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The specification of the propensity score in multilevel observational studies

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  • Bruno Arpino
  • Fabrizia Mealli

Abstract

Propensity Score Matching (PSM) has become a popular approach to estimation of causal effects. It relies on the assumption that selection into a treatment can be explained purely in terms of observable characteristics (the unconfoundedness assumption) and on the property that balancing on the propensity score is equivalent to balancing on the observed covariates. Several applications in social sciences are characterized by a hierarchical structure of data: units at the first level (e.g., individuals) clustered into groups (e.g., provinces). In this paper we explore the use of multilevel models for the estimation of the propensity score for such hierarchical data when one or more relevant cluster-level variables is unobserved. We compare this approach with alternative ones, like a single level model with cluster dummies. By using Monte Carlo evidence we show that multilevel specifications usually achieve reasonably good balancing in cluster level unobserved covariates and consequently reduce the omitted variable bias. This is also the case for the dummy model.

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Bibliographic Info

Paper provided by "Carlo F. Dondena" Centre for Research on Social Dynamics (DONDENA), Università Commerciale Luigi Bocconi in its series Working Papers with number 006.

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Length: 19 pages
Date of creation: Oct 2008
Date of revision:
Handle: RePEc:don:donwpa:006

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Related research

Keywords: propensity score; multilevel studies; unconfoundedness; causal inferences;

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References

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  1. Zhao, Zhong, 2008. "Sensitivity of propensity score methods to the specifications," Economics Letters, Elsevier, Elsevier, vol. 98(3), pages 309-319, March.
  2. Guido Imbens, 2000. "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," Econometric Society World Congress 2000 Contributed Papers 1166, Econometric Society.
  3. repec:att:wimass:8909 is not listed on IDEAS
  4. Ichino, Andrea & Mealli, Fabrizia & Nannicini, Tommaso, 2006. "From Temporary Help Jobs to Permanent Employment: What Can We Learn from Matching Estimators and their Sensitivity?," CEPR Discussion Papers, C.E.P.R. Discussion Papers 5736, C.E.P.R. Discussion Papers.
  5. 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.
  6. Alberto Abadie & Guido W. Imbens, 2006. "Large Sample Properties of Matching Estimators for Average Treatment Effects," Econometrica, Econometric Society, Econometric Society, vol. 74(1), pages 235-267, 01.
  7. Alex Bryson, 2002. "The union membership wage premium: an analysis using propensity score matching," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 4953, London School of Economics and Political Science, LSE Library.
  8. Leon, Andrew C. & Hedeker, Donald, 2007. "Quintile stratification based on a misspecified propensity score in longitudinal treatment effectiveness analyses of ordinal doses," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 51(12), pages 6114-6122, August.
  9. repec:ese:iserwp:2006-07 is not listed on IDEAS
  10. Arnstein Aassve & Gianni Betti & Stefano Mazzuco & Letizia Mencarini, 2007. "Marital disruption and economic well-being: a comparative analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(3), pages 781-799.
  11. Friedlander, Daniel & Robins, Philip K, 1995. "Evaluating Program Evaluations: New Evidence on Commonly Used Nonexperimental Methods," American Economic Review, American Economic Association, American Economic Association, vol. 85(4), pages 923-37, September.
  12. Alex Bryson & Richard Dorsett & Susan Purdon, 2002. "The use of propensity score matching in the evaluation of active labour market policies," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 4993, London School of Economics and Political Science, LSE Library.
  13. Caliendo, Marco & Kopeinig, Sabine, 2005. "Some Practical Guidance for the Implementation of Propensity Score Matching," IZA Discussion Papers 1588, Institute for the Study of Labor (IZA).
  14. Richard Blundell & Lorraine Dearden & Barbara Sianesi, 2004. "Evaluating the Impact of Education on Earnings in the UK: Models, Methods and Results from the NCDS," CEE Discussion Papers, Centre for the Economics of Education, LSE 0047, Centre for the Economics of Education, LSE.
  15. Oakes, J. Michael, 2004. "The (mis)estimation of neighborhood effects: causal inference for a practicable social epidemiology," Social Science & Medicine, Elsevier, Elsevier, vol. 58(10), pages 1929-1952, May.
  16. Guido Imbens & Jeffrey Wooldridge, 2008. "Recent developments in the econometrics of program evaluation," CeMMAP working papers, Centre for Microdata Methods and Practice, Institute for Fiscal Studies CWP24/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  17. Jeffrey Smith, 2000. "A Critical Survey of Empirical Methods for Evaluating Active Labor Market Policies," UWO Department of Economics Working Papers, University of Western Ontario, Department of Economics 20006, University of Western Ontario, Department of Economics.
  18. Heckman, James J & Ichimura, Hidehiko & Todd, Petra E, 1997. "Matching as an Econometric Evaluation Estimator: Evidence from Evaluating a Job Training Programme," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 64(4), pages 605-54, October.
  19. Guido W. Imbens, 2004. "Nonparametric Estimation of Average Treatment Effects Under Exogeneity: A Review," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 4-29, February.
  20. repec:ese:iserwp:2007-27 is not listed on IDEAS
  21. Hong, Guanglei & Raudenbush, Stephen W., 2006. "Evaluating Kindergarten Retention Policy: A Case Study of Causal Inference for Multilevel Observational Data," Journal of the American Statistical Association, American Statistical Association, American Statistical Association, vol. 101, pages 901-910, September.
  22. Rajeev H. Dehejia, 2002. "Was there a Riverside miracle? An hierarchical framework for evaluating programs with grouped data," Discussion Papers, Columbia University, Department of Economics 0102-15, Columbia University, Department of Economics.
  23. Manski, Charles F, 1990. "Nonparametric Bounds on Treatment Effects," American Economic Review, American Economic Association, American Economic Association, vol. 80(2), pages 319-23, May.
  24. Charles Michalopoulos & Howard S. Bloom & Carolyn J. Hill, 2004. "Can Propensity-Score Methods Match the Findings from a Random Assignment Evaluation of Mandatory Welfare-to-Work Programs?," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 156-179, February.
  25. Wang, Qihua & Lai, Peng, 2011. "Empirical likelihood calibration estimation for the median treatment difference in observational studies," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 55(4), pages 1596-1609, April.
  26. 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.
  27. Rosenbaum, Paul R. & Ross, Richard N. & Silber, Jeffrey H., 2007. "Minimum Distance Matched Sampling With Fine Balance in an Observational Study of Treatment for Ovarian Cancer," Journal of the American Statistical Association, American Statistical Association, American Statistical Association, vol. 102, pages 75-83, March.
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Cited by:
  1. Miquel-Àngel Garcia-López & Albert Solé-Ollé & Elisabet Viladecans-Marsal, 2014. "Do land use policies follow road construction?," Working Papers 2014/2, Institut d'Economia de Barcelona (IEB).

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