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Quantile Treatment Effects in the Regression Discontinuity Design: Process Results and Gini Coefficient

Author

Listed:
  • Frölich, Markus

    (University of Mannheim)

  • Melly, Blaise

    (Brown University)

Abstract

This paper shows nonparametric identification of quantile treatment effects (QTE) in the regression discontinuity design. The distributional impacts of social programs such as welfare, education, training programs and unemployment insurance are of large interest to economists. QTE are an intuitive tool to characterize the effects of these interventions on the outcome distribution. We propose uniformly consistent estimators for both potential outcome distributions (treated and non-treated) for the population of interest as well as other function-valued effects of the policy including in particular the QTE process. The estimators are straightforward to implement and attain the optimal rate of convergence for one-dimensional nonparametric regression. We apply the proposed estimators to estimate the effects of summer school on the distribution of school grades, complementing the results of Jacob and Lefgren (2004).

Suggested Citation

  • Frölich, Markus & Melly, Blaise, 2010. "Quantile Treatment Effects in the Regression Discontinuity Design: Process Results and Gini Coefficient," IZA Discussion Papers 4993, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp4993
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    Citations

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    Cited by:

    1. Peter Howard-Jones & Jens Hölscher & Dragana Radicic, 2017. "Firm Productivity In The Western Balkans: The Impact Of European Union Membership And Access To Finance," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 62(215), pages 7-52, October –.
    2. Frandsen, Brigham R. & Frölich, Markus & Melly, Blaise, 2012. "Quantile treatment effects in the regression discontinuity design," Journal of Econometrics, Elsevier, vol. 168(2), pages 382-395.
    3. Biggeri, Mario & Burchi, Francesco & Ciani, Federico & Herrmann, Raoul, 2018. "Linking small-scale farmers to the durum wheat value chain in Ethiopia: Assessing the effects on production and wellbeing," Food Policy, Elsevier, vol. 79(C), pages 77-91.
    4. Caro, Juan Carlos, 2020. "Parental investments, socioemotional development and nutritional health in Chile," MPRA Paper 98867, University Library of Munich, Germany.
    5. Caro, Juan Carlos, 2020. "Child development and obesity prevention: evidence from the Chilean School Meals Program," MPRA Paper 98865, University Library of Munich, Germany.
    6. Biggeri, Mario & Carraro, Alessandro & Ciani, Federico & Romano, Donato, 2022. "Disentangling the impact of a multiple-component project on SDG dimensions: The case of durum wheat value chain development in Oromia (Ethiopia)," World Development, Elsevier, vol. 153(C).

    More about this item

    Keywords

    regression discontinuity; endogeneity; causal effect; quantile treatment effect;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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