IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1912.07346.html
   My bibliography  Save this paper

Analysis of Regression Discontinuity Designs with Multiple Cutoffs or Multiple Scores

Author

Listed:
  • Matias D. Cattaneo
  • Rocio Titiunik
  • Gonzalo Vazquez-Bare

Abstract

We introduce the \texttt{Stata} (and \texttt{R}) package \texttt{rdmulti}, which includes three commands (\texttt{rdmc}, \texttt{rdmcplot}, \texttt{rdms}) for analyzing Regression Discontinuity (RD) designs with multiple cutoffs or multiple scores. The command \texttt{rdmc} applies to non-cumulative and cumulative multi-cutoff RD settings. It calculates pooled and cutoff-specific RD treatment effects, and provides robust bias-corrected inference procedures. Post estimation and inference is allowed. The command \texttt{rdmcplot} offers RD plots for multi-cutoff settings. Finally, the command \texttt{rdms} concerns multi-score settings, covering in particular cumulative cutoffs and two running variables contexts. It also calculates pooled and cutoff-specific RD treatment effects, provides robust bias-corrected inference procedures, and allows for post-estimation estimation and inference. These commands employ the \texttt{Stata} (and \texttt{R}) package \texttt{rdrobust} for plotting, estimation, and inference. Companion \texttt{R} functions with the same syntax and capabilities are provided.

Suggested Citation

  • Matias D. Cattaneo & Rocio Titiunik & Gonzalo Vazquez-Bare, 2019. "Analysis of Regression Discontinuity Designs with Multiple Cutoffs or Multiple Scores," Papers 1912.07346, arXiv.org, revised Apr 2020.
    • Handle: RePEc:arx:papers:1912.07346
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1912.07346
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Sebastian Calonico & Matias D. Cattaneo & Max H. Farrell, 2018. "On the Effect of Bias Estimation on Coverage Accuracy in Nonparametric Inference," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 113(522), pages 767-779, April.
    2. Sebastian Calonico & Matias D. Cattaneo & Rocio Titiunik, 2014. "Robust data-driven inference in the regression-discontinuity design," Stata Journal, StataCorp LP, vol. 14(4), pages 909-946, December.
    3. Sebastian Calonico & Matias D. Cattaneo & Max H. Farrell & Roc ́ıo Titiunik, 2017. "rdrobust: Software for regression-discontinuity designs," Stata Journal, StataCorp LP, vol. 17(2), pages 372-404, June.
    4. Papay, John P. & Willett, John B. & Murnane, Richard J., 2011. "Extending the regression-discontinuity approach to multiple assignment variables," Journal of Econometrics, Elsevier, vol. 161(2), pages 203-207, April.
    5. Gonzalo Vazquez-Bare & Matias Cattaneo & Rocio Titiunik, 2016. "rdlocrand: a Stata Package for Inference in Regression Discontinuity Designs under Local Randomizati," 2016 Stata Conference 25, Stata Users Group.
    6. Matias D. Cattaneo & Michael Jansson & Xinwei Ma, 2018. "Manipulation testing based on density discontinuity," Stata Journal, StataCorp LP, vol. 18(1), pages 234-261, March.
    7. Matias D. Cattaneo & Roc ́ıo Titiunik & Gonzalo Vazquez-Bare, 2016. "Inference in regression discontinuity designs under local randomization," Stata Journal, StataCorp LP, vol. 16(2), pages 331-367, June.
    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. Atı̇la Abdulkadı̇roğlu & Joshua D. Angrist & Yusuke Narita & Parag Pathak, 2022. "Breaking Ties: Regression Discontinuity Design Meets Market Design," Econometrica, Econometric Society, vol. 90(1), pages 117-151, January.
    2. Heraud, Florian & Page, Lionel, 2024. "Does the left-digit bias affect prices in financial markets?," Journal of Economic Behavior & Organization, Elsevier, vol. 218(C), pages 20-29.
    3. Anderson, Drew M., 2020. "When financial aid is scarce: The challenge of allocating college aid where it is needed most," Journal of Public Economics, Elsevier, vol. 190(C).
    4. Kabir Dasgupta & Alexander Plum & Christopher Erwin, 2022. "The Devil is in the Details: Identifying Unbiased Link between Alcohol Purchasing Rights and Youth Delinquency," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(6), pages 1380-1431, December.
    5. Machado, Anaely & Terra, Rafael & Tannuri-Pianto, Maria, 2024. "Higher education responses to accountability," Economics of Education Review, Elsevier, vol. 98(C).
    6. Vanessa Cirulli & Giuliano Resce & Marco Ventura, 2024. "Co-payment exemption and healthcare consumption: quasi-experimental evidence from Italy," Empirical Economics, Springer, vol. 67(1), pages 355-380, July.
    7. Jain, Chandan & Kashyap, Shagun & Lahoti, Rahul & Sahoo, Soham, 2023. "The impact of educated leaders on economic development: Evidence from India," Journal of Comparative Economics, Elsevier, vol. 51(3), pages 1068-1093.
    8. Bovay, John, 2021. "Moral hazard under discrete information disclosure: Evidence from food-safety inspections," 2021 Allied Social Sciences Association (ASSA) Annual Meeting (Virtual), January 3-5, 2021, San Diego, California 307948, Agricultural and Applied Economics Association.
    9. Nicolai T. Borgen & Lars J. Kirkebøen & Andreas Kotsadam & Oddbjørn Raaum, 2022. "Do funds for more teachers improve student outcomes?," Discussion Papers 982, Statistics Norway, Research Department.
    10. Cerqua, Augusto & Pellegrini, Guido, 2022. "Decomposing the employment effects of investment subsidies," Journal of Urban Economics, Elsevier, vol. 128(C).
    11. Penney, Jeffrey & Lehrer, Steven F. & Bernal, Gloria L. & Reyes, Luis Carlos, 2023. "Do opportunities for low-income students at top colleges promote academic success? Evidence from Colombia's Ser Pilo Paga program," CLEF Working Paper Series 64, Canadian Labour Economics Forum (CLEF), University of Waterloo.
    12. Christian Ochsner, 2023. "Hostility, Population Sorting, and Backwardness: Quasi-Experimental Evidence from the Red Army after WWII," CERGE-EI Working Papers wp768, The Center for Economic Research and Graduate Education - Economics Institute, Prague.

    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. Vanessa Cirulli & Giuliano Resce & Marco Ventura, 2024. "Co-payment exemption and healthcare consumption: quasi-experimental evidence from Italy," Empirical Economics, Springer, vol. 67(1), pages 355-380, July.
    2. Atı̇la Abdulkadı̇roğlu & Joshua D. Angrist & Yusuke Narita & Parag Pathak, 2022. "Breaking Ties: Regression Discontinuity Design Meets Market Design," Econometrica, Econometric Society, vol. 90(1), pages 117-151, January.
    3. Mellace, Giovanni & Ventura, Marco, 2019. "Intended and unintended effects of public incentives for innovation. Quasi-experimental evidence from Italy," Discussion Papers on Economics 9/2019, University of Southern Denmark, Department of Economics.
    4. Nicholas A. Bowman & Nayoung Jang, 2022. "What is the Purpose of Academic Probation? Its Substantial Negative Effects on Four-Year Graduation," Research in Higher Education, Springer;Association for Institutional Research, vol. 63(8), pages 1285-1311, December.
    5. Kämpfen, F.; & Gómez-Olivé, X.; & O’Donnell, O.; & Riumallo Herl, C.;, 2023. "Effectiveness of Population-Based Hypertension Screening: A Multidimensional Regression Discontinuity Design," Health, Econometrics and Data Group (HEDG) Working Papers 23/15, HEDG, c/o Department of Economics, University of York.
    6. Freitas Monteiro, Teresa & Prömel, Christopher, 2024. "Local far-right demonstrations and nationwide public attitudes toward migration," Discussion Papers 2024/3, Free University Berlin, School of Business & Economics.
    7. Masayuki Sawada & Takuya Ishihara & Daisuke Kurisu & Yasumasa Matsuda, 2024. "Local-Polynomial Estimation for Multivariate Regression Discontinuity Designs," Papers 2402.08941, arXiv.org.
    8. Mellace, Giovanni & Ventura, Marco, 2023. "The short-run effects of public incentives for innovation in Italy," Economic Modelling, Elsevier, vol. 120(C).
    9. Ongena, Steven & Delis, Manthos & Fringuellotti, Fulvia, 2019. "Credit and Income," CEPR Discussion Papers 13468, C.E.P.R. Discussion Papers.
    10. de Gendre, Alexandra & Lynch, John & Meunier, Aurélie & Pilkington, Rhiannon & Schurer, Stefanie, 2021. "Child Health and Parental Responses to an Unconditional Cash Transfer at Birth," IZA Discussion Papers 14693, Institute of Labor Economics (IZA).
    11. Manthos D. Delis & Fulvia Fringuellotti & Steven Ongena, 2020. "Credit and Entrepreneurs’ Income," Staff Reports 929, Federal Reserve Bank of New York.
    12. Meier, Pascal Flurin & Flepp, Raphael & Meier, Philippe & Franck, Egon, 2022. "Outcome bias in self-evaluations: Quasi-experimental field evidence from Swiss driving license exams," Journal of Economic Behavior & Organization, Elsevier, vol. 201(C), pages 292-309.
    13. Eibich, Peter & Siedler, Thomas, 2020. "Retirement, intergenerational time transfers, and fertility," European Economic Review, Elsevier, vol. 124(C).
    14. Chu, Yu-Wei Luke & Cuffe, Harold E, 2020. "Do Struggling Students Benefit From Continued Student Loan Access? Evidence From University and Beyond," Working Paper Series 21067, Victoria University of Wellington, School of Economics and Finance.
    15. Buhui Qiu & Gary Gang Tian & Haijian Zeng, 2022. "How Does Deleveraging Affect Funding Market Liquidity?," Management Science, INFORMS, vol. 68(6), pages 4568-4601, June.
    16. MD Abdul Bari & Ghulam Dastgir Khan & Bing He & Yuichiro Yoshida, 2022. "The impact of unconditional cash and food assistance on contraceptive expenditure of rural households in Coastal Bangladesh: Evidence from fuzzy RDD," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-12, January.
    17. Fang, Hongsheng & Su, Yunqing & Lu, Weijun, 2022. "Tax incentive and corporate financial performance: Evidence from income tax revenue sharing reform in China," Journal of Asian Economics, Elsevier, vol. 81(C).
    18. Albert Whata & Charles Chimedza, 2021. "Credibility of Causal Estimates from Regression Discontinuity Designs with Multiple Assignment Variables," Stats, MDPI, vol. 4(4), pages 1-23, November.
    19. Myerson, Rebecca & Lu, Tianyi & Yuan, Yong & Liu, Gordon, 2020. "The impact of government income transfers on tobacco and alcohol use: Evidence from China," Economics Letters, Elsevier, vol. 186(C).
    20. Davide Luca & Felix Modrego, 2021. "Stronger together? Assessing the causal effect of inter‐municipal cooperation on the efficiency of small Italian municipalities," Journal of Regional Science, Wiley Blackwell, vol. 61(1), pages 261-293, January.

    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:arx:papers:1912.07346. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.