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Optimal Model Selection in RDD and Related Settings Using Placebo Zones

Author

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  • Kettlewell, Nathan

    (University of Technology, Sydney)

  • Siminski, Peter

    (University of Technology, Sydney)

Abstract

We propose a new model-selection algorithm for Regression Discontinuity Design, Regression Kink Design, and related IV estimators. Candidate models are assessed within a 'placebo zone' of the running variable, where the true effects are known to be zero. The approach yields an optimal combination of bandwidth, polynomial, and any other choice parameters. It can also inform choices between classes of models (e.g. RDD versus cohort-IV) and any other choices, such as covariates, kernel, or other weights. We use the approach to evaluate changes in Minimum Supervised Driving Hours in the Australian state of New South Wales. We also re-evaluate evidence on the effects of Head Start and Minimum Legal Drinking Age. We conclude with practical advice for researchers, including implications of treatment effect heterogeneity.

Suggested Citation

  • Kettlewell, Nathan & Siminski, Peter, 2020. "Optimal Model Selection in RDD and Related Settings Using Placebo Zones," IZA Discussion Papers 13639, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp13639
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    1. David Card & David S. Lee & Zhuan Pei & Andrea Weber, 2015. "Inference on Causal Effects in a Generalized Regression Kink Design," Econometrica, Econometric Society, vol. 83, pages 2453-2483, November.
    2. Zhuan Pei & David S. Lee & David Card & Andrea Weber, 2022. "Local Polynomial Order in Regression Discontinuity Designs," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(3), pages 1259-1267, June.
    3. Sebastian Calonico & Matias D. Cattaneo & Max H. Farrell & Rocío Titiunik, 2019. "Regression Discontinuity Designs Using Covariates," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 442-451, July.
    4. Imbens, Guido & van der Klaauw, Wilbert, 1995. "Evaluating the Cost of Conscription in The Netherlands," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(2), pages 207-215, April.
    5. Cornelissen, Thomas & Dustmann, Christian & Raute, Anna & Schönberg, Uta, 2016. "From LATE to MTE: Alternative methods for the evaluation of policy interventions," Labour Economics, Elsevier, vol. 41(C), pages 47-60.
    6. 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.
    7. Matias D. Cattaneo & Michael Jansson & Xinwei Ma, 2020. "Simple Local Polynomial Density Estimators," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 115(531), pages 1449-1455, July.
    8. David Card & David S. Lee & Zhuan Pei & Andrea Weber, 2017. "Regression Kink Design: Theory and Practice," Advances in Econometrics, in: Regression Discontinuity Designs, volume 38, pages 341-382, Emerald Group Publishing Limited.
    9. Sebastian Calonico & Matias D. Cattaneo & Rocio Titiunik, 2014. "Robust Nonparametric Confidence Intervals for Regression‐Discontinuity Designs," Econometrica, Econometric Society, vol. 82, pages 2295-2326, November.
    10. Cousley, Alex & Siminski, Peter & Ville, Simon, 2017. "The Effects of World War II Military Service: Evidence from Australia," The Journal of Economic History, Cambridge University Press, vol. 77(3), pages 838-865, September.
    11. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    12. 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, President and Fellows of Harvard College, vol. 122(1), pages 159-208.
    13. Dee, Thomas S. & Grabowski, David C. & Morrisey, Michael A., 2005. "Graduated driver licensing and teen traffic fatalities," Journal of Health Economics, Elsevier, vol. 24(3), pages 571-589, May.
    14. Sebastian Calonico & Matias D. Cattaneo & Rocío Titiunik, 2015. "Optimal Data-Driven Regression Discontinuity Plots," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(512), pages 1753-1769, December.
    15. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    16. Hall, Peter G. & Racine, Jeffrey S., 2015. "Infinite order cross-validated local polynomial regression," Journal of Econometrics, Elsevier, vol. 185(2), pages 510-525.
    17. Doug Miller & Jens Ludwig, 2005. "Does Head Start Improve Children?s Life Chances? Evidence from a Regression Discontinuity Design," Working Papers 54, University of California, Davis, Department of Economics.
    18. Christopher Carpenter & Carlos Dobkin, 2009. "The Effect of Alcohol Consumption on Mortality: Regression Discontinuity Evidence from the Minimum Drinking Age," American Economic Journal: Applied Economics, American Economic Association, vol. 1(1), pages 164-182, January.
    19. Karaca-Mandic, Pinar & Ridgeway, Greg, 2010. "Behavioral impact of graduated driver licensing on teenage driving risk and exposure," Journal of Health Economics, Elsevier, vol. 29(1), pages 48-61, January.
    20. Matias D. Cattaneo & Nicolas Idrobo & Rocio Titiunik, 2019. "A Practical Introduction to Regression Discontinuity Designs: Foundations," Papers 1911.09511, arXiv.org.
    21. Imbens, Guido W. & Lemieux, Thomas, 2008. "Regression discontinuity designs: A guide to practice," Journal of Econometrics, Elsevier, vol. 142(2), pages 615-635, February.
    22. Joshua D. Angrist & Jörn-Steffen Pischke, 2015. "The path from cause to effect: mastering 'metrics," CentrePiece - The magazine for economic performance 442, Centre for Economic Performance, LSE.
    23. Andrew Gelman & Guido Imbens, 2019. "Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(3), pages 447-456, July.
    24. Jason M. Lindo & Peter Siminski & Oleg Yerokhin, 2016. "Breaking The Link Between Legal Access To Alcohol And Motor Vehicle Accidents: Evidence From New South Wales," Health Economics, John Wiley & Sons, Ltd., vol. 25(7), pages 908-928, July.
    25. John Bound & Sarah Turner, 2002. "Going to War and Going to College: Did World War II and the G.I. Bill Increase Educational Attainment for Returning Veterans?," Journal of Labor Economics, University of Chicago Press, vol. 20(4), pages 784-815, October.
    26. Ari Hyytinen & Jaakko Meriläinen & Tuukka Saarimaa & Otto Toivanen & Janne Tukiainen, 2018. "When does regression discontinuity design work? Evidence from random election outcomes," Quantitative Economics, Econometric Society, vol. 9(2), pages 1019-1051, July.
    27. McCrary, Justin, 2008. "Manipulation of the running variable in the regression discontinuity design: A density test," Journal of Econometrics, Elsevier, vol. 142(2), pages 698-714, February.
    28. Duncan D. Chaplin & Thomas D. Cook & Jelena Zurovac & Jared S. Coopersmith & Mariel M. Finucane & Lauren N. Vollmer & Rebecca E. Morris, 2018. "The Internal And External Validity Of The Regression Discontinuity Design: A Meta‐Analysis Of 15 Within‐Study Comparisons," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 37(2), pages 403-429, March.
    29. Peter Ganong & Simon Jäger, 2018. "A Permutation Test for the Regression Kink Design," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 113(522), pages 494-504, April.
    30. 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.
    31. Burt S. Barnow & Matias D. Cattaneo & Rocío Titiunik & Gonzalo Vazquez‐Bare, 2017. "Comparing Inference Approaches for RD Designs: A Reexamination of the Effect of Head Start on Child Mortality," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 36(3), pages 643-681, June.
    32. Hahn, Jinyong & Todd, Petra & Van der Klaauw, Wilbert, 2001. "Identification and Estimation of Treatment Effects with a Regression-Discontinuity Design," Econometrica, Econometric Society, vol. 69(1), pages 201-209, January.
    33. Rebecca A. Maynard & Kenneth A. Couch & Coady Wing & Thomas D. Cook, 2013. "Strengthening The Regression Discontinuity Design Using Additional Design Elements: A Within‐Study Comparison," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 32(4), pages 853-877, September.
    34. Joshua D. Angrist & Victor Lavy, 1999. "Using Maimonides' Rule to Estimate the Effect of Class Size on Scholastic Achievement," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 533-575.
    35. Gilpin, Gregory, 2019. "Teen driver licensure provisions, licensing, and vehicular fatalities," Journal of Health Economics, Elsevier, vol. 66(C), pages 54-70.
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    Cited by:

    1. Kettlewell, Nathan & Zhang, Yuting, 2023. "Financial Incentives and Private Health Insurance Demand on the Extensive and Intensive Margins," IZA Discussion Papers 16248, Institute of Labor Economics (IZA).
    2. Kettlewell, Nathan & Zhang, Yuting, 2023. "Financial Incentives and Private Health Insurance Demand on the Extensive and Intensive Margins," IZA Discussion Papers 16248, Institute of Labor Economics (IZA).
    3. Nathan Kettlewell & Yuting Zhang, 2024. "Age penalties and take‐up of private health insurance," Health Economics, John Wiley & Sons, Ltd., vol. 33(4), pages 636-651, April.

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    More about this item

    Keywords

    regression discontinuity; regression kink; graduated driver licensing;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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