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

Author

Listed:
  • 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'économique 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

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    Cited by:

    1. Shawna Grosskopf & Kathy Hayes & Lori Taylor & William L Weber, 2017. "Would weighted-student funding enhance intra-district equity in Texas? A simulation using DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 377-389, April.
    2. Rajiv Banker & Hsihui Chang & Ehsan Feroz, 2014. "Performance measurement in nonprofit governance: an empirical study of the Minnesota independent school districts," Annals of Operations Research, Springer, vol. 221(1), pages 47-71, October.
    3. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    4. Cecilio Mar-Molinero & Diego Prior & Maria-Manuela Segovia & Fabiola Portillo, 2014. "On centralized resource utilization and its reallocation by using DEA," Annals of Operations Research, Springer, vol. 221(1), pages 273-283, October.
    5. Agasisti, Tommaso & de Oliveira Ribeiro, Celma & Montemor, Daniel Sanches, 2022. "The efficiency of Brazilian elementary public schools," International Journal of Educational Development, Elsevier, vol. 93(C).
    6. 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.
    7. Falavigna, Greta & Ippoliti, Roberto & Ramello, Giovanni B., 2018. "DEA-based Malmquist productivity indexes for understanding courts reform," Socio-Economic Planning Sciences, Elsevier, vol. 62(C), pages 31-43.
    8. Magdalena Kapelko, 2019. "Measuring productivity change accounting for adjustment costs: evidence from the food industry in the European Union," Annals of Operations Research, Springer, vol. 278(1), pages 215-234, July.
    9. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    10. Per J. Agrell & Pontus Mattsson & Jonas Månsson, 2020. "Impacts on efficiency of merging the Swedish district courts," Annals of Operations Research, Springer, vol. 288(2), pages 653-679, May.
    11. Andrew Johnson & John Ruggiero, 2014. "Nonparametric measurement of productivity and efficiency in education," Annals of Operations Research, Springer, vol. 221(1), pages 197-210, October.
    12. 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.
    13. Chia-Yen Lee & Andrew Johnson, 2015. "Effective production: measuring of the sales effect using data envelopment analysis," Annals of Operations Research, Springer, vol. 235(1), pages 453-486, December.
    14. Venkatesh, Anand & Kushwaha, Shivam, 2018. "Short and long-run cost efficiency in Indian public bus companies using Data Envelopment Analysis," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 29-36.
    15. Lagravinese, Raffaele & Liberati, Paolo & Resce, Giuliano, 2020. "The impact of economic, social and cultural conditions on educational attainments," Journal of Policy Modeling, Elsevier, vol. 42(1), pages 112-132.
    16. 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.
    17. Amin Mostafaee & Sevan Sohraiee, 2019. "The role of hyperplanes for characterizing suspicious units in DEA," Annals of Operations Research, Springer, vol. 275(2), pages 531-549, April.
    18. 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.

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    More about this item

    Keywords

    Data envelopment analysis; Efficiency; Productivity; Québec school districts;
    All these keywords.

    JEL classification:

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

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