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A note on bounding average treatment effects

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  • Lafférs, Lukáš

Abstract

Imposing the monotone treatment selection (MTS) assumption and the monotone instrumental variable (MIV) assumption implies bounds on average treatment effect that differ from those commonly reported in the applied literature. Instead, for the bounds to be correct, we should use an MTS assumption conditional on the value of a monotone instrument (cMTS). In this paper, we present an empirical example of bounding the effect of the mother’s education on her children’s education, in which the MTS and cMTS assumptions lead to considerably different bounds on the treatment effects.

Suggested Citation

  • Lafférs, Lukáš, 2013. "A note on bounding average treatment effects," Economics Letters, Elsevier, vol. 120(3), pages 424-428.
  • Handle: RePEc:eee:ecolet:v:120:y:2013:i:3:p:424-428
    DOI: 10.1016/j.econlet.2013.05.029
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    References listed on IDEAS

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    1. Manski, Charles F, 1990. "Nonparametric Bounds on Treatment Effects," American Economic Review, American Economic Association, vol. 80(2), pages 319-323, May.
    2. Gundersen, Craig & Kreider, Brent, 2009. "Bounding the effects of food insecurity on children's health outcomes," Journal of Health Economics, Elsevier, vol. 28(5), pages 971-983, September.
    3. Charles F. Manski, 2013. "Identification of treatment response with social interactions," Econometrics Journal, Royal Economic Society, vol. 16(1), pages 1-23, February.
    4. 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.
    5. Charles F. Manski, 1997. "Monotone Treatment Response," Econometrica, Econometric Society, vol. 65(6), pages 1311-1334, November.
    6. Libertad González, 2005. "Nonparametric bounds on the returns to language skills," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(6), pages 771-795.
    7. AfDB AfDB, . "The AfDB Statistics Pocketbook 2007," AfDB Statistics Pocketbook, African Development Bank, number 2 edited by Koua Louis Kouakou.
    8. Kreider, Brent & Pepper, John V., 2007. "Disability and Employment: Reevaluating the Evidence in Light of Reporting Errors," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 432-441, June.
    9. Becker, Gary S, 1974. "A Theory of Marriage: Part II," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 11-26, Part II, .
    10. Gundersen, Craig & Kreider, Brent & Pepper, John, 2012. "The impact of the National School Lunch Program on child health: A nonparametric bounds analysis," Journal of Econometrics, Elsevier, vol. 166(1), pages 79-91.
    11. Brent Kreider & John V. Pepper & Craig Gundersen & Dean Jolliffe, 2012. "Identifying the Effects of SNAP (Food Stamps) on Child Health Outcomes When Participation Is Endogenous and Misreported," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(499), pages 958-975, September.
    12. Gary S. Becker, 1974. "A Theory of Marriage," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 299-351, National Bureau of Economic Research, Inc.
    13. 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.
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    Cited by:

    1. Lukáš Lafférs, 2019. "Identification in Models with Discrete Variables," Computational Economics, Springer;Society for Computational Economics, vol. 53(2), pages 657-696, February.

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    More about this item

    Keywords

    Partial identification; Bounds; Average treatment effect;
    All these keywords.

    JEL classification:

    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • I2 - Health, Education, and Welfare - - Education

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