What lies behind efficiency? Management, municipal size, and inequalities in basic education in Paraná
DOI:
https://doi.org/10.55560/arete.2026.24.12.3%20Keywords:
educational efficiency, DEA, basic education, Paraná municipalities, public managementAbstract
This study assesses the evolution of technical efficiency in the use of resources allocated to basic education in municipalities of Paraná, Brazil, between 2010 and 2022. Data Envelopment Analysis (DEA) was applied using a variable returns to scale model with output orientation, considering financial resources, teachers and schools as inputs, and SAEB scores and enrollments as outputs. Municipalities were analyzed by population size, distinguishing those with up to 50,000 inhabitants from those above this threshold. The results indicate stability in average efficiency over the period, but relevant differences between groups. Larger municipalities showed higher scores and lower dispersion, whereas smaller ones presented greater internal heterogeneity, combining units close to the efficiency frontier with cases farther from it. The study concludes that educational efficiency should be interpreted in context, considering scale, institutional capacity and local management conditions. It should be noted that the study compares two time points (2010 and 2022) rather than a continuous longitudinal trend; management, institutional capacity, socioeconomic conditions and inequality are discussed as an interpretive framework for the results, rather than as determinants formally tested within the DEA model, which is proposed as an agenda for future research.
Downloads
References
Abrucio, F. L. (2005). Coordenação federativa no Brasil: A experiência do período FHC e os desafios do governo Lula. Revista de Sociologia e Política, (24), 41–67.
Alves, D. B., Garcias, M. de O., & Campos, S. A. C. (2022). (In)eficiência das escolas públicas do Paraná: Um estudo a partir da análise envoltória de dados. Revista Paranaense de Desenvolvimento, 43(142), 137–154. https://ipardes.emnuvens.com.br/revistaparanaense/article/view/1215
Arretche, M. (2000). Estado federativo e políticas sociais: Determinantes da descentralização. Revan; FAPESP.
Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30(9), 1078–1092. https://pubsonline.informs.org/doi/pdf/10.1287/mnsc.30.9.1078
Barbosa, A., Medeiros, F. A. S. de, & Simões, P. (2024). Governance and efficiency in Brazilian water utilities: An analysis based on revenue collection efficiency. Water, 16(17), Article 2483. https://doi.org/10.3390/w16172483
Begnini, S., & Tosta, H. T. (2017). A eficiência dos gastos públicos com a educação fundamental no Brasil: Uma aplicação da Análise Envoltória de Dados (DEA). E&G Economia e Gestão, 17(46), 43. https://periodicos.pucminas.br/economiaegestao/article/download/P.1984-6606.2017v17n46p43/12048/54892
Charnes, A., Cooper, W. W., & Rhodes, E. L. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444. https://doi.org/10.1016/0377-2217(78)90138-8
Cooper, W. W., Seiford, L. M., & Tone, K. (2007). Data envelopment analysis: A comprehensive text with models, applications, references and DEA-Solver software (2nd ed.). Springer. https://link.springer.com/book/10.1007/978-0-387-45283-8
Costa, I. das M., Dias, M. F., & Robaina, M. (2024). Evaluation of the efficiency of urban solid waste management in Brazil by data envelopment analysis and possible variables of influence. Waste Disposal & Sustainable Energy, 6, 283–295. https://doi.org/10.1007/s42768-023-00175-x
De Witte, K., & López-Torres, L. (2017). Efficiency in education: A review of literature and a way forward. Journal of the Operational Research Society, 68(4), 339–363. https://doi.org/10.1057/jors.2015.92
Faria, F. P., Jannuzzi, P. de M., & Silva, S. J. da. (2008). Eficiência dos gastos municipais em saúde e educação: Uma investigação através da análise envoltória no estado do Rio de Janeiro. Revista de Administração Pública, 42(1), 155–177. https://doi.org/10.1590/S0034-76122008000100008
Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society: Series A (General), 120(3), 253–290. https://doi.org/10.2307/2343100
Gresele, W. D., & Cunico, E. (2022). A eficiência dos gastos municipais em educação no estado do Paraná. Revista Economia e Políticas Públicas, 9(2), 64–91. https://www.periodicos.unimontes.br/index.php/economiaepoliticaspublicas/article/view/4934
Lopes, E. H., & Cunha, M. S. da. (2024). Análise de eficiência dos gastos municipais com saúde e educação do Setentrião Paranaense. Economia & Região, 12(2), 255–275. https://ojs.uel.br/revistas/uel/index.php/ecoreg/article/view/48416
Naim, M. N. H., Adnan, M. S. G., Dewan, A., & Zannat, K. E. (2022). Assessing the performance of public transport services in a developing country: A case study using data envelopment analysis. Growth and Change, 53(1), 377–409. https://onlinelibrary.wiley.com/doi/10.1111/grow.12588
Oliveira, V. R. de. (2017). Eficiência municipal em educação: Padrão espacial e determinantes políticos. Cadernos de Finanças Públicas, 17(2). https://doi.org/10.55532/1806-8944.2017.19
Pozza, D. B., Castro, G. H. L. de, & Porsse, A. A. (2022). Eficiência do gasto público com educação no estado do Paraná: Uma análise com modelos econométricos espaciais. Geosul, 37(82), 221–251. https://doi.org/10.5007/2177-5230.2022.e79718
Quispe Lino, C. N., Rojas Apaza, R., & Blanco Espezua, M. del P. (2025). Efficiency of public spending at the municipal level: Evidence for the Peruvian case 2017–2023. Frontiers in Political Science, 7. https://doi.org/10.3389/fpos.2025.1614884
Rodrigues, L. J., & Abbas, K. (2025). Quality and technical efficiency in hospital care: A study using the Donabedian Model and Data Envelopment Analysis. Advances in Scientific and Applied Accounting, 18(2), 61–78. https://doi.org/10.14392/asaa.2025180204
Rua, M. das G. (2009). Políticas públicas. Departamento de Ciências da Administração/UFSC; CAPES; UAB.
Savian, M. P. G., & Bezerra, F. M. (2013). Análise de eficiência dos gastos públicos com educação no ensino fundamental no estado do Paraná. Economia & Região, 1(1), 26–47. https://ojs.uel.br/revistas/uel/index.php/ecoreg/article/download/12963/12458/60499
Saviani, D. (2008). Política educacional brasileira: Limites e perspectivas. Revista de Educação PUC-Campinas, (24), 7–16.
Silva, M. R. da, & Valmorbida, S. M. I. (2021). Análise da eficiência na utilização dos recursos públicos nos anos iniciais do ensino fundamental dos municípios do Sudoeste do Paraná. Revista de Contabilidade da UFBA, 15(1). https://periodicos.ufba.br/index.php/rcontabilidade/article/view/42772
Souza, C. (2006). Políticas públicas: Uma revisão da literatura. Sociologias, 8(16), 20–45.
Thanassoulis, E. (2001). Introduction to the theory and application of data envelopment analysis: A foundation text with integrated software. Kluwer Academic Publishers. https://link.springer.com/book/10.1007/978-1-4615-1407-7
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Marta Chaves Vasconcelos de Oliveira, Christian Luiz Da Silva, Luciano Ricardo Menegazzo, Josiane Alves de Oliveira Nogueira

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
This journal provides free, immediate access to its content under the principle of making research freely available to the public, which fosters a greater exchange of global knowledge.
Authors who publish in Areté, Revista Digital del Doctorado en Educación, agree to the following terms:
- Authors retain copyright and grant the journal the right to be the first publication of the work, as well as licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of authorship of the work and initial publication in this journal.
- Authors may separately establish additional agreements for the non-exclusive distribution of the version of the work published in the journal (for example, placing it in an institutional repository or publishing it in a book), with an acknowledgement of its initial publication in this journal and not to be used for commercial purposes.
- The contents and images included in the articles are the responsibility of the author(s). Areté, Revista Digital del Doctorado en Educación, is not responsible for the information included in them.
- Authors agree with the license of use used by the journal, with the self-archiving conditions and with the open access policy.
- Authors are allowed to disseminate electronically (e.g., in institutional repositories or on their own website) the published version of their work, as it favors its earlier circulation and dissemination and thus a possible increase in its citation and reach among the academic community.
- In case of reuse of published works, the existence and specifications of the license of use must be mentioned, as well as the authorship and original source of publication.


