Matias D. Cattaneo, Rocio Titiunik, Ruiqi Rae Yu
arXiv 12 May 2025 · Statistics — Methodology
arXiv:2505.07989 · PDF · Extracted main text
Boundary discontinuity designs -- also known as Multi-Score Regression Discontinuity (RD) designs, with Geographic RD designs as a prominent example -- are often used in empirical research to learn about causal treatment effects along a continuous assignment boundary defined by a bivariate score. This article introduces the R package rd2d, which implements and extends the methodological results developed in Cattaneo, Titiunik and Yu (2025) for boundary discontinuity designs. The package employs local polynomial estimation and inference using either the bivariate score or a univariate distance-to-boundary metric. It features novel data-driven bandwidth selection procedures, and offers both pointwise and uniform estimation and inference along the assignment boundary. The numerical performance of the package is demonstrated through a simulation study.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Matias D Cattaneo, Rocio Titiunik, and Ruiqi Rae Yu (2025) Estimation and inference in boundary discontinuity designs self | 1.000 | 11 | 5 | 100% |
| 2 | Sebastian Calonico, Matias D. Cattaneo, and Max H. Farrell (2018) On the effect of bias estimation on coverage accuracy in nonparametric inference self | 0.928 | 4 | 3 | 100% |
| 3 | Sebastian Calonico, Matias D. Cattaneo, and Max H. Farrell (2022) Coverage error optimal confidence intervals for local polynomial regression self | 0.928 | 4 | 3 | 100% |
| 4 | Juliana Londoño-Vélez, Catherine Rodrǵuez, and Fabio Sánchez (2020) Upstream and downstream impacts of college merit-based financial aid for low-income students: Ser pilo paga in colombia | 0.874 | 5 | 2 | 100% |
| 5 | Luke J. Keele and Rocio Titiunik (2015) Geographic boundaries as regression discontinuities self | 0.737 | 3 | 2 | 100% |
| 6 | Sebastian Calonico, Matias D. Cattaneo, and Rocio Titiunik (2014) Robust nonparametric confidence intervals for regression-discontinuity designs self | 0.644 | 2 | 2 | 100% |
| 7 | Matias D. Cattaneo, Nicolás Idrobo, and Rocio Titiunik (2024) A Practical Introduction to Regression Discontinuity Designs: Extensions self | 0.644 | 2 | 2 | 100% |
| 8 | John P Papay, John B Willett, and Richard J Murnane (2011) Extending the regression-discontinuity approach to multiple assignment variables | 0.644 | 2 | 2 | 100% |
| 9 | Sean F Reardon and Joseph P Robinson (2012) Regression discontinuity designs with multiple rating-score variables | 0.644 | 2 | 2 | 100% |
| 10 | Wolfgang Härdle, Marlene Müller, Stefan Sperlich, Axel Werwatz, et al (2004) Nonparametric and semiparametric models, volume 1 | 0.644 | 2 | 2 | 100% |
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