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American Economic Review Vol. 103 No. 3 2013

What Do Instrumental Variable Models Deliver with Discrete Dependent Variables?

Andrew Chesher; Adam M. Rosen

University College London and Centre for Microdata Methods and Practice, Department of Economics, Gower Street, London WC1E 6BT, United Kingdom.

Abstract

We compare nonparametric instrumental variables (IV) models with linear models and 2SLS methods when dependent variables are discrete. A 2SLS method can deliver a consistent estimator of a Local Average Treatment Effect but is not informative about other treatment effect parameters. The IV models set identify a range of interesting structural and treatment effect parameters. We give set identification results for a counterfactual probability and an Average Treatment Effect in a IV binary threshold crossing model. We illustrate using data on female employment and family size (employed by Joshua Angrist and William Evans (1998)) and compare with their LATE estimates.

DOI
10.1257/aer.103.3.557
Volume
103
Issue
3
Pages
557-562
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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