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Correcting invalid regression discontinuity designs with multiple time period data

Dor Leventer, Daniel Nevo

arXiv 11 Aug 2024 · Econometrics

arXiv:2408.05847 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Regression Discontinuity (RD) designs rely on the continuity of potential outcome means at the cutoff, but this assumption often fails when other treatments or policies are implemented at this cutoff. We characterize the bias in sharp and fuzzy RD designs due to violations of continuity, and develop a general identification framework that leverages multiple time periods to estimate local effects on the (un)treated. We extend the framework to settings with carry-over effects and time-varying running variables, highlighting additional assumptions needed for valid causal inference. We propose an estimation framework that extends the conventional and bias-corrected single-period local linear regression framework to multiple periods and different sampling schemes, and study its finite-sample performance in simulations. Finally, we revisit a prior study on fiscal rules in Italy to illustrate the practical utility of our approach.

Citation extraction

44
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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
1Hahn, Jinyong, Todd, Petra, Van der Klaauw, Wilbert (2001) Identification and estimation of treatment effects with a regression-discontinuity design1.00053100%
2Grembi, Veronica, Nannicini, Tommaso, Troiano, Ugo (2016) Do fiscal rules matter?0.96911591%
3McCrary, Justin (2008) Manipulation of the running variable in the regression discontinuity design: A density test0.92843100%
4Calonico, Sebastian, Cattaneo, Matias D, Titiunik, Rocio (2014) Robust nonparametric confidence intervals for regression-discontinuity designs0.89911473%
5Imbens, Guido, Kalyanaraman, Karthik (2012) Optimal bandwidth choice for the regression discontinuity estimator0.8435460%
6Lee, David S, Lemieux, Thomas (2010) Regression discontinuity designs in economics0.84333100%
7Cattaneo, Matias D, Titiunik, Rocio (2022) Regression discontinuity designs0.81142100%
8Hartman, Erin, Hidalgo, F Daniel (2018) An equivalence approach to balance and placebo tests0.81142100%
9Picchetti, Pedro, Pinto, Cristine CX, Shinoki, Stephanie T (2024) Difference-in-Discontinuities: Estimation, Inference and Validity Tests0.73732100%
10Roth, Jonathan, Sant’Anna, Pedro HC, Bilinski, Alyssa, Poe, John (2023) What’s trending in difference-in-differences? A synthesis of the recent econometrics literature0.73732100%

Showing the top 10 of 44 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
1Difference-in-Discontinuities: Estimation, Inference and Validity Tests0.51121