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Nonlinear Correlated Random Effects Models with Endogeneity and Unbalanced Panels

Author

Listed:
  • Michael Bates

    (Department of Economics, University of California Riverside)

  • Jeffrey Wooldridge
  • Lelsie papke

Abstract

We present simple procedures for estimating nonlinear panel data models in the presence of unobserved heterogeneity and possible endogeneity with respect to time-varying unobervables. We combine a correlated random effects approach with a control function approach while accounting for missing time periods for some units. We examine the performance of the approach in comparisons with standard estimators using Monte Carlo simulation. We apply the methods to estimating the effects of school spending on student pass rates on a standardized math exam. We find that a 10 percent increase in spending leads to an approximately two percentage point increase in math pass rates.

Suggested Citation

  • Michael Bates & Jeffrey Wooldridge & Lelsie papke, 2022. "Nonlinear Correlated Random Effects Models with Endogeneity and Unbalanced Panels," Working Papers 202214, University of California at Riverside, Department of Economics.
  • Handle: RePEc:ucr:wpaper:202214
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    References listed on IDEAS

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    1. Chaudhary, Latika, 2009. "Education inputs, student performance and school finance reform in Michigan," Economics of Education Review, Elsevier, vol. 28(1), pages 90-98, February.
    2. Wooldridge, Jeffrey M., 2019. "Correlated random effects models with unbalanced panels," Journal of Econometrics, Elsevier, vol. 211(1), pages 137-150.
    3. Alberto Abadie & Susan Athey & Guido W Imbens & Jeffrey M Wooldridge, 2023. "When Should You Adjust Standard Errors for Clustering?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 138(1), pages 1-35.
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    5. Julien Lafortune & Jesse Rothstein & Diane Whitmore Schanzenbach, 2018. "School Finance Reform and the Distribution of Student Achievement," American Economic Journal: Applied Economics, American Economic Association, vol. 10(2), pages 1-26, April.
    6. Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
    7. Joydeep Roy, 2011. "Impact of School Finance Reform on Resource Equalization and Academic Performance: Evidence from Michigan," Education Finance and Policy, MIT Press, vol. 6(2), pages 137-167, April.
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    2. Danilo Boffa & Antonio Prencipe & Luciano D’Amico & Christian Corsi, 2023. "Gender Inclusiveness and Female Representation on the Board of Directors of the Benefit Company Model: Evidence from Italy," Sustainability, MDPI, vol. 15(7), pages 1-20, March.

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    More about this item

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • I22 - Health, Education, and Welfare - - Education - - - Educational Finance; Financial Aid
    • I26 - Health, Education, and Welfare - - Education - - - Returns to Education

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