Analysis of Regression Discontinuity Designs with Multiple Cutoffs or Multiple Scores

TL;DR

This paper introduces the exttt{rdmulti} package for analyzing complex Regression Discontinuity designs involving multiple cutoffs or scores, providing robust estimation, inference, and visualization tools in exttt{Stata} and exttt{R}.

Contribution

It offers the first comprehensive software suite for multi-cutoff and multi-score RD designs, including estimation, inference, and plotting functionalities.

Findings

Provides robust bias-corrected treatment effect estimates.

Enables post-estimation inference and visualization.

Supports both Stata and R implementations.

Abstract

We introduce the \texttt{Stata} (and \texttt{R}) package \texttt{rdmulti}, which includes three commands (\texttt{rdmc}, \texttt{rdmcplot}, \texttt{rdms}) for analyzing Regression Discontinuity (RD) designs with multiple cutoffs or multiple scores. The command \texttt{rdmc} applies to non-cumulative and cumulative multi-cutoff RD settings. It calculates pooled and cutoff-specific RD treatment effects, and provides robust bias-corrected inference procedures. Post estimation and inference is allowed. The command \texttt{rdmcplot} offers RD plots for multi-cutoff settings. Finally, the command \texttt{rdms} concerns multi-score settings, covering in particular cumulative cutoffs and two running variables contexts. It also calculates pooled and cutoff-specific RD treatment effects, provides robust bias-corrected inference procedures, and allows for post-estimation estimation and inference. These commands employ the \texttt{Stata} (and \texttt{R}) package \texttt{rdrobust} for plotting, estimation, and inference. Companion \texttt{R} functions with the same syntax and capabilities are provided.