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Dynamic Regression Discontinuity: An Event-Study Approach

Francesco Ruggieri

arXiv 26 Jul 2023 · Econometrics

arXiv:2307.14203 · PDF · DOI · OpenAlex · Extracted main text

Abstract

I propose a novel argument to identify economically interpretable intertemporal treatment effects in dynamic regression discontinuity designs (RDDs). Specifically, I develop a dynamic potential outcomes model and reformulate two assumptions from the difference-in-differences literature, no anticipation and common trends, to attain point identification of cutoff-specific impulse responses. The estimand of each target parameter can be expressed as the sum of two static RDD contrasts, thereby allowing for nonparametric estimation and inference with standard local polynomial methods. I also propose a nonparametric approach to aggregate treatment effects across calendar time and treatment paths, leveraging a limited path independence restriction to reduce the dimensionality of the parameter space. I apply this method to estimate the dynamic effects of school district expenditure authorizations on housing prices in Wisconsin.

Citation extraction

65
references
141
in-text mentions
65
distinct cited
0
self-citations
17,276
main-text words

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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
1Yu-Chin Hsu \ Shu Shen (2024) Dynamic Regression Discontinuity under Treatment Effect Heterogeneity1.000104100%
2Barbara Biasi, Julien Lafortune \ David Schönholzer (2025) What Works and for Whom? Effectiveness and Efficiency of School Capital Investments Across the U.S1.00094100%
3Stephanie Cellini, Fernando Ferreira \ Jesse Rothstein (2010) The Value of School Facility Investments: Evidence from a Dynamic Regression Discontinuity Design1.00094100%
4Jason Baron (2022) School Spending and Student Outcomes: Evidence from Revenue Limit Elections in Wisconsin1.00054100%
5Brantly Callaway \ Pedro Sant'Anna (2021) Difference-in-Differences with Multiple Time Periods1.00053100%
6Sebastian Calonico, Matias Cattaneo \ Rocío Titiunik (2014) Robust Nonparametric Confidence Intervals for Regression Discontinuity Designs0.9209378%
7Carolyn Abott, Vladimir Kogan, Stéphane Lavertu \ Zachary Peskowitz (2020) School District Operational Spending and Student Outcomes: Evidence from Tax Elections in Seven States0.84333100%
8Guido Imbens \ Karthik Kalyanaraman (2012) Optimal Bandwidth Choice for the Regression Discontinuity Estimator0.73732100%
9Jason Baron, Joshua Hyman \ Brittany Vasquez (2024) Public School Funding, School Quality, and Adult Crime0.64422100%
10Rajeev Darolia (2013) Integrity versus Access? The Effect of Federal Financial Aid Availability on Postsecondary Enrollment0.64422100%

Showing the top 10 of 65 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
1[c] tabularc Structural Extrapolation in Regression Discontinuity Designs with an Application to School Expenditure Referenda tabular0.51121