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Extrapolating Treatment Effects in Multi-Cutoff Regression Discontinuity Designs

Matias D. Cattaneo, Luke Keele, Rocio Titiunik, Gonzalo Vazquez-Bare

arXiv 13 Aug 2018 · Econometrics · publishedJournal of the American Statistical Association (2020) · 12 citations (OpenAlex)

arXiv:1808.04416 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In non-experimental settings, the Regression Discontinuity (RD) design is one of the most credible identification strategies for program evaluation and causal inference. However, RD treatment effect estimands are necessarily local, making statistical methods for the extrapolation of these effects a key area for development. We introduce a new method for extrapolation of RD effects that relies on the presence of multiple cutoffs, and is therefore design-based. Our approach employs an easy-to-interpret identifying assumption that mimics the idea of "common trends" in difference-in-differences designs. We illustrate our methods with data on a subsidized loan program on post-education attendance in Colombia, and offer new evidence on program effects for students with test scores away from the cutoff that determined program eligibility.

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40
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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
1Cattaneo, M. D., Keele, L., Titiunik, R., and Vazquez-Bare, G (2016) Interpreting Regression Discontinuity Designs with Multiple Cutoffs self1.00074100%
2Calonico, S., Cattaneo, M. D., and Farrell, M. H (2018) On the Effect of Bias Estimation on Coverage Accuracy in Nonparametric Inference self1.00053100%
3Calonico, S., Cattaneo, M. D., and Titiunik, R (2014) Robust Nonparametric Confidence Intervals for Regression-Discontinuity Designs self0.92843100%
4Melguizo, T., Sanchez, F., and Velasco, T (2016) Credit for Low-Income Students and Access to and Academic Performance in Higher Education in Colombia: A Regression Discontinuit…0.87462100%
5Calonico, S., Cattaneo, M. D., and Farrell, M. H (2020) a), Coverage Error Optimal Confidence Intervals for Local Polynomial Regression self0.84333100%
6Calonico, S., Cattaneo, M. D., Farrell, M. H., and Titiunik, R (2017) rdrobust: Software for Regression Discontinuity Designs self0.81142100%
7Cattaneo, M. D., Titiunik, R., and Vazquez-Bare, G (2017) Comparing Inference Approaches for RD Designs: A Reexamination of the Effect of Head Start on Child Mortality self0.73732100%
8height .65ex depth -.6ex width 3em\ (2019) b), Regression Discontinuity Designs using Covariates0.64422100%
9Calonico, S., Cattaneo, M. D., and Farrell, M. H (2019) a), nprobust: Nonparametric Kernel-Based Estimation and Robust Bias-Corrected Inference self0.64422100%
10height .65ex depth -.6ex width 3em\ (2020) b), Optimal Bandwidth Choice for Robust Bias Corrected Inference in Regression Discontinuity Designs0.64422100%

Showing the top 10 of 40 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
1Extrapolating Away from the Cutoff in Regression Discontinuity Designs1.000164
2Joint Inference for the Regression Discontinuity Effect and Its External Validity1.000125
3Safe Policy Learning under Regression Discontinuity Designs with Multiple Cutoffs0.96195
4On Extrapolation of Treatment Effects in Multiple-Cutoff Regression Discontinuity Designs0.954236
5Analysis of Regression Discontinuity Designs with Multiple Cutoffs or Multiple Scores0.81142
6Regression Discontinuity Designs0.81142
7A Practical Introduction to Regression Discontinuity Designs: Extensions0.64422
8Boundary estimation in the regression-discontinuity design: Evidence for a merit- and need-based financial aid program0.64422
9Correcting invalid regression discontinuity designs with multiple time period data0.51122
10[c] tabularc Structural Extrapolation in Regression Discontinuity Designs with an Application to School Expenditure Referenda tabular0.51121