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Econometrica Vol. 83 No. 5 2015

A Test for Instrument Validity

Toru Kitagawa

open access

Abstract

This paper develops a specification test for instrument validity in the heterogeneous treatment effect model with a binary treatment and a discrete instrument. The strongest testable implication for instrument validity is given by the condition for nonnegativity of point‐identifiable compliers' outcome densities. Our specification test infers this testable implication using a variance‐weighted Kolmogorov–Smirnov test statistic. The test can be applied to both discrete and continuous outcome cases, and an extension of the test to settings with conditioning covariates is provided.

DOI
10.3982/ecta11974
Volume
83
Issue
5
Pages
2043-2063
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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