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The Stata Journal
Volume 16 Number 2: pp. 331-367



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Inference in regression discontinuity designs under local randomization

Matias D. Cattaneo
University of Michigan
Ann Arbor, MI
[email protected]
Rocío Titiunik
University of Michigan
Ann Arbor, MI
[email protected]
Gonzalo Vazquez-Bare
University of Michigan
Ann Arbor, MI
[email protected]
Abstract.  We introduce the rdlocrand package, which contains four commands to conduct finite-sample inference in regression discontinuity (RD) designs under a local randomization assumption, following the framework and methods proposed in Cattaneo, Frandsen, and Titiunik (2015, Journal of Causal Inference 3: 1–24) and Cattaneo, Titiunik, and Vazquez-Bare (2016, Working Paper, University of Michigan, http://www-personal.umich.edu/∼titiunik/papers/CattaneoTitiunikVazquezBare2015_wp.pdf). Assuming a known assignment mechanism for units close to the RD cutoff, these functions implement a variety of procedures based on randomization inference techniques. First, the rdrandinf command uses randomization methods to conduct point estimation, hypothesis testing, and confidence interval estimation under different assumptions. Second, the rdwinselect command uses finite-sample methods to select a window near the cutoff where the assumption of randomized treatment assignment is most plausible. Third, the rdsensitivity command uses randomization techniques to conduct a sequence of hypothesis tests for different windows around the RD cutoff, which can be used to assess the sensitivity of the methods and to construct confidence intervals by inversion. Finally, the rdrbounds command implements Rosenbaum (2002, Observational Studies [Springer]) sensitivity bounds for the context of RD designs under local randomization. Companion R functions with the same syntax and capabilities are also provided.
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View all articles by these authors: Matias D. Cattaneo, Rocío Titiunik, Gonzalo Vazquez-Bare

View all articles with these keywords: rdrandinf, rdwinselect, rdsensitivity, rdrbounds, regression discontinuity designs, quasi-experimental techniques, causal inference, randomization inference, finite-sample methods, Fisher's exact p-values, Neyman's repeated sampling approach

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