arXiv 30 Jun 2025 · Econometrics
arXiv:2507.00289 · PDF · DOI · OpenAlex · Extracted main text
We present a novel approach for extrapolating causal effects away from the margin between treatment and non-treatment in sharp regression discontinuity designs with multiple covariates. Our methods apply both to settings in which treatment is a function of multiple observables and settings in which treatment is determined based on a single running variable. Our key identifying assumption is that conditional average treated and untreated potential outcomes are comonotonic: covariate values associated with higher average untreated potential outcomes are also associated with higher average treated potential outcomes. We provide an estimation method based on local linear regression. Our estimands are weighted average causal effects, even if comonotonicity fails. We apply our methods to evaluate counterfactual mandatory summer school policies.
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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 | Angrist, Joshua D., & Rokkanen, Miikka (2015) Wanna Get Away? Regression Discontinuity Estimation of Exam School Effects Away From the Cutoff | 0.693 | 6 | 2 | 50% |
| 2 | Alan, Sule, Boneva, Teodora, & Ertac, Seda (2019) Ever Failed, Try Again, Succeed Better: Results from a Randomized Educational Intervention on Grit* | 0.644 | 5 | 2 | 40% |
| 3 | Mammen, Enno, Rothe, Christoph, & Schienle, Melanie (2012) Nonparametric regression with nonparametrically generated covariates | 0.644 | 3 | 2 | 67% |
| 4 | Imbens, Guido, & Wager, Stefan (2019) Optimized Regression Discontinuity Designs | 0.644 | 2 | 2 | 100% |
| 5 | Matsudaira, Jordan D (2008) Mandatory summer school and student achievement | 0.644 | 2 | 2 | 100% |
| 6 | Schmeidler, David (1989) Subjective Probability and Expected Utility without Additivity | 0.644 | 2 | 2 | 100% |
| 7 | Imbens, Guido, & Newey, Whitney (2009) Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity | 0.511 | 4 | 2 | 25% |
| 8 | D'Haultfœuille, Xavier, & Février, Philippe (2015) Identification of Nonseparable Triangular Models With Discrete Instruments | 0.511 | 3 | 2 | 33% |
| 9 | Torgovitsky, Alexander (2015) Identification of Nonseparable Models Using Instruments With Small Support | 0.511 | 3 | 2 | 33% |
| 10 | Chernozhukov, Victor, & Hansen, Christian (2005) An IV Model of Quantile Treatment Effects | 0.511 | 2 | 2 | 50% |
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