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Malmquist indexes with quasi-fixed inputs: An application to school districts in Québec

Author

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  • Pierre Ouellette

    () (GREDI, Département d'économique, Université de Sherbrooke)

  • Valérie Vierstraete

    () (GREDI, Département d'économique, Université de Sherbrooke)

Abstract

In a non-market environment, there is no pressure coming from competitors that leads firms toward efficiency. Public education system is the target of many critiques as being such an example of inefficiency. Some papers attempted to measure the level of inefficiency of schools or school districts using different methods. Unfortunately, those methods do not include an important aspect of the school management that is characterized by the incapacity to adjust some inputs like buildings and equipment to their optimal level. In this paper, we use a generalization of Malmquist indexes that introduces this lack of flexibility in the measurement of productivity and we apply this method in the case of school districts in the Province of Québec (Canada).

Suggested Citation

  • Pierre Ouellette & Valérie Vierstraete, 2008. "Malmquist indexes with quasi-fixed inputs: An application to school districts in Québec," Cahiers de recherche 08-25, Departement d'Economique de l'École de gestion à l'Université de Sherbrooke.
  • Handle: RePEc:shr:wpaper:08-25
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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-0825.pdf
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    References listed on IDEAS

    as
    1. Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
    2. Kirjavainen, Tanja & Loikkanent, Heikki A., 1998. "Efficiency differences of finnish senior secondary schools: An application of DEA and Tobit analysis," Economics of Education Review, Elsevier, vol. 17(4), pages 377-394, October.
    3. David Lambert, 1999. "Scale and the Malmquist productivity index," Applied Economics Letters, Taylor & Francis Journals, vol. 6(9), pages 593-596.
    4. Elvira Silva & Spiro E. Stefanou, 2007. "Dynamic Efficiency Measurement: Theory and Application," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(2), pages 398-419.
    5. Kalyan Chakraborty & Basudeb Biswas & W. Cris Lewis, 2001. "Measurement of Technical Efficiency in Public Education: A Stochastic and Nonstochastic Production Function Approach," Southern Economic Journal, Southern Economic Association, vol. 67(4), pages 889-905, April.
    6. Ouellette, Pierre & Vierstraete, Valerie, 2004. "Technological change and efficiency in the presence of quasi-fixed inputs: A DEA application to the hospital sector," European Journal of Operational Research, Elsevier, vol. 154(3), pages 755-763, May.
    7. Grosskopf, Shawna & Moutray, Chad, 2001. "Evaluating performance in Chicago public high schools in the wake of decentralization," Economics of Education Review, Elsevier, vol. 20(1), pages 1-14, February.
    8. Nemoto, Jiro & Goto, Mika, 1999. "Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies," Economics Letters, Elsevier, vol. 64(1), pages 51-56, July.
    9. Jaume Puig-Junoy, 1998. "Technical efficiency in the clinical management of critically ill patients," Health Economics, John Wiley & Sons, Ltd., vol. 7(3), pages 263-277.
    10. Brenda Gannon, 2007. "Total factor productivity growth of hospitals in Ireland: a nonparametric approach," Applied Economics Letters, Taylor & Francis Journals, vol. 15(2), pages 131-135.
    11. A. T. Flegg & D. O. Allen & K. Field & T. W. Thurlow, 2004. "Measuring the efficiency of British universities: a multi-period data envelopment analysis," Education Economics, Taylor & Francis Journals, vol. 12(3), pages 231-249.
    12. Mette Asmild & Fai Tam, 2007. "Estimating global frontier shifts and global Malmquist indices," Journal of Productivity Analysis, Springer, vol. 27(2), pages 137-148, April.
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    Citations

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    Cited by:

    1. Kristof de Witte & Laura López-Torres, 2015. "Efficiency in Education. A Review of Literature and a Way Forward," Working Papers 1501, Departament Empresa, Universitat Autònoma de Barcelona, revised Apr 2015.
    2. Paolo Liberati & Raffaele Lagravinese & Giuliano Resce, 2017. "How Does Economic Social And Cultural Status Affect The Efficiency Of Educational Attainments? A Comparative Analysis On Pisa Results," Departmental Working Papers of Economics - University 'Roma Tre' 0217, Department of Economics - University Roma Tre.
    3. Brennan, Shae & Haelermans, Carla & Ruggiero, John, 2014. "Nonparametric estimation of education productivity incorporating nondiscretionary inputs with an application to Dutch schools," European Journal of Operational Research, Elsevier, vol. 234(3), pages 809-818.
    4. repec:eee:soceps:v:61:y:2018:i:c:p:29-36 is not listed on IDEAS
    5. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    6. Podinovski, Victor V. & Ismail, Ihsan & Bouzdine-Chameeva, Tatiana & Zhang, Wenjuan, 2014. "Combining the assumptions of variable and constant returns to scale in the efficiency evaluation of secondary schools," European Journal of Operational Research, Elsevier, vol. 239(2), pages 504-513.
    7. López-Torres, Laura & Prior, Diego, 2013. "Do Parents Perceive The Technical Quality Of Public Schools? An Activity Analysis Approach," Regional and Sectoral Economic Studies, Euro-American Association of Economic Development, vol. 13(3), pages 39-60.

    More about this item

    Keywords

    Data envelopment analysis; Efficiency; Productivity; Québec school districts;

    JEL classification:

    • I1 - Health, Education, and Welfare - - Health
    • D2 - Microeconomics - - Production and Organizations

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