TY - JOUR AU - Heckman,James J. AU - Urzua,Sergio AU - Vytlacil,Edward J. TI - Understanding Instrumental Variables in Models with Essential Heterogeneity JF - National Bureau of Economic Research Working Paper Series VL - No. 12574 PY - 2006 Y2 - October 2006 UR - http://www.nber.org/papers/w12574 L1 - http://www.nber.org/papers/w12574.pdf N1 - Author contact info: James J. Heckman Department of Economics The University of Chicago 1126 E. 59th Street Chicago, IL 60637 Tel: 773/702-0634 Fax: 773/702-8490 E-Mail: jheckman@uchicago.edu Sergio Urzua 1401 East Hyde Park Blvd. #901 Chicago, IL, 60615 E-Mail: surzua@uchicago.edu Edward J. Vytlacil Department of Economics Yale University Box 208281 New Haven, CT 06520-8281 Tel: 203-432-3244 Fax: (203) 432-6167 E-Mail: edward.vytlacil@yale.edu M1 - published as Heckman, James J., Sergio Urzua and Edward Vytlacil. "Understanding Instrumental Variables In Models With Essential Heterogeneity," Review of Economics and Statistics, 2006, v88(3,Aug), 389-432. AB - 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. ER -