Estimation and Inference in Boundary Discontinuity Designs: Location-Based Methods

Matias Cattaneo, Rocio Titiunik and Ruiqi Rae Yu

Papers from arXiv.org

Abstract: 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 the statistical properties of local polynomial treatment effect estimators employing location information for each unit. We develop pointwise and uniform estimation and inference methods for both the conditional treatment effect function at the assignment boundary as well as for transformations thereof, which aggregate information along the boundary. We illustrate our methods with an empirical application. Companion general-purpose software is provided.

Date: 2025-05, Revised 2025-10
New Economics Papers: this item is included in nep-ecm
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