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Maimonides Rule Redux

Author

Listed:
  • Joshua D. Angrist
  • Victor Lavy
  • Jetson Leder-Luis
  • Adi Shany

Abstract

We use the discontinuous function of enrollment known as Maimonides Rule as an instrument for class size in large Israeli samples from 2002-2011. As in the 1991 data analyzed by Angrist and Lavy (1999), Maimonides Rule still has a strong first stage. In contrast with the earlier Israeli estimates, however, Maimonides-based instrumental variables estimates using more recent data show no effect of class size on achievement. The new data also reveal substantial enrollment sorting near Maimonides cutoffs, with too many schools having enrollment values that just barely produce an extra class. A modified rule that uses data on students’ birthdays to compute statutory enrollment in the absence of enrollment manipulation also generates a precisely estimated zero. In older data, the original Maimonides Rule is unrelated to socioeconomic characteristics, while in more recent data, the original rule is unrelated to socioeconomic characteristics conditional on a few controls. Enrollment manipulation therefore appears to be innocuous: neither the original negative effects nor the recent data zeros seem likely to be manipulation artifacts.

Suggested Citation

  • Joshua D. Angrist & Victor Lavy & Jetson Leder-Luis & Adi Shany, 2017. "Maimonides Rule Redux," NBER Working Papers 23486, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:23486
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    References listed on IDEAS

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    1. Alan B. Krueger, 1999. "Experimental Estimates of Education Production Functions," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 497-532.
    2. Gary-Bobo, Robert J. & Mahjoub, Mohamed Badrane, 2006. "Estimation of Class-Size Effects, Using 'Maimonides' Rule': The Case of French Junior High Schools," CEPR Discussion Papers 5754, C.E.P.R. Discussion Papers.
    3. Alan I. Barreca & Jason M. Lindo & Glen R. Waddell, 2016. "Heaping-Induced Bias In Regression-Discontinuity Designs," Economic Inquiry, Western Economic Association International, vol. 54(1), pages 268-293, January.
    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. Douglas Almond & Joseph J. Doyle & Amanda E. Kowalski & Heidi Williams, 2010. "Estimating Marginal Returns to Medical Care: Evidence from At-risk Newborns," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(2), pages 591-634.
    6. Alan I. Barreca & Melanie Guldi & Jason M. Lindo & Glen R. Waddell, 2011. "Saving Babies? Revisiting the effect of very low birth weight classification," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 2117-2123.
    7. Brian A. Jacob & Steven D. Levitt, 2003. "Rotten Apples: An Investigation of the Prevalence and Predictors of Teacher Cheating," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(3), pages 843-877.
    8. 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.
    9. 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.
    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. Taisuke Otsu & Ke-Li Xu & Yukitoshi Matsushita, 2013. "Estimation and Inference of Discontinuity in Density," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(4), pages 507-524, October.
    12. Lavy, Victor, 2012. "Expanding School Resources and Increasing Time on Task: Effects of a Policy Experiment in Israel on Student Academic Achievement and Behaviour," CAGE Online Working Paper Series 95, Competitive Advantage in the Global Economy (CAGE).
    13. Gerard, Francois & Rokkanen, Miikka & Rothe, Christoph, 2015. "Identification and Inference in Regression Discontinuity Designs with a Manipulated Running Variable," IZA Discussion Papers 9604, Institute of Labor Economics (IZA).
    14. 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.
    15. Hans Bonesrønning, 2003. "Class Size Effects on Student Achievement in Norway: Patterns and Explanations," Southern Economic Journal, John Wiley & Sons, vol. 69(4), pages 952-965, April.
    16. Simone Dobbelsteen & Jesse Levin & Hessel Oosterbeek, 2002. "The causal effect of class size on scholastic achievement: distinguishing the pure class size effect from the effect of changes in class composition," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 64(1), pages 17-38, February.
    17. David Sims, 2008. "A strategic response to class size reduction: Combination classes and student achievement in California," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 27(3), pages 457-478.
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    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • I26 - Health, Education, and Welfare - - Education - - - Returns to Education
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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