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The Importance of Matching Effects for Labor Productivity: Evidence from Teacher-Student Interactions

Author

Listed:
  • Tom Ahn

    (Graduate School Defense Management, Naval Postgraduate School.)

  • Esteban Aucejo

    (Department of Economics, Arizona State University)

  • Jonathan James

    (Department of Economics, California Polytechnic State University)

Abstract

We examine matching effects in worker productivity within the educational context by introducing a novel estimator for teacher value-added models that is more robust than previous estimators and is well-suited for multi-dimensional problems. Using this new framework, we show that teacher effectiveness is highly dependent on interaction effects between teachers and the individual characteristics of their students. For example, the difference in value-added between well and poorly-matched students for the median teacher is on the order of 0.1σ test score units. Moreover, matching effects are particularly salient for low-achieving students. The difference in teacher value-added between an effective and ineffective teacher in language arts for low-achieving students is twice as large as the di erence for high-achieving students. We also show that teacher rankings based on value-added are sensitive to classroom assignment due to match effects. To overcome this problem we propose an approach to rank teachers based on expected utility.

Suggested Citation

  • Tom Ahn & Esteban Aucejo & Jonathan James, 2021. "The Importance of Matching Effects for Labor Productivity: Evidence from Teacher-Student Interactions," Working Papers 2106, California Polytechnic State University, Department of Economics.
    • Handle: RePEc:cpl:wpaper:2106
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    References listed on IDEAS

    as
    1. Aucejo, Esteban M. & Romano, Teresa Foy, 2016. "Assessing the effect of school days and absences on test score performance," Economics of Education Review, Elsevier, vol. 55(C), pages 70-87.
    2. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
    3. Atila Abdulkadiroğlu & Parag A. Pathak & Jonathan Schellenberg & Christopher R. Walters, 2020. "Do Parents Value School Effectiveness?," American Economic Review, American Economic Association, vol. 110(5), pages 1502-1539, May.
    4. C. Kirabo Jackson, 2013. "Match Quality, Worker Productivity, and Worker Mobility: Direct Evidence from Teachers," The Review of Economics and Statistics, MIT Press, vol. 95(4), pages 1096-1116, October.
    5. Seth Gershenson & Cassandra M. D. Hart & Joshua Hyman & Constance A. Lindsay & Nicholas W. Papageorge, 2022. "The Long-Run Impacts of Same-Race Teachers," American Economic Journal: Economic Policy, American Economic Association, vol. 14(4), pages 300-342, November.
    6. Eckstein, Zvi & van den Berg, Gerard J., 2007. "Empirical labor search: A survey," Journal of Econometrics, Elsevier, vol. 136(2), pages 531-564, February.
    7. Ravi Varadhan & Christophe Roland, 2008. "Simple and Globally Convergent Methods for Accelerating the Convergence of Any EM Algorithm," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 35(2), pages 335-353, June.
    8. Bryan S. Graham & Geert Ridder & Petra Thiemann & Gema Zamarro, 2023. "Teacher-to-Classroom Assignment and Student Achievement," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(4), pages 1328-1340, October.
    9. Jesse Rothstein, 2017. "Measuring the Impacts of Teachers: Comment," American Economic Review, American Economic Association, vol. 107(6), pages 1656-1684, June.
    10. Koedel, Cory & Mihaly, Kata & Rockoff, Jonah E., 2015. "Value-added modeling: A review," Economics of Education Review, Elsevier, vol. 47(C), pages 180-195.
    11. Jie Gong & Yi Lu & Hong Song, 2018. "The Effect of Teacher Gender on Students’ Academic and Noncognitive Outcomes," Journal of Labor Economics, University of Chicago Press, vol. 36(3), pages 743-778.
    12. Raj Chetty & John N. Friedman & Jonah E. Rockoff, 2014. "Measuring the Impacts of Teachers I: Evaluating Bias in Teacher Value-Added Estimates," American Economic Review, American Economic Association, vol. 104(9), pages 2593-2632, September.
    13. Raj Chetty & John N. Friedman & Jonah E. Rockoff, 2017. "Measuring the Impacts of Teachers: Reply," American Economic Review, American Economic Association, vol. 107(6), pages 1685-1717, June.
    14. Lusher, Lester & Campbell, Doug & Carrell, Scott, 2018. "TAs like me: Racial interactions between graduate teaching assistants and undergraduates," Journal of Public Economics, Elsevier, vol. 159(C), pages 203-224.
    15. Michael Gilraine & Jiaying Gu & Robert McMillan, 2020. "A New Method for Estimating Teacher Value-Added," NBER Working Papers 27094, National Bureau of Economic Research, Inc.
    16. Condie, Scott & Lefgren, Lars & Sims, David, 2014. "Teacher heterogeneity, value-added and education policy," Economics of Education Review, Elsevier, vol. 40(C), pages 76-92.
    17. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, March.
    18. Andrew Bacher-Hicks & Thomas J. Kane & Douglas O. Staiger, 2014. "Validating Teacher Effect Estimates Using Changes in Teacher Assignments in Los Angeles," NBER Working Papers 20657, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Marco Ovidi, 2022. "Parents Know Better: Sorting on Match Effects in Primary School," DISCE - Working Papers del Dipartimento di Economia e Finanza def121, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).

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    More about this item

    Keywords

    value-added; teacher; productivity; matching; multivariate shrinkage;
    All these keywords.

    JEL classification:

    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality
    • J21 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Force and Employment, Size, and Structure

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