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The Effects of Class Size and Composition on Student Achievement: New Evidence from Natural Population Variation

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Author Info
Caroline M. Hoxby

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Abstract

I use natural population variation to identify the effects of class size and composition on student achievement. I isolate the credibly random component of population variation in each grade and school district and use this component to generate instrumental variables for class size and composition. I also exploit the discontinuous changes in class size that occur when natural population variation triggers a change in the number of classes in a grade in a school. Discontinuity-based results are both consistent and precise only when applied to within-district changes in class size and population. I find that reductions in class size from a base of 15 to 30 students have no effect on student achievement. The estimates are precise enough to identify improvements in math, reading, or writing achievement of just 3/100ths of a standard deviation. I find that the presence of black students in a class, in an of itself, has no effect on achievement. I demonstrate that estimates of the effect of racial composition that rely on between-district comparisons suffer from substantial bias. Finally, I show that more female classes perform significantly better in writing in the 4th through 8th grades and in math in the 4th grade. Comparison of the effects to average male-female differences in test scores suggest that gender composition alters classroom conduct.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 6869.

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Date of creation: Dec 1998
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Handle: RePEc:nbr:nberwo:6869

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  1. Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 1998. "Teachers, Schools, and Academic Achievement," NBER Working Papers 6691, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. repec:fth:prinin:440 is not listed on IDEAS
  3. Rosalind Levacic & Stephen Machin & David Reynolds & Anna Vignoles & James Walker, 2000. "The Relationship between Resource Allocation and Pupil Attainment: A Review," CEE Discussion Papers 0002, Centre for the Economics of Education, LSE. [Downloadable!]
  4. Jonathan Gruber & Phillip Levine & Douglas Staiger, 1997. "Abortion Legalization and Child Living Circumstances: Who is the "Marginal Child?"," NBER Working Papers 6034, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Joshua D. Angrist & Victor Lavy, 1997. "Using Maimonides' Rule to Estimate the Effect of Class Size on Student Achievement," NBER Working Papers 5888, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Jeffrey R. Kling & Cecilia Rouse, 2000. "School Reform in the 21st Century: A Look at the Effect of Class Size and School Vouchers on the Academic Achievement of Minority Students," Working Papers 819, Princeton University, Department of Economics, Industrial Relations Section.. [Downloadable!]
  7. Arulampalam, Wiji & Naylor, Robin & Smith, Jeremy, 2008. "Am I Missing Something? The Effects of Absence from Class on Student Performance," IZA Discussion Papers 3749, Institute for the Study of Labor (IZA). [Downloadable!]
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  8. Jakubowski, Maciej & Sakowski, Pawel, 2006. "Quasi-Experimental Estimates of Class Size Effect in Primary Schools in Poland," MPRA Paper 4958, University Library of Munich, Germany. [Downloadable!]
  9. Tanja Kirjavainen, 2007. "Efficiency of Finnish Upper Secondary Schools: An Application of Stochastic Frontier Analysis with Panel Data," Discussion Papers 428, Government Institute for Economic Research Finland (VATT). [Downloadable!]
  10. Justin L. Tobias & Mingliang Li, 2003. "A finite-sample hierarchical analysis of wage variation across public high schools: evidence from the NLSY and high school and beyond," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(3), pages 315-336. [Downloadable!]
  11. Eric A. Hanushek, . "The Evidence on Class Size," Wallis Working Papers WP10, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
  12. Steve Bradley & Jim Taylor, 2008. "Diversity, choice and the quasi-market: An empirical analysis of secondary education policy in England," Working Papers 005802, Lancaster University Management School, Economics Department. [Downloadable!]
  13. A. Abigail Payne & Aloysius Siow, 1998. "Estimating the Effects of Federal Research Funding on Universities using Alumni Representation on Congressional Appropriations Committees," Working Papers siow-99-02, University of Toronto, Department of Economics. [Downloadable!]
  14. Kelly Bedard & William O. Brown, Jr., . "The Allocation of Public School Expenditures," Claremont Colleges Working Papers 2000-16, Claremont Colleges. [Downloadable!]
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