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A Practical Introduction to Regression Discontinuity Designs: Extensions

Matias D. Cattaneo, Nicolas Idrobo, Rocio Titiunik

arXiv 21 Jan 2023 · Statistics — Methodology · 51 citations (OpenAlex)

arXiv:2301.08958 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This monograph, together with its accompanying first part Cattaneo, Idrobo and Titiunik (2020), collects and expands the instructional materials we prepared for more than $50$ short courses and workshops on Regression Discontinuity (RD) methodology that we taught between 2014 and 2023. In this second monograph, we discuss several topics in RD methodology that build on and extend the analysis of RD designs introduced in Cattaneo, Idrobo and Titiunik (2020). Our first goal is to present an alternative RD conceptual framework based on local randomization ideas. This methodological approach can be useful in RD designs with discretely-valued scores, and can also be used more broadly as a complement to the continuity-based approach in other settings. Then, employing both continuity-based and local randomization approaches, we extend the canonical Sharp RD design in multiple directions: fuzzy RD designs, RD designs with discrete scores, and multi-dimensional RD designs. The goal of our two-part monograph is purposely practical and hence we focus on the empirical analysis of RD designs.

Citation extraction

51
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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, Frandsen, and Titiunik (2015) Randomization Inference in the Regression Discontinuity Design: An Application to Party Advantages in the U.S. Senate self1.00074100%
2Cattaneo and Titiunik (2022) Regression Discontinuity Designs1.00065100%
3Cattaneo, Titiunik, and Vazquez-Bare (2017) Comparing Inference Approaches for RD Designs: A Reexamination of the Effect of Head Start on Child Mortality1.00063100%
4Keele and Titiunik (2015) Geographic Boundaries as Regression Discontinuities1.00063100%
5Londoño-Vélez, Rodrǵuez, and Sánchez (2020) Upstream and downstream impacts of college merit-based financial aid for low-income students: Ser Pilo Paga in Colombia1.00054100%
6Lindo, Sanders, and Oreopoulos (2010) Ability, Gender, and Performance Standards: Evidence from Academic Probation0.92843100%
7Cattaneo, Keele, Titiunik, and Vazquez-Bare (2016) Interpreting Regression Discontinuity Designs with Multiple Cutoffs0.84333100%
8Calonico, Cattaneo, Farrell, and Titiunik (2019) Regression Discontinuity Designs using Covariates0.73732100%
9Calonico, Cattaneo, and Titiunik (2014) Robust Nonparametric Confidence Intervals for Regression-Discontinuity Designs self0.73732100%
10Hahn, Todd, and van der Klaauw (2001) Identification and Estimation of Treatment Effects with a Regression-Discontinuity Design0.73732100%

Showing the top 10 of 51 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
1Regression Discontinuity Designs1.00053
2Analysis of Regression Discontinuity Designs with Multiple Cutoffs or Multiple Scores0.81142
32009.075510.64422
4Inference in Regression Discontinuity Designs under Monotonicity0.64422
5rd2d: Causal Inference in Boundary Discontinuity Designs0.64422
6Boundary Discontinuity Designs: Theory and Practice0.64422
7Extrapolating Away from the Cutoff in Regression Discontinuity Designs0.58531
8A unified test for regression discontinuity designs0.51121
9Manipulation Test for Multidimensional RDD0.51121
10Optimal Bandwidth Choice for Robust Bias Corrected Inference in Regression Discontinuity Designs0.40511