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A Note on Adapting Propensity Score Matching and Selection Models to Choice Based Samples

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  • James J. Heckman
  • Petra E. Todd

Abstract

The probability of selection into treatment plays an important role in matching and selection models. However, this probability can often not be consistently estimated, because of choice-based sampling designs with unknown sampling weights. This note establishes that the selection and matching procedures can be implemented using propensity scores fit on choice-based samples with misspecified weights, because the odds ratio of the propensity score fit on the choice-based sample is monotonically related to the odds ratio of the true propensity scores.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 15179.

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Date of creation: Jul 2009
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Publication status: published as James J. Heckman & Petra E. Todd, 2009. "A note on adapting propensity score matching and selection models to choice based samples," Econometrics Journal, Royal Economic Society, vol. 12(s1), pages S230-S234, 01.
Handle: RePEc:nbr:nberwo:15179

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  1. Jinyong Hahn, 1998. "On the Role of the Propensity Score in Efficient Semiparametric Estimation of Average Treatment Effects," Econometrica, Econometric Society, Econometric Society, vol. 66(2), pages 315-332, March.
  2. James J. Heckman & Sergio Urzua & Edward Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 389-432, August.
  3. James Heckman & Hidehiko Ichimura & Jeffrey Smith & Petra Todd, 1998. "Characterizing Selection Bias Using Experimental Data," NBER Working Papers 6699, National Bureau of Economic Research, Inc.
  4. Heckman, James J. & Navarro, Salvador, 2003. "Using Matching, Instrumental Variables and Control Functions to Estimate Economic Choice Models," IZA Discussion Papers 768, Institute for the Study of Labor (IZA).
  5. Rajeev H. Dehejia & Sadek Wahba, 2002. "Propensity score matching methods for non-experimental causal studies," Discussion Papers, Columbia University, Department of Economics 0102-14, Columbia University, Department of Economics.
  6. Manski, Charles F., 1986. "Semiparametric analysis of binary response from response-based samples," Journal of Econometrics, Elsevier, Elsevier, vol. 31(1), pages 31-40, February.
  7. A. Smith, Jeffrey & E. Todd, Petra, 2005. "Does matching overcome LaLonde's critique of nonexperimental estimators?," Journal of Econometrics, Elsevier, Elsevier, vol. 125(1-2), pages 305-353.
  8. LaLonde, Robert J, 1986. "Evaluating the Econometric Evaluations of Training Programs with Experimental Data," American Economic Review, American Economic Association, American Economic Association, vol. 76(4), pages 604-20, September.
  9. Heckman, James J & Ichimura, Hidehiko & Todd, Petra, 1998. "Matching as an Econometric Evaluation Estimator," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 65(2), pages 261-94, April.
  10. Manski, Charles F & Lerman, Steven R, 1977. "The Estimation of Choice Probabilities from Choice Based Samples," Econometrica, Econometric Society, Econometric Society, vol. 45(8), pages 1977-88, November.
  11. Keisuke Hirano & Guido W. Imbens & Geert Ridder, 2003. "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," Econometrica, Econometric Society, Econometric Society, vol. 71(4), pages 1161-1189, 07.
  12. Rajeev H. Dehejia & Sadek Wahba, 1998. "Causal Effects in Non-Experimental Studies: Re-Evaluating the Evaluation of Training Programs," NBER Working Papers 6586, National Bureau of Economic Research, Inc.
  13. Ahn, Hyungtaik & Powell, James L., 1993. "Semiparametric estimation of censored selection models with a nonparametric selection mechanism," Journal of Econometrics, Elsevier, Elsevier, vol. 58(1-2), pages 3-29, July.
  14. Heckman, J.J. & Hotz, V.J., 1988. "Choosing Among Alternative Nonexperimental Methods For Estimating The Impact Of Social Programs: The Case Of Manpower Training," University of Chicago - Economics Research Center, Chicago - Economics Research Center 88-12, Chicago - Economics Research Center.
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Cited by:
  1. Steven Lehrer & Gregory Kordas, 2004. "Matching using Semiparametric Propensity Scores," Econometric Society 2004 North American Summer Meetings, Econometric Society 441, Econometric Society.
  2. Richard Disney & Eleonora Fischera & Trudy Owens, . "Has the Introduction of Microfinance Crowded-out Informal Loans in Malawi?," Discussion Papers 10/08, University of Nottingham, CREDIT.
  3. Bernal, Raquel & Fernández, Camila, 2013. "Subsidized childcare and child development in Colombia: Effects of Hogares Comunitarios de Bienestar as a function of timing and length of exposure," Social Science & Medicine, Elsevier, Elsevier, vol. 97(C), pages 241-249.
  4. OKUDAIRA Hiroko & OHTAKE Fumio & KUME Koichi & TSURU Kotaro, 2011. "What Does a Temporary Help Service Job Offer? Empirical suggestions from a Japanese survey," Discussion papers, Research Institute of Economy, Trade and Industry (RIETI) 11077, Research Institute of Economy, Trade and Industry (RIETI).
  5. Heinrich, Carolyn J. & Mueser, Peter R. & Troske, Kenneth & Jeon, Kyung-Seong & Kahvecioglu, Daver C., 2009. "New Estimates of Public Employment and Training Program Net Impacts: A Nonexperimental Evaluation of the Workforce Investment Act Program," IZA Discussion Papers 4569, Institute for the Study of Labor (IZA).
  6. Nancy Nicosia & John M. MacDonald & Rosalie Liccardo Pacula, 2012. "Does Mandatory Diversion to Drug Treatment Eliminate Racial Disparities in the Incarceration of Drug Offenders? An Examination of California’s Proposition 36," NBER Working Papers 18518, National Bureau of Economic Research, Inc.

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