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Convexity, Quality and Efficiency in Education

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  • David J. Mayston

Abstract

While Data Envelopment Analysis (DEA) has many attractions as a technique for analysing the efficiency of educational organisations, such as schools and universities, its efficiency estimates are based upon the assumption that the output possibility set is convex. If this assumption does not hold, DEA may overstate the scope for improvements in technical efficiency through proportional increases in all educational outputs and understate the importance of improvements in allocative efficiency from changing the educational output mix. The paper therefore examines conditions under which such convexity may not hold, particularly when the performance and efficiency evaluation includes measures related to the assessed quality of the educational outputs, and the position of the school or university in national league tables. Under such conditions, there is a need to deploy other educational efficiency assessment tools, including an alternative non-parametric output-orientated technique and a more explicit valuation function for educational outputs.

Suggested Citation

  • David J. Mayston, 2015. "Convexity, Quality and Efficiency in Education," Discussion Papers 15/08, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:15/08
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    References listed on IDEAS

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    1. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    2. Antreas Athanassopoulos & Estelle Shale, 1997. "Assessing the Comparative Efficiency of Higher Education Institutions in the UK by the Means of Data Envelopment Analysis," Education Economics, Taylor & Francis Journals, vol. 5(2), pages 117-134.
    3. Dominique Deprins & Léopold Simar & Henry Tulkens, 2006. "Measuring Labor-Efficiency in Post Offices," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 285-309, Springer.
    4. Maria Silva Portela & Pedro Borges & Emmanuel Thanassoulis, 2003. "Finding Closest Targets in Non-Oriented DEA Models: The Case of Convex and Non-Convex Technologies," Journal of Productivity Analysis, Springer, vol. 19(2), pages 251-269, April.
    5. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
    6. 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.
    7. Johnes, Jill & Johnes, Geraint, 1995. "Research funding and performance in U.K. University Departments of Economics: A frontier analysis," Economics of Education Review, Elsevier, vol. 14(3), pages 301-314, September.
    8. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    9. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2007. "Data Envelopment Analysis," Springer Books, Springer, edition 0, number 978-0-387-45283-8, December.
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    More about this item

    Keywords

    Data envelopment analysis; quality; education; efficiency analysis; allocative efficiency;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • H52 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Education
    • I20 - Health, Education, and Welfare - - Education - - - General
    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions

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