Estimation and Inference in Boundary Discontinuity Designs: Location-Based Methods
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| Format: | Preprint |
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2025
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| _version_ | 1866914566085017600 |
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| author | Cattaneo, Matias D. Titiunik, Rocio Yu, Ruiqi Rae |
| author_facet | Cattaneo, Matias D. Titiunik, Rocio Yu, Ruiqi Rae |
| contents | Boundary discontinuity designs are used to learn about causal treatment effects along a continuous assignment boundary that splits units into control and treatment groups according to a bivariate location score. We analyze location-based local polynomial treatment effect estimators that directly employ the bivariate score of each unit. We develop pointwise and uniform estimation and inference methods for the \textit{Boundary Average Treatment Effect Curve} (BATEC), as well as for two aggregated causal parameters: the \textit{Weighted Boundary Average Treatment Effect} (WBATE) and the \textit{Largest Boundary Average Treatment Effect} (LBATE). Our results cover both sharp and fuzzy (imperfect compliance) designs. We illustrate the methods with an empirical application, and provide companion general-purpose software. The supplemental appendix includes additional substantive theoretical results, methodological details, and simulation evidence. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_05670 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimation and Inference in Boundary Discontinuity Designs: Location-Based Methods Cattaneo, Matias D. Titiunik, Rocio Yu, Ruiqi Rae Econometrics Statistics Theory Applications Methodology Boundary discontinuity designs are used to learn about causal treatment effects along a continuous assignment boundary that splits units into control and treatment groups according to a bivariate location score. We analyze location-based local polynomial treatment effect estimators that directly employ the bivariate score of each unit. We develop pointwise and uniform estimation and inference methods for the \textit{Boundary Average Treatment Effect Curve} (BATEC), as well as for two aggregated causal parameters: the \textit{Weighted Boundary Average Treatment Effect} (WBATE) and the \textit{Largest Boundary Average Treatment Effect} (LBATE). Our results cover both sharp and fuzzy (imperfect compliance) designs. We illustrate the methods with an empirical application, and provide companion general-purpose software. The supplemental appendix includes additional substantive theoretical results, methodological details, and simulation evidence. |
| title | Estimation and Inference in Boundary Discontinuity Designs: Location-Based Methods |
| topic | Econometrics Statistics Theory Applications Methodology |
| url | https://arxiv.org/abs/2505.05670 |