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Regression discontinuity: review with extensions

Authors
Choi, Jin-youngLee, Myoung-jae
Issue Date
12월-2017
Publisher
SPRINGER
Keywords
Regression discontinuity; Instrumental variable estimator; Nonparametrics
Citation
STATISTICAL PAPERS, v.58, no.4, pp.1217 - 1246
Indexed
SCIE
SCOPUS
Journal Title
STATISTICAL PAPERS
Volume
58
Number
4
Start Page
1217
End Page
1246
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/81237
DOI
10.1007/s00362-016-0745-z
ISSN
0932-5026
Abstract
In treatment effect analysis, often the treatment takes a particular structure: 'on' if an underlying continuous variable crosses a threshold, and 'off' otherwise. Such a treatment occurs in various institutional settings such as a test score crossing a threshold to graduate, or income falling below a threshold to qualify for an aid. In this kind of cases, the study design is called 'regression discontinuity (RD)', which is popular in analyzing observational data, as long as the treatment takes the required form. This paper reviews RD to convey its essentials, and provides some extensions. First, the main RD idea based on local randomization due to an institutional/legal break is introduced. Second, treatment effects identified by RD are explored. Third, popular RD estimators are reviewed. Fourth, main specification tests are examined. Fifth, special RD topics are reviewed. Also, an empirical illustration is provided.
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