Testing identifying assumptions in fuzzy regression discontinuity designs

Yoichi Arai, Yu-Chin Hsu, Toru Kitagawa (), Ismael Mourifié and Yuanyuan Wan
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Toru Kitagawa: Institute for Fiscal Studies and University College London
Ismael Mourifié: Institute for Fiscal Studies
Yuanyuan Wan: Institute for Fiscal Studies

No CWP10/19, CeMMAP working papers from Centre for Microdata Methods and Practice, Institute for Fiscal Studies

Abstract: We propose a new specification test for assessing the validity of fuzzy regression discontinuity designs (FRD-validity). We derive a new set of testable implications, characterized by a set of inequality restrictions on the joint distribution of observed outcomes and treatment status at the cut-off. We show that this new characterization exploits all the information in the data useful for detecting violations of FRD-validity. Our approach differs from, and complements existing approaches that test continuity of the distributions of running variables and baseline covariates at the cut-off since ours focuses on the distribution of the observed outcome and treatment status. We show that the proposed test has appealing statistical properties. It controls size in large sample uniformly over a large class of distributions, is consistent against all fixed alternatives, and has non-trivial power against some local alternatives. We apply our test to evaluate the validity of two FRD designs. The test does not reject the FRD-validity in the class size design studied by Angrist and Lavy (1999) and rejects in the insurance subsidy design for poor households in Colombia studied by Miller, Pinto, and Vera-Hernández (2013) for some outcome variables, while existing density tests suggest the opposite in each of the cases.

Keywords: Fuzzy regression discontinuity design; nonparametric test; inequality restriction; multiplier bootstrap (search for similar items in EconPapers)
Date: 2019-03-20
New Economics Papers: this item is included in nep-ias
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Citations: View citations in EconPapers (5)

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Related works:
Journal Article: Testing identifying assumptions in fuzzy regression discontinuity designs (2022)
Working Paper: Testing identifying assumptions in fuzzy regression discontinuity designs (2021)
Working Paper: Testing identifying assumptions in fuzzy regression discontinuity designs (2018)
Working Paper: TESTING IDENTIFYING ASSUMPTIONS IN FUZZY REGRESSION DISCONTINUITY DESIGNS (2018)
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