IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2014cf927.html
   My bibliography  Save this paper

Simultaneous Selection of Optimal Bandwidths for the Sharp Regression Discontinuity Estimator

Author

Listed:
  • Yoichi Arai

    (National Graduate Institute for Policy Studies (GRIPS))

  • Hidehiko Ichimura

    (Faculty of Economics, The University of Tokyo)

Abstract

   We consider the problem of the bandwidth selection for the sharp regression discontinuity (RD) estimator. The sharp RD estimator requires to estimate two conditional mean functions on the left and the right of the cut-off point nonparametrically. We propose to choose two bandwidths, one for each side for the cut-off point, simultaneously in contrast to common single-bandwidth approaches. We show that allowing distinct bandwidths leads to a nonstandard minimization problem of the asymptotic mean square error. To address this problem, we theoretically de ne and construct estimators of the asymptotically first-order optimal bandwidths that exploit the second-order bias term. The proposed bandwidths contribute to reduce the mean squared error mainly due to their superior bias performance. A simulation study based on designs motivated by existing empirical literatures exhibits a signi cant gain of the proposed method under the situations where single-bandwidth approaches can become quite misleading.

Suggested Citation

  • Yoichi Arai & Hidehiko Ichimura, 2014. "Simultaneous Selection of Optimal Bandwidths for the Sharp Regression Discontinuity Estimator," CIRJE F-Series CIRJE-F-927, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2014cf927
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2014/2014cf927.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. David E. Card & David S. Lee & Zhuan Pei & Andrea Weber, 2012. "Nonlinear Policy Rules and the Identification and Estimation of Causal Effects in a Generalized Regression Kink Design," NRN working papers 2012-14, The Austrian Center for Labor Economics and the Analysis of the Welfare State, Johannes Kepler University Linz, Austria.
    2. David S. Lee & Thomas Lemieux, 2010. "Regression Discontinuity Designs in Economics," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 281-355, June.
    3. Wilbert van der Klaauw, 2008. "Regression-Discontinuity Analysis: A Survey of Recent Developments in Economics," LABOUR, CEIS, vol. 22(2), pages 219-245, June.
    4. Donna Feir & Thomas Lemieux & Vadim Marmer, 2016. "Weak Identification in Fuzzy Regression Discontinuity Designs," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 34(2), pages 185-196, April.
    5. Jens Ludwig & Douglas L. Miller, 2007. "Does Head Start Improve Children's Life Chances? Evidence from a Regression Discontinuity Design," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 159-208.
    6. Yoichi Arai & Hidehiko Ichimura, 2013. "Optimal Bandwidth Selection for Differences of Nonparametric Estimators with an Application to the Sharp Regression Discontinuity Design," CIRJE F-Series CIRJE-F-889, CIRJE, Faculty of Economics, University of Tokyo.
    7. Björn Tyrefors Hinnerich & Per Pettersson‐Lidbom, 2014. "Democracy, Redistribution, and Political Participation: Evidence From Sweden 1919–1938," Econometrica, Econometric Society, vol. 82(3), pages 961-993, May.
    8. Guido Imbens & Karthik Kalyanaraman, 2012. "Optimal Bandwidth Choice for the Regression Discontinuity Estimator," Review of Economic Studies, Oxford University Press, vol. 79(3), pages 933-959.
    9. Lee, David S., 2008. "Randomized experiments from non-random selection in U.S. House elections," Journal of Econometrics, Elsevier, vol. 142(2), pages 675-697, February.
    10. Imbens, Guido W. & Lemieux, Thomas, 2008. "Regression discontinuity designs: A guide to practice," Journal of Econometrics, Elsevier, vol. 142(2), pages 615-635, February.
    11. Doug Miller & Jens Ludwig, 2005. "Does Head Start Improve Children?s Life Chances? Evidence from a Regression Discontinuity Design," Working Papers 534, University of California, Davis, Department of Economics.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jales, Hugo & Ma, Jun & Yu, Zhengfei, 2017. "Optimal bandwidth selection for local linear estimation of discontinuity in density," Economics Letters, Elsevier, vol. 153(C), pages 23-27.
    2. Arai, Yoichi & Ichimura, Hidehiko, 2016. "Optimal bandwidth selection for the fuzzy regression discontinuity estimator," Economics Letters, Elsevier, vol. 141(C), pages 103-106.
    3. repec:eee:econom:v:201:y:2017:i:1:p:1-18 is not listed on IDEAS
    4. YANAGI, Takahide, 2015. "Regression Discontinuity Designs with Nonclassical Measurement Error," Discussion Papers 2015-09, Graduate School of Economics, Hitotsubashi University.
    5. Takahide Yanagi, 2014. "The Effect of Measurement Error in the Sharp Regression Discontinuity Design," KIER Working Papers 910, Kyoto University, Institute of Economic Research.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tky:fseres:2014cf927. 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: (CIRJE administrative office). General contact details of provider: http://edirc.repec.org/data/ritokjp.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.