# Minimum distance estimator for sharp regression discontinuity with multiple running variables

*Jin-Young Choi* () and
*Myoung-jae Lee*

*Economics Letters*, 2018, vol. 162, issue C, 10-14

**Abstract:**
In typical regression discontinuity, a running variable (or ‘score’) crosses a cutoff to determine a treatment. There are, however, many regression discontinuity cases where multiple scores have to cross all of their cutoffs to get treated. One approach to deal with these cases is one-dimensional localization using a single score on the subpopulation with all the other scores already crossing the cutoffs (“conditional one-dimensional localization approach, CON”), which is, however, inconsistent when partial effects are present which occur when some, but not all, scores cross their cutoffs. Another approach is multi-dimensional localization explicitly allowing for partial effects, which is, however, less efficient than CON due to more localizations than in CON. We propose a minimum distance estimator that is at least as efficient as CON, yet consistent even when partial effects are present. A simulation study demonstrates these characteristics of the minimum distance estimator.

**Keywords:** Regression discontinuity; Multiple running variables; Minimum distance estimator (search for similar items in EconPapers)

**JEL-codes:** C14 C21 (search for similar items in EconPapers)

**Date:** 2018

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**Persistent link:** https://EconPapers.repec.org/RePEc:eee:ecolet:v:162:y:2018:i:c:p:10-14

**DOI:** 10.1016/j.econlet.2017.10.002

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