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Estimation of Causal Effects in Experiments with Multiple Sources of Noncompliance

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Author Info
John Engberg
Dennis Epple
Jason Imbrogno
Holger Sieg
Ron Zimmer
Abstract

The purpose of this paper is to study identification and estimation of causal effects in experiments with multiple sources of noncompliance. This research design arises in many applications in education when access to oversubscribed programs is partially determined by randomization. Eligible households decide whether or not to comply with the intended treatment. The paper treats program participation as the outcome of a decision process with five latent household types. We show that the parameters of the underlying model of program participation are identified. Our proofs of identification are constructive and can be used to design a GMM estimator for all parameters of interest. We apply our new methods to study the effectiveness of magnet programs in a large urban school district. Our findings show that magnet programs help the district to attract and retain students from households that are at risk of leaving the district. These households have higher incomes, are more educated, and have children that score higher on standardized tests than households that stay in district regardless of the outcome of the lottery.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 14842.

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Date of creation: Apr 2009
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Handle: RePEc:nbr:nberwo:14842

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Find related papers by JEL classification:
C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
H75 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Health, Education, and Welfare
I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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  1. Joshua Angrist & Eric Bettinger & Eric Bloom & Elizabeth King & Michael Kremer, 2002. "Vouchers for Private Schooling in Colombia: Evidence from a Randomized Natural Experiment," Natural Field Experiments 0004, The Field Experiments Website. [Downloadable!]
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  2. Cecilia Elena Rouse, 1998. "Private School Vouchers And Student Achievement: An Evaluation Of The Milwaukee Parental Choice Program," The Quarterly Journal of Economics, MIT Press, vol. 113(2), pages 553-602, May. [Downloadable!] (restricted)
  3. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  4. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January. [Downloadable!] (restricted)
  5. Angrist, Joshua D, 1990. "Lifetime Earnings and the Vietnam Era Draft Lottery: Evidence from Social Security Administrative Records," American Economic Review, American Economic Association, vol. 80(3), pages 313-36, June.
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  6. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects and Econometric Policy Evaluation," NBER Working Papers 11259, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  7. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-75, March. [Downloadable!] (restricted)
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  8. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-59, July. [Downloadable!] (restricted)
    Other versions:
  9. Alberto Abadie & Guido W. Imbens, 2006. "Large Sample Properties of Matching Estimators for Average Treatment Effects," Econometrica, Econometric Society, vol. 74(1), pages 235-267, 01. [Downloadable!] (restricted)
  10. Lee, Lung-Fei, 1979. "Identification and Estimation in Binary Choice Models with Limited (Censored) Dependent Variables," Econometrica, Econometric Society, vol. 47(4), pages 977-96, July. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.


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