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The Earth is Not Flat: A New World of High-Dimensional Peer Effects

Author

Listed:
  • Aurélien Sallin
  • Simone Balestra

Abstract

The majority of recent peer-effect studies in education have focused on the effect of one particular type of peers on classmates. This view fails to take into account the reality that peer effects are heterogeneous for students with different characteristics, and that there are at least as many peer effect functions as there are types of peers. In this paper, we develop a general empirical framework that accounts for systematic interactions between peer types and nonlinearities of peer effects. We use machine-learning methods to (i) understand which dimensions of peer characteristics are the most predictive of academic success, (ii) estimate high-dimensional peer effects functions, and (iii) investigate performance-improving classroom allocation through policy-relevant simulations. First, we find that students' own characteristics are the most predictive of academic success, and that the most predictive peer effects are generated by students with special needs, low-achieving students, and male students. Second, we show that peer effects traditionally reported by the literature likely miss important nonlinearities in the distribution of peer proportions. Third, we determine that classroom compositions that are the most balanced in students' characteristics are the best ways to reach maximal aggregated school performance.

Suggested Citation

  • Aurélien Sallin & Simone Balestra, 2022. "The Earth is Not Flat: A New World of High-Dimensional Peer Effects," Economics of Education Working Paper Series 0189, University of Zurich, Department of Business Administration (IBW).
    • Handle: RePEc:iso:educat:0189
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    References listed on IDEAS

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    1. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2013. "Under Pressure? The Effect of Peers on Outcomes of Young Adults," Journal of Labor Economics, University of Chicago Press, vol. 31(1), pages 119-153.
    2. Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2009. "New Evidence about Brown v. Board of Education: The Complex Effects of School Racial Composition on Achievement," Journal of Labor Economics, University of Chicago Press, vol. 27(3), pages 349-383, July.
    3. Yann Bramoullé & Habiba Djebbari & Bernard Fortin, 2020. "Peer Effects in Networks: A Survey," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 603-629, August.
    4. Aur'elien Sallin, 2021. "Estimating returns to special education: combining machine learning and text analysis to address confounding," Papers 2110.08807, arXiv.org, revised Feb 2022.
    5. Mary A. Burke & Tim R. Sass, 2013. "Classroom Peer Effects and Student Achievement," Journal of Labor Economics, University of Chicago Press, vol. 31(1), pages 51-82.
    6. Muriel Niederle & Lise Vesterlund, 2010. "Explaining the Gender Gap in Math Test Scores: The Role of Competition," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 129-144, Spring.
    7. Victor Lavy & Analia Schlosser, 2011. "Mechanisms and Impacts of Gender Peer Effects at School," American Economic Journal: Applied Economics, American Economic Association, vol. 3(2), pages 1-33, April.
    8. Victor Lavy & M. Daniele Paserman & Analia Schlosser, 2012. "Inside the Black Box of Ability Peer Effects: Evidence from Variation in the Proportion of Low Achievers in the Classroom," Economic Journal, Royal Economic Society, vol. 122(559), pages 208-237, March.
    9. Eisenkopf, Gerald & Hessami, Zohal & Fischbacher, Urs & Ursprung, Heinrich W., 2015. "Academic performance and single-sex schooling: Evidence from a natural experiment in Switzerland," Journal of Economic Behavior & Organization, Elsevier, vol. 115(C), pages 123-143.
    10. Scott E. Carrell & Mark Hoekstra & Elira Kuka, 2018. "The Long-Run Effects of Disruptive Peers," American Economic Review, American Economic Association, vol. 108(11), pages 3377-3415, November.
    11. 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.
    12. Joshua D. Angrist & Kevin Lang, 2004. "Does School Integration Generate Peer Effects? Evidence from Boston's Metco Program," American Economic Review, American Economic Association, vol. 94(5), pages 1613-1634, December.
    13. Scott E. Carrell & Mark L. Hoekstra, 2010. "Externalities in the Classroom: How Children Exposed to Domestic Violence Affect Everyone's Kids," American Economic Journal: Applied Economics, American Economic Association, vol. 2(1), pages 211-228, January.
    14. Susan Athey & Guido W. Imbens, 2019. "Machine Learning Methods That Economists Should Know About," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 685-725, August.
    15. Sallin, Aurelién, 2021. "Estimating returns to special education: combining machine learning and text analysis to address confounding," Economics Working Paper Series 2109, University of St. Gallen, School of Economics and Political Science.
    16. Bruce Sacerdote, 2014. "Experimental and Quasi-Experimental Analysis of Peer Effects: Two Steps Forward?," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 253-272, August.
    17. Jan Bietenbeck, 2020. "The Long-Term Impacts of Low-Achieving Childhood Peers: Evidence from Project STAR," Journal of the European Economic Association, European Economic Association, vol. 18(1), pages 392-426.
    18. Pregaldini, Damiano & Backes-Gellner, Uschi & Eisenkopf, Gerald, 2020. "Girls’ preferences for STEM and the effects of classroom gender composition: New evidence from a natural experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 102-123.
    19. Angrist, Joshua D., 2014. "The perils of peer effects," Labour Economics, Elsevier, vol. 30(C), pages 98-108.
    20. Robert Bifulco & Jason M. Fletcher & Stephen L. Ross, 2011. "The Effect of Classmate Characteristics on Post-secondary Outcomes: Evidence from the Add Health," American Economic Journal: Economic Policy, American Economic Association, vol. 3(1), pages 25-53, February.
    21. Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 531-542.
    22. David N. Figlio, 2007. "Boys Named Sue: Disruptive Children and Their Peers," Education Finance and Policy, MIT Press, vol. 2(4), pages 376-394, September.
    23. Jonathan Guryan & Kory Kroft & Matthew J. Notowidigdo, 2009. "Peer Effects in the Workplace: Evidence from Random Groupings in Professional Golf Tournaments," American Economic Journal: Applied Economics, American Economic Association, vol. 1(4), pages 34-68, October.
    24. Sendhil Mullainathan & Jann Spiess, 2017. "Machine Learning: An Applied Econometric Approach," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 87-106, Spring.
    25. Roland G. Fryer & Steven D. Levitt, 2010. "An Empirical Analysis of the Gender Gap in Mathematics," American Economic Journal: Applied Economics, American Economic Association, vol. 2(2), pages 210-240, April.
    26. Rajen D. Shah & Richard J. Samworth, 2013. "Variable selection with error control: another look at stability selection," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 75(1), pages 55-80, January.
    27. Victor Lavy & Analía Schlosser, 2011. "Corrigendum: Mechanisms and Impacts of Gender Peer Effects at School," American Economic Journal: Applied Economics, American Economic Association, vol. 3(3), pages 268-268, July.
    28. Athey, Susan & Imbens, Guido W., 2019. "Machine Learning Methods Economists Should Know About," Research Papers 3776, Stanford University, Graduate School of Business.
    29. Bryan S. Graham & Guido W. Imbens & Geert Ridder, 2010. "Measuring the Effects of Segregation in the Presence of Social Spillovers: A Nonparametric Approach," NBER Working Papers 16499, National Bureau of Economic Research, Inc.
    30. Simone Balestra & Beatrix Eugster & Helge Liebert, 2020. "Summer‐born struggle: The effect of school starting age on health, education, and work," Health Economics, John Wiley & Sons, Ltd., vol. 29(5), pages 591-607, May.
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    More about this item

    Keywords

    peer effects; high dimensionality; machine learning; classroom composition;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • H75 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Government: Health, Education, and Welfare
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • I28 - Health, Education, and Welfare - - Education - - - Government Policy

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