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The Review of Economics and Statistics Vol. 88 No. 3 2006

Understanding Instrumental Variables in Models with Essential Heterogeneity

James J. Heckman1,2,3; Sergio Urzua; Edward Vytlacil4

1 University College Dublin · 2 American Bar Foundation · 3 University of Chicago · 4 Columbia University

Abstract

This paper examines the properties of instrumental variables (IV) applied to models with essential heterogeneity, that is, models where responses to interventions are heterogeneous and agents adopt treatments (participate in programs) with at least partial knowledge of their idiosyncratic response. We analyze two-outcome and multiple-outcome models, including ordered and unordered choice models. We allow for transition-specific and general instruments. We generalize previous analyses by developing weights for treatment effects for general instruments. We develop a simple test for the presence of essential heterogeneity. We note the asymmetry of the model of essential heterogeneity: outcomes of choices are heterogeneous in a general way; choices are not. When both choices and outcomes are permitted to be symmetrically heterogeneous, the method of IV breaks down for estimating treatment parameters.

DOI
10.1162/rest.88.3.389
Volume
88
Issue
3
Pages
389-432
Language
en
Sources
openalex crossref

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