Interpreting regression discontinuity designs with multiple cutoffs

Matias D. Cattaneo, Luke Keele, Rocío Titiunik, Gonzalo Vazquez-Bare

Research output: Contribution to journalArticle

39 Scopus citations

Abstract

We consider a regression discontinuity (RD) design where the treatment is received if a score is above a cutoff, but the cutoff may vary for each unit in the sample instead of being equal for all units. This multi-cutoff regression discontinuity design is very common in empirical work, and researchers often normalize the score variable and use the zero cutoff on the normalized score for all observations to estimate a pooled RD treatment effect. We formally derive the form that this pooled parameter takes and discuss its interpretation under different assumptions. We show that this normalizing-and-pooling strategy so commonly employed in practice may not fully exploit all the information available in a multi-cutoff RD setup. We illustrate our methodological results with three empirical examples based on vote shares, population, and test scores.

Original languageEnglish (US)
Pages (from-to)1229-1248
Number of pages20
JournalJournal of Politics
Volume78
Issue number4
DOIs
StatePublished - Oct 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Sociology and Political Science

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