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School district consolidation policies: endogenous cost inefficiency and saving reversals

Author

Listed:
  • Mustafa U. Karakaplan

    (Georgetown University)

  • Levent Kutlu

    (Georgia Institute of Technology)

Abstract

Some education policy studies suggest that consolidation of public school districts saves resources. However, endogeneity in cost models would result in incorrect estimates of the effects of consolidation. We use a new stochastic frontier methodology to examine district expenditures while handling endogeneity. Using the data from California, we find that the effects of student achievement and education market concentration on expenditure per pupil are substantially larger when endogeneity is handled. Our findings are robust to concerns such as instrumental variable adequacy and spatial interactions. Our consolidation simulations indicate that failure to address endogeneity can result in unrealistic expectations of savings.

Suggested Citation

  • Mustafa U. Karakaplan & Levent Kutlu, 2019. "School district consolidation policies: endogenous cost inefficiency and saving reversals," Empirical Economics, Springer, vol. 56(5), pages 1729-1768, May.
  • Handle: RePEc:spr:empeco:v:56:y:2019:i:5:d:10.1007_s00181-017-1398-z
    DOI: 10.1007/s00181-017-1398-z
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    1. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
    2. Caroline Minter Hoxby, 2003. "School Choice and School Productivity. Could School Choice Be a Tide that Lifts All Boats?," NBER Chapters, in: The Economics of School Choice, pages 287-342, National Bureau of Economic Research, Inc.
    3. repec:taf:jnlbes:v:30:y:2012:i:1:p:67-80 is not listed on IDEAS
    4. O'Donnell, Christopher J. & Coelli, Timothy J., 2005. "A Bayesian approach to imposing curvature on distance functions," Journal of Econometrics, Elsevier, vol. 126(2), pages 493-523, June.
    5. Greene, William H., 1980. "Maximum likelihood estimation of econometric frontier functions," Journal of Econometrics, Elsevier, vol. 13(1), pages 27-56, May.
    6. William Duncombe & John Yinger, 2007. "Does School District Consolidation Cut Costs?," Education Finance and Policy, MIT Press, vol. 2(4), pages 341-375, September.
    7. Caroline M. Hoxby, 2000. "Does Competition among Public Schools Benefit Students and Taxpayers?," American Economic Review, American Economic Association, vol. 90(5), pages 1209-1238, December.
    8. Borland, Melvin V. & Howsen, Roy M, 1992. "Student academic achievement and the degree of market concentration in education," Economics of Education Review, Elsevier, vol. 11(1), pages 31-39, March.
    9. Shawna Grosskopf & Kathy J. Hayes & Lori L. Taylor, 2009. "The Relative Efficiency Of Charter Schools," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 80(1), pages 67-87, March.
    10. Izadi, Hooshang & Johnes, Geraint & Oskrochi, Reza & Crouchley, Robert, 2002. "Stochastic frontier estimation of a CES cost function: the case of higher education in Britain," Economics of Education Review, Elsevier, vol. 21(1), pages 63-71, February.
    11. William Greene, 2003. "Simulated Likelihood Estimation of the Normal-Gamma Stochastic Frontier Function," Journal of Productivity Analysis, Springer, vol. 19(2), pages 179-190, April.
    12. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 2008. "The Measurement of Productive Efficiency and Productivity Growth," OUP Catalogue, Oxford University Press, number 9780195183528.
    13. Amsler, Christine & Prokhorov, Artem & Schmidt, Peter, 2016. "Endogeneity in stochastic frontier models," Journal of Econometrics, Elsevier, vol. 190(2), pages 280-288.
    14. Marvin E. Dodson & Thomas A. Garrett, 2004. "Inefficient Education Spending in Public School Districts: A Case for Consolidation?," Contemporary Economic Policy, Western Economic Association International, vol. 22(2), pages 270-280, April.
    15. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
    16. Greene, William H., 1980. "On the estimation of a flexible frontier production model," Journal of Econometrics, Elsevier, vol. 13(1), pages 101-115, May.
    17. Kutlu, Levent, 2017. "A constrained state space approach for estimating firm efficiency," Economics Letters, Elsevier, vol. 152(C), pages 54-56.
    18. Hung-jen Wang & Peter Schmidt, 2002. "One-Step and Two-Step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels," Journal of Productivity Analysis, Springer, vol. 18(2), pages 129-144, September.
    19. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    20. Duncombe, William & Miner, Jerry & Ruggiero, John, 1995. "Potential cost savings from school district consolidation: A case study of New York," Economics of Education Review, Elsevier, vol. 14(3), pages 265-284, September.
    21. Kutlu, Levent, 2010. "Battese-coelli estimator with endogenous regressors," Economics Letters, Elsevier, vol. 109(2), pages 79-81, November.
    22. Grosskopf, Shawna & Hayes, Kathy J. & Taylor, Lori L. & Weber, William L., 2001. "On the Determinants of School District Efficiency: Competition and Monitoring," Journal of Urban Economics, Elsevier, vol. 49(3), pages 453-478, May.
    23. Stevenson, Rodney E., 1980. "Likelihood functions for generalized stochastic frontier estimation," Journal of Econometrics, Elsevier, vol. 13(1), pages 57-66, May.
    24. Amsler, Christine & Prokhorov, Artem & Schmidt, Peter, 2017. "Endogenous environmental variables in stochastic frontier models," Journal of Econometrics, Elsevier, vol. 199(2), pages 131-140.
    25. Mustafa U. Karakaplan, 2017. "Fitting endogenous stochastic frontier models in Stata," Stata Journal, StataCorp LP, vol. 17(1), pages 39-55, March.
    26. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-374, October.
    27. Gronberg, Timothy J. & Jansen, Dennis W. & Taylor, Lori L., 2012. "The relative efficiency of charter schools: A cost frontier approach," Economics of Education Review, Elsevier, vol. 31(2), pages 302-317.
    28. Mustafa U. Karakaplan & Levent Kutlu, 2017. "Handling Endogeneity in Stochastic Frontier Analysis," Economics Bulletin, AccessEcon, vol. 37(2), pages 889-901.
    29. Zanzig, Blair R., 1997. "Measuring the impact of competition in local government education markets on the cognitive achievement of students," Economics of Education Review, Elsevier, vol. 16(4), pages 431-441, October.
    30. Andrews, Matthew & Duncombe, William & Yinger, John, 2002. "Revisiting economies of size in American education: are we any closer to a consensus?," Economics of Education Review, Elsevier, vol. 21(3), pages 245-262, June.
    31. repec:wly:soecon:v:82:2:y:2015:p:580-597 is not listed on IDEAS
    32. Ryan Mutter & William Greene & William Spector & Michael Rosko & Dana Mukamel, 2013. "Investigating the impact of endogeneity on inefficiency estimates in the application of stochastic frontier analysis to nursing homes," Journal of Productivity Analysis, Springer, vol. 39(2), pages 101-110, April.
    33. Meryem Duygun & Levent Kutlu & Robin C. Sickles, 2016. "Measuring productivity and efficiency: a Kalman filter approach," Journal of Productivity Analysis, Springer, vol. 46(2), pages 155-167, December.
    34. Jesse Rothstein, 2007. "Does Competition Among Public Schools Benefit Students and Taxpayers? Comment," American Economic Review, American Economic Association, vol. 97(5), pages 2026-2037, December.
    35. Millimet, Daniel L. & Collier, Trevor, 2008. "Efficiency in public schools: Does competition matter?," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 134-157, July.
    36. Glass, Anthony & Kenjegalieva, Karligash & Paez-Farrell, Juan, 2013. "Productivity growth decomposition using a spatial autoregressive frontier model," Economics Letters, Elsevier, vol. 119(3), pages 291-295.
    37. Cornwell, Christopher & Schmidt, Peter & Sickles, Robin C., 1990. "Production frontiers with cross-sectional and time-series variation in efficiency levels," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 185-200.
    38. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    39. Kumbhakar,Subal C. & Lovell,C. A. Knox, 2003. "Stochastic Frontier Analysis," Cambridge Books, Cambridge University Press, number 9780521666633.
    40. Morakinyo Adetutu & Anthony Glass & Karligash Kenjegalieva & Robin Sickles, 2015. "The effects of efficiency and TFP growth on pollution in Europe: a multistage spatial analysis," Journal of Productivity Analysis, Springer, vol. 43(3), pages 307-326, June.
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    Cited by:

    1. Kutlu, Levent & Liu, Shasha & Sickles, Robin C., 2018. "Cost, Revenue, and Profit Function Estimates," Working Papers 18-006, Rice University, Department of Economics.
    2. Mohammad Ariful Islam & Seiichi Fukui, 2018. "The influence of share tenancy contracts on the cost efficiency of rice production during the Bangladeshi wet season," Economics Bulletin, AccessEcon, vol. 38(4), pages 2431-2443.
    3. Mohammad I. Al Masud & Levent Kutlu, 2018. "US Bank Efficiency and FED Activity," Economics Bulletin, AccessEcon, vol. 38(4), pages 2047-2059.
    4. Kutlu, Levent & Tran, Kien C. & Tsionas, Mike G., 2019. "A time-varying true individual effects model with endogenous regressors," Journal of Econometrics, Elsevier, vol. 211(2), pages 539-559.
    5. Guarini, Giulio & Laureti, Tiziana & Garofalo, Giuseppe, 2020. "Socio-institutional determinants of educational resource efficiency according to the capability approach: An endogenous stochastic frontier analysis," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    6. Dibyendu Maiti & Chiranjib Neogi, 2020. "Endogeneity Corrected Stochastic Frontier with Market Imperfections," Working papers 313, Centre for Development Economics, Delhi School of Economics.
    7. Kutlu, Levent & Tran, Kien C. & Tsionas, Mike G., 2020. "A spatial stochastic frontier model with endogenous frontier and environmental variables," European Journal of Operational Research, Elsevier, vol. 286(1), pages 389-399.

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    More about this item

    Keywords

    Educational finance; Expenditures; Costs; Consolidation; Economies of scale; Efficiency; Endogeneity;
    All these keywords.

    JEL classification:

    • I22 - Health, Education, and Welfare - - Education - - - Educational Finance; Financial Aid
    • I28 - Health, Education, and Welfare - - Education - - - Government Policy
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • H72 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Budget and Expenditures
    • H75 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Government: Health, Education, and Welfare
    • L38 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Public Policy

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