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Regression Discontinuity Design with Continuous Measurement Error in the Running Variable

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  • Le Barbanchon, Thomas
  • Davezies, Laurent

Abstract

Since the late 90s, Regression Discontinuity (RD) designs have been widely used to estimate Local Average Treatment Effects (LATE). When the running variable is observed with continuous measurement error, identification fails. Assuming nondifferential measurement error, we propose a consistent nonparametric estimator of the LATE when the discrepancy between the true running variable and its noisy measure is observed in an auxiliary sample of treated individuals, and when there are treated individuals at any value of the true running variable - two-sided fuzzy designs. We apply our method to estimate the effect of receiving unemployment benefits.

Suggested Citation

  • Le Barbanchon, Thomas & Davezies, Laurent, 2017. "Regression Discontinuity Design with Continuous Measurement Error in the Running Variable," CEPR Discussion Papers 11775, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:11775
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    Cited by:

    1. Davezies, Laurent & Le Barbanchon, Thomas, 2017. "Regression discontinuity design with continuous measurement error in the running variable," Journal of Econometrics, Elsevier, vol. 200(2), pages 260-281.
    2. Picchio, Matteo & Santolini, Raffaella, 2020. "Fiscal rules and budget forecast errors of Italian municipalities," European Journal of Political Economy, Elsevier, vol. 64(C).
    3. Federico Boffa & Vincenzo Mollisi & Giacomo A. M. Ponzetto, 2023. "Do incompetent politicians breed populist voters? Evidence from Italian municipalities," Economics Working Papers 1861, Department of Economics and Business, Universitat Pompeu Fabra.
    4. YANAGI, Takahide & 柳, 貴英, 2015. "Regression Discontinuity Designs with Nonclassical Measurement Error," Discussion Papers 2015-09, Graduate School of Economics, Hitotsubashi University.
    5. Chiara Criscuolo & Ralf Martin & Henry G. Overman & John Van Reenen, 2019. "Some Causal Effects of an Industrial Policy," American Economic Review, American Economic Association, vol. 109(1), pages 48-85, January.
    6. Otávio Bartalotti & Quentin Brummet & Steven Dieterle, 2021. "A Correction for Regression Discontinuity Designs With Group-Specific Mismeasurement of the Running Variable," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 39(3), pages 833-848, July.
    7. Zhuan Pei & Yi Shen, 2017. "The Devil is in the Tails: Regression Discontinuity Design with Measurement Error in the Assignment Variable," Advances in Econometrics, in: Regression Discontinuity Designs, volume 38, pages 455-502, Emerald Group Publishing Limited.
    8. Laura Khoury & Clément Brébion & Simon Briole, 2019. "Entitled to Leave: the Impact of Unemployment Insurance Eligibility on Employment Duration and Job Quality," Working Papers halshs-02393383, HAL.
    9. Bottasso, Anna & Bratti, Massimiliano & Cardullo, Gabriele & Conti, Maurizio & Sulis, Giovanni, 2023. "Labor Market Regulation and Firm Adjustments in Skill Demand," IZA Discussion Papers 16262, Institute of Labor Economics (IZA).
    10. Matias D. Cattaneo & Rocío Titiunik, 2022. "Regression Discontinuity Designs," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 821-851, August.
    11. Rodrigo Carril & Andres Gonzalez-Lira & Michael S. Walker, 2022. "Competition under incomplete contracts and the design of procurement policies," Economics Working Papers 1824, Department of Economics and Business, Universitat Pompeu Fabra.
    12. Hao Dong & Taisuke Otsu & Luke Taylor, 2023. "Bandwidth selection for nonparametric regression with errors-in-variables," Econometric Reviews, Taylor & Francis Journals, vol. 42(4), pages 393-419, April.
    13. Felipe Carozzi & Davide Cipullo & Luca Repetto, 2019. "Divided They Fall. Fragmented Parliaments and Government Stability," Working Papers wp2019_1911, CEMFI.
    14. Matias D. Cattaneo & Luke Keele & Rocio Titiunik, 2021. "Covariate Adjustment in Regression Discontinuity Designs," Papers 2110.08410, arXiv.org, revised Aug 2022.
    15. Andrew C. Eggers & Ronny Freier & Veronica Grembi & Tommaso Nannicini, 2018. "Regression Discontinuity Designs Based on Population Thresholds: Pitfalls and Solutions," American Journal of Political Science, John Wiley & Sons, vol. 62(1), pages 210-229, January.
    16. Myoung-Jae Lee & Hyae-Chong Shim & Sang Soo Park, 2023. "Regression Discontinuity with Integer Score and Non-Integer Cutoff," Korean Economic Review, Korean Economic Association, vol. 39, pages 73-101.
    17. Mauricio Villamizar‐Villegas & Freddy A. Pinzon‐Puerto & Maria Alejandra Ruiz‐Sanchez, 2022. "A comprehensive history of regression discontinuity designs: An empirical survey of the last 60 years," Journal of Economic Surveys, Wiley Blackwell, vol. 36(4), pages 1130-1178, September.
    18. Koster, Hans R.A. & van Ommeren, Jos & Volkhausen, Nicolas, 2021. "Short-term rentals and the housing market: Quasi-experimental evidence from Airbnb in Los Angeles," Journal of Urban Economics, Elsevier, vol. 124(C).
    19. Felipe Carozzi & Davide Cipullo & Luca Repetto, 2022. "Political Fragmentation and Government Stability: Evidence from Local Governments in Spain," American Economic Journal: Applied Economics, American Economic Association, vol. 14(2), pages 23-50, April.
    20. Le Barbanchon, Thomas, 2016. "The effect of the potential duration of unemployment benefits on unemployment exits to work and match quality in France," Labour Economics, Elsevier, vol. 42(C), pages 16-29.
    21. Dean Eckles & Nikolaos Ignatiadis & Stefan Wager & Han Wu, 2020. "Noise-Induced Randomization in Regression Discontinuity Designs," Papers 2004.09458, arXiv.org, revised Nov 2023.
    22. Yingying Dong & Michal Koles'ar, 2021. "When Can We Ignore Measurement Error in the Running Variable?," Papers 2111.07388, arXiv.org, revised Feb 2023.
    23. Strazzeri, Maurizio, 2021. "Assessing the Role of Asylum Policies in Refugees' Labor Market Integration: The Case of Protection Statuses in the German Asylum System," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242395, Verein für Socialpolitik / German Economic Association.
    24. Batut, Cyprien, 2021. "The longer term impact of hiring credits. Evidence from France," Labour Economics, Elsevier, vol. 72(C).
    25. Yingying Dong & Michal Kolesár, 2023. "When can we ignore measurement error in the running variable?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(5), pages 735-750, August.

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    More about this item

    Keywords

    Regression discontinuity design; Measurement error; Unemployment insurance;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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