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Identification With Imperfect Instruments

Aviv Nevo1; Adam M. Rosen2

1 Northwestern University · 2 UCL Australia

The Review of Economics and Statistics 2012

Dealing with endogenous regressors is a central challenge of applied research. The standard solution is to use instrumental variables that are assumed to be uncorrelated with unobservables. We instead assume (i) the correlation between the instrument and the error term has the same sign as the correlation between the endogenous regressor and the error term, and (ii) that the instrument is less correlated with the error term than is the endogenous regressor. Using these assumptions, we derive analytic bounds for the parameters. We demonstrate the method in two applications.

DOI
10.1162/rest_a_00171
Volume
94 (3)
Pages
659-671
Language
en
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