IDEAS home Printed from https://ideas.repec.org/p/osf/metaar/2dgrp_v1.html
   My bibliography  Save this paper

Manipulation Tests in Regression Discontinuity Design: The Need for Equivalence Testing

Author

Listed:
  • Fitzgerald, Jack

    (Vrije Universiteit Amsterdam)

Abstract

Researchers applying regression discontinuity design (RDD) often test for endogenous running variable (RV) manipulation around treatment cutoffs, but misinterpret statistically insignificant RV manipulation as evidence of negligible RV manipulation. I introduce novel procedures that can provide statistically significant evidence that RV manipulation around a cutoff is bounded beneath practically negligible levels. The procedures augment classic RV density tests with an equivalence testing framework, along with bootstrap methods for (cluster-)robust inference. I apply these procedures to replication data from 36 RDD publications, conducting 45 equivalence-based RV manipulation tests. Over 44% of RV density discontinuities at the cutoff cannot be significantly bounded beneath a 50% upward jump. Obtaining equivalence testing failure rates beneath 5% requires arguing that a 350% upward RV density jump at the cutoff is practically equal to zero. My results imply that meaningful RV manipulation around treatment cutoffs cannot be ruled out in many published RDD papers, and that standard tests frequently misclassify the practical significance of RV manipulation. I provide research guidelines and help researchers conduct more credible equivalence-based manipulation testing in future RDD research. The lddtest estimation routine is available in R, Stata, and Python.

Suggested Citation

  • Fitzgerald, Jack, 2025. "Manipulation Tests in Regression Discontinuity Design: The Need for Equivalence Testing," MetaArXiv 2dgrp_v1, Center for Open Science.
    • Handle: RePEc:osf:metaar:2dgrp_v1
    DOI: 10.31219/osf.io/2dgrp_v1
    as

    Download full text from publisher

    File URL: https://osf.io/download/67a368d5b0f5b6e473af4482/
    Download Restriction: no
    File URL: https://libkey.io/10.31219/osf.io/2dgrp_v1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Joshua D. Angrist & Jörn-Steffen Pischke, 2010. "The Credibility Revolution in Empirical Economics: How Better Research Design Is Taking the Con out of Econometrics," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 3-30, Spring.
    2. Bugni, Federico A. & Canay, Ivan A., 2021. "Testing continuity of a density via g-order statistics in the regression discontinuity design," Journal of Econometrics, Elsevier, vol. 221(1), pages 138-159.
    3. François Gerard & Miikka Rokkanen & Christoph Rothe, 2020. "Bounds on treatment effects in regression discontinuity designs with a manipulated running variable," Quantitative Economics, Econometric Society, vol. 11(3), pages 839-870, July.
    4. Andrew C. Eggers & Anthony Fowler & Jens Hainmueller & Andrew B. Hall & James M. Snyder, 2015. "On the Validity of the Regression Discontinuity Design for Estimating Electoral Effects: New Evidence from Over 40,000 Close Races," American Journal of Political Science, John Wiley & Sons, vol. 59(1), pages 259-274, January.
    5. Erin Hartman & F. Daniel Hidalgo, 2018. "An Equivalence Approach to Balance and Placebo Tests," American Journal of Political Science, John Wiley & Sons, vol. 62(4), pages 1000-1013, October.
    6. Jun Ma & Hugo Jales & Zhengfei Yu, 2020. "Minimum Contrast Empirical Likelihood Inference of Discontinuity in Density," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 38(4), pages 934-950, October.
    7. Stommes, Drew & Aronow, P. M. & Sävje, Fredrik, 2023. "On the Reliability of Published Findings Using the Regression Discontinuity Design in Political Science," I4R Discussion Paper Series 22, The Institute for Replication (I4R).
    8. Gaku Igarashi, 2023. "A nonparametric discontinuity test of density using a beta kernel," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 35(2), pages 323-354, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Matias D. Cattaneo & Rocío Titiunik, 2022. "Regression Discontinuity Designs," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 821-851, August.
    2. Brown, Craig O., 2020. "Economic leadership and growth," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 298-333.
    3. Yuta Okamoto & Yuuki Ozaki, 2024. "On Extrapolation of Treatment Effects in Multiple-Cutoff Regression Discontinuity Designs," Papers 2412.04265, arXiv.org, revised May 2025.
    4. Takuya Ishihara & Masayuki Sawada, 2020. "Manipulation-Robust Regression Discontinuity Designs," Papers 2009.07551, arXiv.org, revised Sep 2024.
    5. Hsu, Yu-Chin & Shiu, Ji-Liang & Wan, Yuanyuan, 2024. "Testing identification conditions of LATE in fuzzy regression discontinuity designs," Journal of Econometrics, Elsevier, vol. 241(1).
    6. Jin‐young Choi & Myoung‐jae Lee, 2023. "Score manipulation, density continuity and intent‐to‐treat effect for regression discontinuity," Pacific Economic Review, Wiley Blackwell, vol. 28(4), pages 552-569, October.
    7. Yoichi Arai & Yu‐Chin Hsu & Toru Kitagawa & Ismael Mourifié & Yuanyuan Wan, 2022. "Testing identifying assumptions in fuzzy regression discontinuity designs," Quantitative Economics, Econometric Society, vol. 13(1), pages 1-28, January.
    8. Joshua D. Angrist, 2022. "Empirical Strategies in Economics: Illuminating the Path From Cause to Effect," Econometrica, Econometric Society, vol. 90(6), pages 2509-2539, November.
    9. Andersson, Josefine, 2018. "Financial incentives to work for disability insurance recipients - Sweden’s special rules for continuous deduction," Working Paper Series 2018:7, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    10. Yingying DONG & Ying-Ying LEE & Michael GOU, 2019. "Regression Discontinuity Designs with a Continuous Treatment," Discussion papers 19058, Research Institute of Economy, Trade and Industry (RIETI).
    11. Behrens, Christiaan & de Jong, Gerben & van Ommeren, Jos, 2024. "From silver to platinum: The impact of frequent flier tier levels on air travellers’ behaviour," Transportation Research Part B: Methodological, Elsevier, vol. 186(C).
    12. Jun Ma & Zhengfei Yu, 2020. "Empirical Likelihood Covariate Adjustment for Regression Discontinuity Designs," Papers 2008.09263, arXiv.org, revised May 2024.
    13. Czajkowski, Mikołaj & Zagórska, Katarzyna & Letki, Natalia & Tryjanowski, Piotr & Wąs, Adam, 2021. "Drivers of farmers’ willingness to adopt extensive farming practices in a globally important bird area," Land Use Policy, Elsevier, vol. 107(C).
    14. KAMKOUM, Arnaud Cedric, 2023. "The Federal Reserve’s Response to the Global Financial Crisis and its Effects: An Interrupted Time-Series Analysis of the Impact of its Quantitative Easing Programs," Thesis Commons d7pvg, Center for Open Science.
    15. Arne Henningsen & Guy Low & David Wuepper & Tobias Dalhaus & Hugo Storm & Dagim Belay & Stefan Hirsch, 2024. "Estimating Causal Effects with Observational Data: Guidelines for Agricultural and Applied Economists," IFRO Working Paper 2024/03, University of Copenhagen, Department of Food and Resource Economics.
    16. Quinckhardt, Matthias, 2023. "The value of a party: Local politics and the allocation of intergovernmental transfers," European Journal of Political Economy, Elsevier, vol. 80(C).
    17. Burt S. Barnow & Jeffrey Smith, 2015. "Employment and Training Programs," NBER Chapters, in: Economics of Means-Tested Transfer Programs in the United States, Volume 2, pages 127-234, National Bureau of Economic Research, Inc.
    18. Christopher Conlon & Julie Holland Mortimer, 2021. "Empirical properties of diversion ratios," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 693-726, December.
    19. Christopher J. Ruhm, 2019. "Shackling the Identification Police?," Southern Economic Journal, John Wiley & Sons, vol. 85(4), pages 1016-1026, April.
    20. Christos Genakos & Andreas Lamprinidis & James Walker, 2023. "Evaluating merger effects," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(6), pages 3325-3345, September.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software
    • P00 - Political Economy and Comparative Economic Systems - - General - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:osf:metaar:2dgrp_v1. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: OSF (email available below). General contact details of provider: https://osf.io/preprints/metaarxiv .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.