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Nonparametric analysis of treatment effects in ordered response models

  • Stefan Boes

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    Treatment analyses based on average outcomes do not immediately generalize to the case of ordered responses because the expectation of an ordinally measured variable does not exist. The proposed remedy in this paper is a shift in focus to distributional effects. Assuming a threshold crossing model on both the ordered potential outcomes and the binary treatment variable, and leaving the distribution of error terms and functional forms unspecified, the paper discusses how the treatment effects can be bounded. The construction of bounds is illustrated in a simulated data example. Copyright Springer-Verlag 2013

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    File URL: http://hdl.handle.net/10.1007/s00181-010-0354-y
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    Article provided by Springer in its journal Empirical Economics.

    Volume (Year): 44 (2013)
    Issue (Month): 1 (February)
    Pages: 81-109

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    Handle: RePEc:spr:empeco:v:44:y:2013:i:1:p:81-109
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    1. Edward Vytlacil, 2006. "A Note on Additive Separability and Latent Index Models of Binary Choice: Representation Results," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(4), pages 515-518, 08.
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    3. Flavio Cunha & James J. Heckman & Salvador Navarro, 2007. "The Identification and Economic Content of Ordered Choice Models with Stochastic Thresholds," NBER Technical Working Papers 0340, National Bureau of Economic Research, Inc.
    4. James Heckman, 1997. "Instrumental Variables: A Study of Implicit Behavioral Assumptions Used in Making Program Evaluations," Journal of Human Resources, University of Wisconsin Press, vol. 32(3), pages 441-462.
    5. Coppejans, Mark, 2007. "On efficient estimation of the ordered response model," Journal of Econometrics, Elsevier, vol. 137(2), pages 577-614, April.
    6. Mark Stewart, 2002. "Semi-nonparametric estimation of extended ordered probit models," United Kingdom Stata Users' Group Meetings 2003 04, Stata Users Group.
    7. Joshua D. Angrist & Guido W. Imbens, 1995. "Identification and Estimation of Local Average Treatment Effects," NBER Technical Working Papers 0118, National Bureau of Economic Research, Inc.
    8. Lewbel, Arthur, 1997. "Semiparametric Estimation of Location and Other Discrete Choice Moments," Econometric Theory, Cambridge University Press, vol. 13(01), pages 32-51, February.
    9. Charles F. Manski & John V. Pepper, 2000. "Monotone Instrumental Variables, with an Application to the Returns to Schooling," Econometrica, Econometric Society, vol. 68(4), pages 997-1012, July.
    10. Munkin, Murat K. & Trivedi, Pravin K., 2008. "Bayesian analysis of the ordered probit model with endogenous selection," Journal of Econometrics, Elsevier, vol. 143(2), pages 334-348, April.
    11. Azeem Shaikh & Edward Vytlacil, 2005. "Threshold Crossing Models and Bounds on Treatment Effects: A Nonparametric Analysis," NBER Technical Working Papers 0307, National Bureau of Economic Research, Inc.
    12. Manski, Charles F., 2000. "Identification problems and decisions under ambiguity: Empirical analysis of treatment response and normative analysis of treatment choice," Journal of Econometrics, Elsevier, vol. 95(2), pages 415-442, April.
    13. Manski, C.F., 1989. "Nonparametric Bounds On Treatment Effects," Working papers 8909, Wisconsin Madison - Social Systems.
    14. Jed DeVaro, 2005. "Teams, Autonomy, and the Financial Performance of Firms," Labor and Demography 0508004, EconWPA.
    15. Edward Vytlacil, 2002. "Independence, Monotonicity, and Latent Index Models: An Equivalence Result," Econometrica, Econometric Society, vol. 70(1), pages 331-341, January.
    16. Bjorklund, Anders & Moffitt, Robert, 1987. "The Estimation of Wage Gains and Welfare Gains in Self-selection," The Review of Economics and Statistics, MIT Press, vol. 69(1), pages 42-49, February.
    17. Stefan Boes & Rainer Winkelmann, 2006. "Ordered response models," AStA Advances in Statistical Analysis, Springer, vol. 90(1), pages 167-181, March.
    18. Roger W. Klein & Robert P. Sherman, 2002. "Shift Restrictions and Semiparametric Estimation in Ordered Response Models," Econometrica, Econometric Society, vol. 70(2), pages 663-691, March.
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    20. Flavio Cunha & James J. Heckman & Salvador Navarro, 2007. "The Identification & Economic Content of Ordered Choice Models with Stochastic Thresholds," Working Papers 200726, Geary Institute, University College Dublin.
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