IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp4679.html
   My bibliography  Save this paper

Class Size and the Regression Discontinuity Design: The Case of Public Schools

Author

Listed:
  • Cohen-Zada, Danny

    (Ben Gurion University)

  • Gradstein, Mark

    (Ben Gurion University)

  • Reuven, Ehud

    (Ben Gurion University)

Abstract

Using a rich individual-level dataset on secondary public schools in Israel, we find strong evidence for discontinuities in the relationship between enrollment and household characteristics at cutoff points induced by a maximum class size rule. Our findings extend existing work that documents such discontinuities only among private schools (Urquiola and Verhoogen, 2009). These discontinuities violate the assumptions underlying the regression discontinuity design, which are crucial for identification. Consequently, IV estimates of class size effects are likely to be seriously biased. Potential manipulation of the treatment assignment rule by public schools warrants caution in applying a regression discontinuity design to estimate class size effects and indicates that institutional context is crucial for its scope of applicability.

Suggested Citation

  • Cohen-Zada, Danny & Gradstein, Mark & Reuven, Ehud, 2009. "Class Size and the Regression Discontinuity Design: The Case of Public Schools," IZA Discussion Papers 4679, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp4679
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp4679.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alan B. Krueger, 1999. "Experimental Estimates of Education Production Functions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 497-532.
    2. Wo[ss]mann, Ludger & West, Martin, 2006. "Class-size effects in school systems around the world: Evidence from between-grade variation in TIMSS," European Economic Review, Elsevier, vol. 50(3), pages 695-736, April.
    3. David S. Lee & Thomas Lemieux, 2009. "Regression Discontinuity Designs In Economics," Working Papers 1118, Princeton University, Department of Economics, Industrial Relations Section..
    4. Miguel Urquiola & Eric Verhoogen, 2009. "Class-Size Caps, Sorting, and the Regression-Discontinuity Design," American Economic Review, American Economic Association, vol. 99(1), pages 179-215, March.
    5. 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.
    6. Caroline M. Hoxby, 2000. "The Effects of Class Size on Student Achievement: New Evidence from Population Variation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(4), pages 1239-1285.
    7. Andrews,Donald W. K. & Stock,James H. (ed.), 2005. "Identification and Inference for Econometric Models," Cambridge Books, Cambridge University Press, number 9780521844413.
    8. West, Martin R. & Woessmann, Ludger, 2006. "Which school systems sort weaker students into smaller classes? International evidence," European Journal of Political Economy, Elsevier, vol. 22(4), pages 944-968, December.
    9. Joseph G. Altonji & Todd E. Elder & Christopher R. Taber, 2002. "An Evaluation of Instrumental Variable Strategies for Estimating the Effects of Catholic Schools," NBER Working Papers 9358, National Bureau of Economic Research, Inc.
    10. Miguel Urquiola, 2006. "Identifying Class Size Effects in Developing Countries: Evidence from Rural Bolivia," The Review of Economics and Statistics, MIT Press, vol. 88(1), pages 171-177, February.
    11. James H. Stock & Motohiro Yogo, 2002. "Testing for Weak Instruments in Linear IV Regression," NBER Technical Working Papers 0284, National Bureau of Economic Research, Inc.
    12. Edward P. Lazear, 2001. "Educational Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 777-803.
    13. Urquiola, Miguel, 2001. "Identifying class size effects in developing countries : evidence from rural schools in Bolivia," Policy Research Working Paper Series 2711, The World Bank.
    14. 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.
    15. Hanushek, Eric A, 1986. "The Economics of Schooling: Production and Efficiency in Public Schools," Journal of Economic Literature, American Economic Association, vol. 24(3), pages 1141-1177, September.
    16. Alan B. Krueger, 2003. "Economic Considerations and Class Size," Economic Journal, Royal Economic Society, vol. 113(485), pages 34-63, February.
    17. 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.
    18. Sander, William, 1993. "Expenditures and student achievement in Illinois : New evidence," Journal of Public Economics, Elsevier, vol. 52(3), pages 403-416, October.
    19. Lee, David S. & Card, David, 2008. "Regression discontinuity inference with specification error," Journal of Econometrics, Elsevier, vol. 142(2), pages 655-674, February.
    20. 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.
    21. Ludger Wößmann, 2005. "Educational production in Europe [‘Does class size matter?’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 20(43), pages 446-504.
    22. 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.
    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. Cohen-Zada, Danny & Gradstein, Mark & Reuven, Ehud, 2013. "Allocation of students in public schools: Theory and new evidence," Economics of Education Review, Elsevier, vol. 34(C), pages 96-106.
    2. Sameh Hallaq, 2020. "Class Size, Cognitive Abilities, Bullying, and Violent Behavior: Evidence from West Bank Schools," Economics Working Paper Archive wp_955, Levy Economics Institute.
    3. Sameh Hallaq, 2024. "Class size reduction, bullying, and violent behavior: Evidence from West Bank schools," Bulletin of Economic Research, Wiley Blackwell, vol. 76(2), pages 545-595, April.

    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. Cohen-Zada, Danny & Gradstein, Mark & Reuven, Ehud, 2013. "Allocation of students in public schools: Theory and new evidence," Economics of Education Review, Elsevier, vol. 34(C), pages 96-106.
    2. Peter Fredriksson & Björn Öckert & Hessel Oosterbeek, 2013. "Long-Term Effects of Class Size," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(1), pages 249-285.
    3. 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.
    4. Fredriksson, Peter & Öckert, Björn & Oosterbeek, Hessel, 2014. "Inside the Black Box of Class Size: Mechanisms, Behavioral Responses, and Social Background," IZA Discussion Papers 8019, Institute of Labor Economics (IZA).
    5. Miguel Urquiola, 2015. "Progress and challenges in achieving an evidence-based education policy in Latin America and the Caribbean," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 24(1), pages 1-30, December.
    6. Argaw, Bethlehem A. & Puhani, Patrick A., 2018. "Does class size matter for school tracking outcomes after elementary school? Quasi-experimental evidence using administrative panel data from Germany," Economics of Education Review, Elsevier, vol. 65(C), pages 48-57.
    7. Guido W. Imbens, 2010. "Better LATE Than Nothing: Some Comments on Deaton (2009) and Heckman and Urzua (2009)," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 399-423, June.
    8. Edwin Leuven & Hessel Oosterbeek & Marte Rønning, 2008. "Quasi‐experimental Estimates of the Effect of Class Size on Achievement in Norway," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(4), pages 663-693, December.
    9. Maximilian Bach & Stephan Sievert, 2019. "Birth Cohort Size Variation and the Estimation of Class Size Effects," Discussion Papers of DIW Berlin 1817, DIW Berlin, German Institute for Economic Research.
    10. Marie Connolly & Catherine Haeck, 2018. "Le lien entre la taille des classes et les compétences cognitives et non cognitives," CIRANO Project Reports 2018rp-18, CIRANO.
    11. 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.
    12. Bauer, Thomas K. & Bender, Stefan & Paloyo, Alfredo R. & Schmidt, Christoph M., 2012. "Evaluating the labor-market effects of compulsory military service," European Economic Review, Elsevier, vol. 56(4), pages 814-829.
    13. 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.
    14. West, Martin R. & Woessmann, Ludger, 2006. "Which school systems sort weaker students into smaller classes? International evidence," European Journal of Political Economy, Elsevier, vol. 22(4), pages 944-968, December.
    15. 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.
    16. Bartalotti Otávio, 2019. "Regression Discontinuity and Heteroskedasticity Robust Standard Errors: Evidence from a Fixed-Bandwidth Approximation," Journal of Econometric Methods, De Gruyter, vol. 8(1), pages 1-26, January.
    17. Matthew M. Chingos & Kenneth A. Couch, 2013. "Class Size and Student Outcomes: Research and Policy Implications," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 32(2), pages 411-438, March.
    18. Torberg Falch & Astrid Marie Jorde Sandsør & Bjarne Strøm, 2017. "Do Smaller Classes Always Improve Students’ Long-run Outcomes?," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(5), pages 654-688, October.
    19. Simone Balestra & Uschi Backes-Gellner, 2017. "Heterogeneous effects of pupil-to-teacher ratio policies - A look at class size reduction and teacher aide," Economics of Education Working Paper Series 0130, University of Zurich, Department of Business Administration (IBW).
    20. Dahmani, Mounir & Ragni, Ludovic, 2008. "L'impact des technologies de l'information et de la communication sur les performances des étudiants [The impacts of Information and Communication Technologies on the students’ performance]," MPRA Paper 112238, University Library of Munich, Germany, revised 2009.

    More about this item

    Keywords

    regression discontinuity design; class size;

    JEL classification:

    • I20 - Health, Education, and Welfare - - Education - - - 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:iza:izadps:dp4679. 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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.html .

    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.