IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Bounds on Counterfactual Distributions Under Semi-Monotonicity Constraints

  • Stefan Boes

    ()

    (Socioeconomic Institute, University of Zurich)

This paper explores semi-monotonicity constraints in the distribution of potential outcomes, first, conditional on an instrument, and second, in terms of the response function. The imposed assumptions are strictly weaker than traditional instrumental variables assumptions and can be gainfully employed to bound the counterfactual distributions, even though point identification is only achieved in special cases. The bounds have a simple analytical form and thus have much practical relevance in all instances when strong exogeneity assumptions cannot be credibly invoked. The bounding strategy is illustrated in a simulated data example and applied to the effect of education on smoking.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.econ.uzh.ch/static/wp_soi/wp0920.pdf
File Function: first version, 2009
Download Restriction: no

Paper provided by Socioeconomic Institute - University of Zurich in its series SOI - Working Papers with number 0920.

as
in new window

Length: 38 pages
Date of creation: Dec 2009
Date of revision:
Handle: RePEc:soz:wpaper:0920
Contact details of provider: Postal:
Schönberggasse 1, CH-8001 Zürich

Phone: +41-1-634 21 37
Fax: +41-1-634 49 82
Web page: http://www.econ.uzh.ch/
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Rosen, Adam M., 2008. "Confidence sets for partially identified parameters that satisfy a finite number of moment inequalities," Journal of Econometrics, Elsevier, vol. 146(1), pages 107-117, September.
  2. de Walque, Damien, 2007. "Does education affect smoking behaviors?: Evidence using the Vietnam draft as an instrument for college education," Journal of Health Economics, Elsevier, vol. 26(5), pages 877-895, September.
  3. Jay Bhattacharya & Azeem M. Shaikh & Edward Vytlacil, 2008. "Treatment Effect Bounds under Monotonicity Assumptions: An Application to Swan-Ganz Catheterization," American Economic Review, American Economic Association, vol. 98(2), pages 351-56, May.
  4. Farrell, Phillip & Fuchs, Victor R. & Fuchs, Victor R., 1982. "Schooling and health : The cigarette connection," Journal of Health Economics, Elsevier, vol. 1(3), pages 217-230, December.
  5. Kreider, Brent & Pepper, John V., 2003. "Inferring Disability Status from Corrupt Data," Staff General Research Papers Archive 10228, Iowa State University, Department of Economics.
  6. Blundell, Richard & Gosling, Amanda & Ichimura, Hidehiko & Meghir, Costas, 2004. "Changes in the Distribution of Male and Female Wages Accounting for Employment Composition Using Bounds," IZA Discussion Papers 1350, Institute for the Study of Labor (IZA).
  7. Guido Imbens & Charles F. Manski, 2003. "Confidence intervals for partially identified parameters," CeMMAP working papers CWP09/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  8. Monique de Haan, 2011. "The Effect of Parents' Schooling on Child's Schooling: A Nonparametric Bounds Analysis," Journal of Labor Economics, University of Chicago Press, vol. 29(4), pages 859 - 892.
  9. Michael Gerfin & Martin Schellhorn, 2006. "Nonparametric bounds on the effect of deductibles in health care insurance on doctor visits - Swiss evidence," Health Economics, John Wiley & Sons, Ltd., vol. 15(9), pages 1011-1020.
  10. Tsunao Okumura & Emiko Usui, 2014. "Concave‐monotone treatment response and monotone treatment selection: With an application to the returns to schooling," Quantitative Economics, Econometric Society, vol. 5, pages 175-194, 03.
  11. Franque Grimard & Daniel Parent, 2006. "Education And Smoking: Were Vietnam War Draft Avoiders Also More Likely To Avoid Smoking?," Departmental Working Papers 2006-05, McGill University, Department of Economics.
  12. Tenn, Steven & Herman, Douglas A. & Wendling, Brett, 2010. "The role of education in the production of health: An empirical analysis of smoking behavior," Journal of Health Economics, Elsevier, vol. 29(3), pages 404-417, May.
  13. Janet Currie & Enrico Moretti, 2003. "Mother's Education and the Intergenerational Transmission of Human Capital: Evidence from College Openings," The Quarterly Journal of Economics, Oxford University Press, vol. 118(4), pages 1495-1532.
  14. Charles F. Manski & Elie Tamer, 2002. "Inference on Regressions with Interval Data on a Regressor or Outcome," Econometrica, Econometric Society, vol. 70(2), pages 519-546, March.
  15. Andrew M Jones & John Wildman, 2005. "Disentangling the relationship between health and income," Health, Econometrics and Data Group (HEDG) Working Papers 05/07, HEDG, c/o Department of Economics, University of York.
  16. Kenkel, D.S., 1988. "Health Behavior, Health Knowledge, And Schooling," Papers 10-88-3, Pennsylvania State - Department of Economics.
  17. Kreider, Brent & Hill, Steven C., 2005. "Partially Identifying Treatment Effects with an Application to Covering the Uninsured," Staff General Research Papers Archive 12296, Iowa State University, Department of Economics.
  18. Jörg Stoye, 2008. "More on confidence intervals for partially identified parameters," CeMMAP working papers CWP11/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  19. Gonzalez, Libertad, 2004. "Nonparametric Bounds on the Returns to Language Skills," IZA Discussion Papers 1098, Institute for the Study of Labor (IZA).
  20. Andrew Chesher, 2010. "Instrumental Variable Models for Discrete Outcomes," Econometrica, Econometric Society, vol. 78(2), pages 575-601, 03.
  21. Cunha, Flavio & Heckman, James J. & Navarro, Salvador, 2007. "The Identification and Economic Content of Ordered Choice Models with Stochastic Thresholds," IZA Discussion Papers 2940, Institute for the Study of Labor (IZA).
  22. Manski, C.F., 1989. "Nonparametric Bounds On Treatment Effects," Working papers 8909, Wisconsin Madison - Social Systems.
  23. Rosenzweig, Mark R, 1995. "Why Are There Returns to Schooling?," American Economic Review, American Economic Association, vol. 85(2), pages 153-58, May.
  24. Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 147-165.
  25. Joseph P. Romano & Azeem M. Shaikh, 2010. "Inference for the Identified Set in Partially Identified Econometric Models," Econometrica, Econometric Society, vol. 78(1), pages 169-211, 01.
  26. Kreider, Brent & Pepper, John V., 2003. "Disability and Employment: Reevaluating the Evidence in Light of Reporting Errors," Staff General Research Papers Archive 10229, Iowa State University, Department of Economics.
  27. Andrews, Donald W.K. & Guggenberger, Patrik, 2009. "Validity Of Subsampling And “Plug-In Asymptotic” Inference For Parameters Defined By Moment Inequalities," Econometric Theory, Cambridge University Press, vol. 25(03), pages 669-709, June.
  28. Victor Chernozhukov & Han Hong & Elie Tamer, 2007. "Estimation and Confidence Regions for Parameter Sets in Econometric Models," Econometrica, Econometric Society, vol. 75(5), pages 1243-1284, 09.
  29. Donald Kenkel & Dean Lillard & Alan Mathios, 2006. "The Roles of High School Completion and GED Receipt in Smoking and Obesity," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 635-660, July.
  30. Guggenberger, Patrik & Hahn, Jinyong & Kim, Kyooil, 2008. "Specification testing under moment inequalities," Economics Letters, Elsevier, vol. 99(2), pages 375-378, May.
  31. 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.
  32. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-55, March-Apr.
  33. Stefan Boes, 2009. "Partial Identification of Discrete Counterfactual Distributions with Sequential Update of Information," SOI - Working Papers 0918, Socioeconomic Institute - University of Zurich.
  34. John F. Ermisch & Marco Francesconi, 2001. "Family structure and children's achievements," Journal of Population Economics, Springer;European Society for Population Economics, vol. 14(2), pages 249-270.
  35. Charles F. Manski & John V. Pepper, 1998. "Monotone Instrumental Variables: With an Application to the Returns to Schooling," Virginia Economics Online Papers 308, University of Virginia, Department of Economics.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:soz:wpaper:0920. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marita Kieser)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.