Borusyak, K., Jaravel, X., and Spiess, J (2024) Revisiting Event-Study Designs: Robust and Efficient Estimation1.00095100%
4Athey, S., Bayati, M., Doudchenko, N., Imbens, G., and Khosravi, K (2021) Matrix completion methods for causal panel data models1.00093100%
5Sun, L. and Abraham, S (2021) Estimating dynamic treatment effects in event studies with heterogeneous treatment effects1.00073100%
6Roth, J., Sant'Anna, P. H., Bilinski, A., and Poe, J (2023) What's trending in difference-in-differences? A synthesis of the recent econometrics literature1.00054100%
7Goodman-Bacon, A (2021) Difference-in-differences with variation in treatment timing0.96510590%
8Chiu, A., Lan, X., Liu, Z., and Xu, Y (2023) What To Do (and Not to Do) with Causal Panel Analysis under Parallel Trends: Lessons from A Large Reanalysis Study0.92844100%
9De Chaisemartin, C. and D'Haultfuille, X (2020) Two-Way Fixed Effects Estimators with Heterogeneous Treatment Effects0.84333100%
10Wooldridge, J. M (2010) Econometric Analysis of Cross Section and Panel Data0.73732100%

Showing the top 10 of 37 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
1Refining the Notion of No Anticipation in Difference-in-Differences Studies0.40511