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Partial identification of the distribution of treatment effects and its confidence sets

  • Fan, Yanqin
  • Park, Sang Soo

In this paper, we study partial identification of the distribution of treatment effects of a binary treatment for ideal randomized experiments, ideal randomized experiments with a known value of a dependence measure, and for data satisfying the selection-on-observables assumption respectively. For ideal randomized experiments, (i) we propose nonparametric estimators of the sharp bounds on the distribution of treatment effects and construct asymptotically valid confidence sets for the distribution of treatment effects; (ii) we propose bias-corrected estimators of the sharp bounds on the distribution of treatment effects; and (iii) we investigate finite sample performances of the proposed confidence sets and the bias-corrected estimators via simulation.

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File URL: http://mpra.ub.uni-muenchen.de/37148/1/MPRA_paper_37148.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 37148.

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Date of creation: 2009
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Handle: RePEc:pra:mprapa:37148
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  12. Carneiro, Pedro & Hansen, Karsten & Heckman, James, 2003. "Estimating distributions of treatment effects with an application to the returns to schooling and measurement of the effects of uncertainty on college choice," Working Paper Series 2003:9, IFAU - Institute for Evaluation of Labour Market and Education Policy.
  13. Dan A. Black & Jeffrey A. Smith & Mark C. Berger & Brett J. Noel, 2002. "Is the Threat of Reemployment Services More Effective than the Services Themselves? Experimental Evidence from the UI System," NBER Working Papers 8825, National Bureau of Economic Research, Inc.
  14. Lee, Myoung-jae, 2005. "Micro-Econometrics for Policy, Program and Treatment Effects," OUP Catalogue, Oxford University Press, number 9780199267699, March.
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  18. Imbens, Guido W & Rubin, Donald B, 1997. "Estimating Outcome Distributions for Compliers in Instrumental Variables Models," Review of Economic Studies, Wiley Blackwell, vol. 64(4), pages 555-74, October.
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  22. Keisuke Hirano & Guido W. Imbens & Geert Ridder, 2000. "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," NBER Technical Working Papers 0251, National Bureau of Economic Research, Inc.
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  24. Galichon, Alfred & Henry, Marc, 2009. "A test of non-identifying restrictions and confidence regions for partially identified parameters," Journal of Econometrics, Elsevier, vol. 152(2), pages 186-196, October.
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  27. Firpo, Sergio Pinheiro & Ridder, Geert, 2010. "Bounds on functionals of the distribution treatment effects," Textos para discussão 201, Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
  28. Fan, Yanqin & Park, Sang Soo, 2010. "Confidence sets for some partially identified parameters," MPRA Paper 37149, University Library of Munich, Germany.
  29. Heckman, James J & Smith, Jeffrey, 1997. "Making the Most Out of Programme Evaluations and Social Experiments: Accounting for Heterogeneity in Programme Impacts," Review of Economic Studies, Wiley Blackwell, vol. 64(4), pages 487-535, October.
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