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What Are Error Rates for Classifying Teacher and School Performance Using Value-Added Models?

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  • Peter Z. Schochet
  • Hanley S. Chiang

Abstract

This article addresses likely error rates for measuring teacher and school performance in the upper elementary grades using value-added models applied to student test score gain data. Using a realistic performance measurement system scheme based on hypothesis testing, the authors develop error rate formulas based on ordinary least squares and Empirical Bayes estimators. Empirical results suggest that value-added estimates are likely to be noisy using the amount of data that are typically used in practice. Type I and II error rates for comparing a teacher’s performance to the average are likely to be about 25% with 3 years of data and 35% with 1 year of data. Corresponding error rates for overall false positive and negative errors are 10% and 20%, respectively. Lower error rates can be achieved if schools are the performance unit. The results suggest that policymakers must carefully consider likely system error rates when using value-added estimates to make high-stakes decisions regarding educators.

Suggested Citation

  • Peter Z. Schochet & Hanley S. Chiang, 2013. "What Are Error Rates for Classifying Teacher and School Performance Using Value-Added Models?," Journal of Educational and Behavioral Statistics, , vol. 38(2), pages 142-171, April.
  • Handle: RePEc:sae:jedbes:v:38:y:2013:i:2:p:142-171
    DOI: 10.3102/1076998611432174
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    References listed on IDEAS

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    1. Thomas J. Kane & Douglas O. Staiger, 2008. "Estimating Teacher Impacts on Student Achievement: An Experimental Evaluation," NBER Working Papers 14607, National Bureau of Economic Research, Inc.
    2. Thomas J. Kane & Douglas O. Staiger, 2002. "The Promise and Pitfalls of Using Imprecise School Accountability Measures," Journal of Economic Perspectives, American Economic Association, vol. 16(4), pages 91-114, Fall.
    3. Tahir Andrabi & Jishnu Das & Asim Ijaz Khwaja & Tristan Zajonc, 2011. "Do Value-Added Estimates Add Value? Accounting for Learning Dynamics," American Economic Journal: Applied Economics, American Economic Association, vol. 3(3), pages 29-54, July.
    4. Eric A. Hanushek & John F. Kain & Steven G. Rivkin & Daniel M. O'Brien, 2005. "The Market for Teacher Quality," Discussion Papers 04-025, Stanford Institute for Economic Policy Research.
    5. Daniel Aaronson & Lisa Barrow & William Sander, 2007. "Teachers and Student Achievement in the Chicago Public High Schools," Journal of Labor Economics, University of Chicago Press, vol. 25(1), pages 95-135.
    6. Kane, Thomas J. & Rockoff, Jonah E. & Staiger, Douglas O., 2008. "What does certification tell us about teacher effectiveness? Evidence from New York City," Economics of Education Review, Elsevier, vol. 27(6), pages 615-631, December.
    7. Cory Koedel & Julian R. Betts, 2011. "Does Student Sorting Invalidate Value-Added Models of Teacher Effectiveness? An Extended Analysis of the Rothstein Critique," Education Finance and Policy, MIT Press, vol. 6(1), pages 18-42, January.
    8. Jesse Rothstein, 2010. "Teacher Quality in Educational Production: Tracking, Decay, and Student Achievement," The Quarterly Journal of Economics, Oxford University Press, vol. 125(1), pages 175-214.
    9. Brian A. Jacob & Lars Lefgren, 2008. "Can Principals Identify Effective Teachers? Evidence on Subjective Performance Evaluation in Education," Journal of Labor Economics, University of Chicago Press, vol. 26(1), pages 101-136.
    10. Cory Koedel & Julian Betts, 2007. "Re-Examining the Role of Teacher Quality In the Educational Production Function," Working Papers 0708, Department of Economics, University of Missouri.
    11. Peter Z. Schochet & Hanley S. Chiang, "undated". "Error Rates in Measuring Teacher and School Performance Based on Student Test Score Gains," Mathematica Policy Research Reports d415285f980b4d64b7e75f40b, Mathematica Policy Research.
    12. repec:mpr:mprres:6721 is not listed on IDEAS
    13. Peter Z. Schochet, "undated". "Statistical Power for Random Assignment Evaluations of Education Programs," Mathematica Policy Research Reports 6749d31ad72d4acf988f7dce5, Mathematica Policy Research.
    14. repec:mpr:mprres:5863 is not listed on IDEAS
    15. Petra E. Todd & Kenneth I. Wolpin, 2003. "On The Specification and Estimation of The Production Function for Cognitive Achievement," Economic Journal, Royal Economic Society, vol. 113(485), pages 3-33, February.
    16. repec:mpr:mprres:6941 is not listed on IDEAS
    17. Jonah E. Rockoff, 2004. "The Impact of Individual Teachers on Student Achievement: Evidence from Panel Data," American Economic Review, American Economic Association, vol. 94(2), pages 247-252, May.
    18. Eric A. Hanushek & Steven G. Rivkin, 2010. "Generalizations about Using Value-Added Measures of Teacher Quality," American Economic Review, American Economic Association, vol. 100(2), pages 267-271, May.
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    Cited by:

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    2. Blazar, David, 2015. "Effective teaching in elementary mathematics: Identifying classroom practices that support student achievement," Economics of Education Review, Elsevier, vol. 48(C), pages 16-29.
    3. Backes, Ben & Cowan, James & Goldhaber, Dan & Koedel, Cory & Miller, Luke C. & Xu, Zeyu, 2018. "The common core conundrum: To what extent should we worry that changes to assessments will affect test-based measures of teacher performance?," Economics of Education Review, Elsevier, vol. 62(C), pages 48-65.
    4. Koedel, Cory & Mihaly, Kata & Rockoff, Jonah E., 2015. "Value-added modeling: A review," Economics of Education Review, Elsevier, vol. 47(C), pages 180-195.
    5. Marianne Bitler & Sean Corcoran & Thurston Domina & Emily Penner, 2019. "Teacher Effects on Student Achievement and Height: A Cautionary Tale," NBER Working Papers 26480, National Bureau of Economic Research, Inc.

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