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Identification based on Difference-in-Differences Approaches with Multiple Treatments

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  • Fricke, Hans
Abstract
This paper discusses identification based on difference-in-differences (DiD) approaches with multiple treatments. It shows that an appropriate adaptation of the common trend assumption underlying the DiD strategy for the comparison of two treatments restricts the possibility of effect heterogeneity for at least one of the treatments. The required assumption of effect homogeneity is likely to be violated because of non-random assignment to treatment based on both observables and unobservables. However, this paper shows that, under certain conditions, the DiD estimate comparing two treatments identifies a lower bound in absolute values on the average treatment effect on the treated compared to the unobserved non-treatment state, even if effect homogeneity is violated. This is possible if, in expectation, the effects of both treatments compared to no treatment have the same sign, and one treatment has a stronger effect than the other treatment on the respective recipients. Such assumptions are plausible if treatments are ordered or vary in intensity.

Suggested Citation

  • Fricke, Hans, 2015. "Identification based on Difference-in-Differences Approaches with Multiple Treatments," Economics Working Paper Series 1510, University of St. Gallen, School of Economics and Political Science.
    • Handle: RePEc:usg:econwp:2015:10
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    References listed on IDEAS

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    1. Douglas Holtz-Eakin & David Joulfaian & Harvey S. Rosen, 1993. "The Carnegie Conjecture: Some Empirical Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 413-435.
    2. Michael Lechner, 2002. "Program Heterogeneity And Propensity Score Matching: An Application To The Evaluation Of Active Labor Market Policies," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 205-220, May.
    3. Lars J. Kirkeboen & Edwin Leuven & Magne Mogstad, 2016. "Editor's Choice Field of Study, Earnings, and Self-Selection," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1057-1111.
    4. Markus Frölich, 2004. "Programme Evaluation with Multiple Treatments," Journal of Economic Surveys, Wiley Blackwell, vol. 18(2), pages 181-224, April.
    5. Esther Duflo, 2001. "Schooling and Labor Market Consequences of School Construction in Indonesia: Evidence from an Unusual Policy Experiment," American Economic Review, American Economic Association, vol. 91(4), pages 795-813, September.
    6. Vivi Alatas & Lisa A. Cameron, 2008. "The Impact of Minimum Wages on Employment in a Low-Income Country: A Quasi-Natural Experiment in Indonesia," ILR Review, Cornell University, ILR School, vol. 61(2), pages 201-223, January.
    7. Hans Fricke, 2017. "Identification Based on Difference-in-Differences Approaches with Multiple Treatments," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(3), pages 426-433, June.
    8. Lechner, Michael, 2011. "The Estimation of Causal Effects by Difference-in-Difference Methods," Foundations and Trends(R) in Econometrics, now publishers, vol. 4(3), pages 165-224, November.
    9. Alberto Abadie, 2005. "Semiparametric Difference-in-Differences Estimators," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 1-19.
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    More about this item

    Keywords

    Policy evaluation; partial identification; heterogeneous treatment effects;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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