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A Test for Instrument Validity
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DOI：10.3982/ECTA11974.png)
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Abstract
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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.
Keywords:
Treatment effects
instrumental variable
specification test
bootstrap
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