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Identification of Treatment Effects Using Control Functions in Models With Continuous, Endogenous Treatment and Heterogeneous Effects

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 alternat...

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Published in:	Econometrica 2008-09, Vol.76 (5), p.1191-1206
Main Authors:	Florens, J. P., Heckman, J. J., Meghir, C., Vytlacil, E.
Format:	Article
Language:	English
Subjects:	Applications Coefficients Continuous treatment models Continuous treatments control function Econometric models Econometrics Economic models Effects endogenous treatments Estimators Exact sciences and technology heterogeneous treatment effects identification Instrumental variables Instrumental variables estimation Insurance, economics, finance Logical givens Mathematical analysis Mathematical functions Mathematics Modeling Nonparametric models nonseparable models Notes and Comments Polynomials Probability and statistics Real functions Regression analysis Scalars Sciences and techniques of general use Statistics Stochastic models Studies
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container_end_page	1206
container_issue	5
container_start_page	1191
container_title	Econometrica
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creator	Florens, J. P. Heckman, J. J. Meghir, C. Vytlacil, E.
description	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.
doi_str_mv	10.3982/ECTA5317
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source	EconLit s plnými texty; International Bibliography of the Social Sciences (IBSS); Wiley; JSTOR Archival Journals and Primary Sources Collection
subjects	Applications Coefficients Continuous treatment models Continuous treatments control function Econometric models Econometrics Economic models Effects endogenous treatments Estimators Exact sciences and technology heterogeneous treatment effects identification Instrumental variables Instrumental variables estimation Insurance, economics, finance Logical givens Mathematical analysis Mathematical functions Mathematics Modeling Nonparametric models nonseparable models Notes and Comments Polynomials Probability and statistics Real functions Regression analysis Scalars Sciences and techniques of general use Statistics Stochastic models Studies
title	Identification of Treatment Effects Using Control Functions in Models With Continuous, Endogenous Treatment and Heterogeneous Effects
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