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Assessing school efficiency in Portugal using FDH and bootstrapping


  • Maria Alberta Oliveira
  • Carlos Santos


This study explores a new data set that contains information both on inputs and outputs for a sample of Portuguese secondary schools. An FDH reference technology is used to determine radial technical efficiency scores and slacks. Although it is known that there is no reason to assume convexity in the study of education efficiency frontiers, this is the first study ever to use FDH at the school level, effectively relaxing the convexity assumption. A two-stage approach is used, whereby the significant environmental variables that explain FDH efficiency scores and slacks are identified. For the purpose of statistical inference, the first application of the bootstrapping algorithms suggested by Simar and Wilson (2003) is conducted. The study concludes that the unemployment rate, access to health care services, adult education and living infrastructures are determinants of school efficiency. The differences between the coast and the interior of Portugal seem to be more relevant, as far as school efficiency is concerned, than whether or not the school belongs to one of the major coast metropolitan areas.

Suggested Citation

  • Maria Alberta Oliveira & Carlos Santos, 2005. "Assessing school efficiency in Portugal using FDH and bootstrapping," Applied Economics, Taylor & Francis Journals, vol. 37(8), pages 957-968.
  • Handle: RePEc:taf:applec:v:37:y:2005:i:8:p:957-968
    DOI: 10.1080/00036840500061095

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    References listed on IDEAS

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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. W. Alexander & Alfred Haug & Mohammad Jaforullah, 2010. "A two-stage double-bootstrap data envelopment analysis of efficiency differences of New Zealand secondary schools," Journal of Productivity Analysis, Springer, vol. 34(2), pages 99-110, October.
    3. Mbaye Diene & Bity Diene & T Azomahou, 2015. "Human capital productivity and uncertainty," Working Papers halshs-01144990, HAL.
    4. Monchuk, Daniel C. & Zhuo, Chen, 2008. "Explaining Production Inefficiency in China’s Agriculture using Data Envelope Analysis and Semi-Parametric Bootstrapping," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6456, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. José Manuel Cordero & Diego Prior & Rosa Simancas, 2016. "A comparison of public and private schools in Spain using robust nonparametric frontier methods," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(3), pages 659-680, September.
    6. T Azomahou & Bity Diene & Mbaye Diene, 2015. "Human capital productivity and uncertainty," Working Papers halshs-01144989, HAL.
    7. Monchuk, Daniel C. & Chen, Zhuo & Bonaparte, Yosef, 2010. "Explaining production inefficiency in China's agriculture using data envelopment analysis and semi-parametric bootstrapping," China Economic Review, Elsevier, vol. 21(2), pages 346-354, June.
    8. Thieme, Claudio & Prior, Diego & Tortosa-Ausina, Emili, 2013. "A multilevel decomposition of school performance using robust nonparametric frontier techniques," Economics of Education Review, Elsevier, vol. 32(C), pages 104-121.
    9. 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.
    10. Haelermans, Carla & De Witte, Kristof, 2012. "The role of innovations in secondary school performance – Evidence from a conditional efficiency model," European Journal of Operational Research, Elsevier, vol. 223(2), pages 541-549.
    11. Tommaso Agasisti & Giuseppe Munda, 2017. "Efficiency of investment in compulsory education: An Overview of Methodological Approaches," JRC Working Papers JRC106681, Joint Research Centre (Seville site).
    12. Claudio Thieme & Diego Prior & Víctor Giménez & Emili Tortosa-Ausina, 2011. "Desempeño de los centros educativos: ¿un problema de recursos o capacidades organizativas?," Hacienda Pública Española, IEF, vol. 199(4), pages 81-118, December.
    13. repec:spr:scient:v:89:y:2011:i:3:d:10.1007_s11192-011-0484-9 is not listed on IDEAS
    14. Giuseppe Di Giacomo & Aline Pennisi, 2015. "Assessing Primary and Lower Secondary School Efficiency Within Northern, Central and Southern Italy," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 1(2), pages 287-311, July.
    15. M. C. Portela & A. S. Camanho, 2007. "Performance Assessment of Portuguese Secondary Schools," Working Papers de Economia (Economics Working Papers) 07, Católica Porto Business School, Universidade Católica Portuguesa.
    16. Tommaso Agasisti & Ralph Hippe & Giuseppe Munda, 2017. "Efficiency of investment in compulsory education: empirical analyses in Europe," JRC Working Papers JRC106678, Joint Research Centre (Seville site).

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