TY - JOUR AU - Florens,Jean-Pierre AU - Heckman,James J. AU - Meghir,Costas AU - Vytlacil,Edward J. TI - Identification of Treatment Effects Using Control Functions in Models with Continuous, Endogenous Treatment and Heterogeneous Effects JF - National Bureau of Economic Research Working Paper Series VL - No. 14002 PY - 2008 Y2 - May 2008 UR - http://www.nber.org/papers/w14002 L1 - http://www.nber.org/papers/w14002.pdf N1 - Author contact info: Jean-Pierre Florens Manufacture des Tabacs Bâtiment F – 4ème étage 21, allée de Brienne 31000 Toulouse – France E-Mail: florens@cict.fr 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: jjh@uchicago.edu Costas Meghir Department of Economics University College London Gower Street London WC1E 6BT ENGLAND E-Mail: c.meghir@ucl.ac.uk 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 AB - We use the control function approach to identify the average treatment effect and the effect of treatment on the treated in models with a continuous endogenous regressor whose impact is heterogeneous. We assume a stochastic polynomial restriction on the form of the heterogeneity but, unlike alternative nonparametric control function approaches, our approach does not require large support assumptions. ER -