Efficiency in the municipal public education provision: an analysis in three stages of Brazilian municipalities
DOI:
https://doi.org/10.1590/S0101-41612013000200003Keywords:
efficiency, municipalities, education, finite mixture modelAbstract
The article analyses what determines efficiency concerning with educational managementin Brazilian municipalities, as a result of decentralization process which happenedin 90s. The pieces of information were extracted from Censo Escolar, Prova Brasil Finbraand STN dataset for the 2005-year. We employ a methodology with three stages of whichthe first stage consists of using the SBM (slacks based measure) models in the efficiencyestimation for the use of the discretionary inputs. In addition to this, non-discretionaryinputs were controlled of which the result is a new efficiency index. Finally, we usethe finite mixture models to analyse the heterogeneity among the municipalities. Theresults showed that there is no uniformity in the demographic and political effects onthe efficiency of the quality of education on offer among the diversity of the Brazilianmunicipalities groups. If there is more democracy and funds such as Fundef, in general,it will increase the efficiency of municipal school administration.
Downloads
References
AITKIN, M. & RUBIN, D. B.: Estimation and hypothesis testing in finite mixture models. Journal
of the Royal Statistical Society Series B (Statistical Methodology). v. 47, n. 1. pp. 67-75. 1985.
ALBERNAZ, A., FERREIRA, F. & FRANCO, C. (2002): Qualidade e eqüidade na educação fundamental brasileira. Pesquisa e Planejamento Econômico, v. 32, n.3, dez. 2002.
ALI, A. I. & SEIFORD, L. M.: Translation invariance in data envelopment analysis. Operations Research Letters, 9, pp. 403-405. 1990.
BANKER, R. D., CHARNES, A. & COOPER, W. W.: Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science. v. 30, n.9 pp.1370-1382. 1984.
BANKER, R.D. & MOREY, R.: Efficiency analysis for exogenously fixed inputs and outputs. Operations Research. v. 34, pp. 513-521. 1986.
BARDHAN, P. & MOOKHERJEE, D. Decentralizing antipoverty program delivery in developing
countries. Journal of public economics. n.89.v.4.p.675-704. 2005.
BOURDIEU, P. Cultural Reproduction and Social Reproduction. In: Power and Ideology in Education,
edited by Jerome Karabel and A. H. Halsey, New York: Oxford University Press, 1977.
BOZDOGAN, H.: Model selection and Akaike’s information criterion (AIC): The general theory and its analytical extensions. Psychometrika n. 52, n.3. sept. pp. 345-370. 1987.
CHARNES, A; COOPER, W.W.; RHODES, E.: Measuring the efficiency of decision making units.
European Journal of Operational Research, v. 2, n. 6, p. 429-444. 1978.
CHEN. H., CHEN, J. & KALBFLEISCH. J. D.: Testing for a finite mixture model with two components. Journal of the Royal Statistical Society. B (Statistical Methodology). v.66, n.1 pp. 95-115. 2004.
COOPER, W.W., SEIFORD, L.M. & TONE, K.: Data Envelopment Analysis: A Comprehensive Text
with Models, Applications, References and DEA-Solver Software, Kluwer Academic Publishers.
Boston. 2000.
DELGADO, V. M. S. & MACHADO, A. F.: Eficiência das Escolas Públicas Estaduais de Minas Gerais. Pesquisa e Planejamento Econômico. v. 37, pp. 427-464. 2007.
FARIA, A. F.; JANUZZI, P. M.: Eficiência dos gastos municipais em saúde e educação: uma investigação através da análise envoltória no Estado do Rio de Janeiro. Rio de Janeiro: IPEA. (Prêmio: IPEA-CAIXA 2006; Concurso de Monografias. Tema 1: Eficiência e Efetividade do Estado no Brasil). 2006.
FARREN, D. The technical efficiency of schools in Chile. Applied Economics. n.34. pp.1533-1542. 2002.
FELLER, W.: On a general class of contagious distributions. Annals of Mathematical Statistics. v. 14, pp. 389-400. 1943.
FERNANDEZ, C.; KOOP, G. & STEEL, M. A Bayesian analysis of multiple output production frontiers. Journal of Econometrics, v. 98, pp. 47-79. 2000.
FERREIRA, F. Education for the masses? The interaction between wealth, educational and political inequalities. Economics of Transition, v. 9, n. 2. pp. 533-552. 2001.
FERREIRA, C.M. de C.& GOMES, A. P. Introdução à análise envoltória de dados: teoria, modelos e aplicações. Editora UFV. Viçosa, 2009.
Galiani, S.; Gertler , P. & Schargrodsky, E.: School decentralization: helping the good get better, but leaving the poor behind. Journal of Public Economics, Elsevier, v. 92, pp. 2106-2120, 2008.
GASPARINI, C. E. & RAMOS, F. S.: Efetividade e Eficiência no Ensino Médio Brasileiro. Economia
Aplicada, v.7 n. 2. pp.389-411. 2003.
HAGGARD, S. The reform of the state in Latin America. World Bank’s Annual Conference on Development in Latin America and the Caribbean. Rio de Janeiro, 12-13 June 1995.
HANUSHEK, E. A.; GOMES-NETO, J. B.; HARBISON, R. W.: Efficiency-enhancing investments in
school quality. In: BIRDSALL, N. & SABOT, R. H. (Eds.). Opportunity forgone: education in
Brazil. Washington, DC. Inter-American development Bank, pp.385-424. 1996.
HANUSHEK, E. The Economics of Schooling: Production and Efficiency in Public Schools, Journal of Economic Literature. v. 24, n.3, pp.1141-1177. 1986.
JOHNSON, R. & WICHERN, D.: Applied multivariate statistical analysis. 4ed. New Jersey. Prentice Hall. 1998.
KERIBIN, C. (2000). Consistent estimation of the order of mixture models. Sankhya. The Indian journal of statistics A, v. 62, pp.49-66. 2000.
LEE, J.; BARRO, R. J. Schooling quality in a cross section of countries. Cambridge: NBER, 1997
(Working paper, 6198). Disponível < http://www.nber.org/papers/w6198.pdf?new_window=1>
acesso: 08 ago de 2009.
LEROUX, B. G.: Consistent estimation of a mixing distribution. The Annals of Statistics v. 20, pp.
-1360. 1992.
OATES, W. E.: Fiscal federalism. Harcourt Brace Javanovich, New York. 1972.
RAY, S. C. Resource use efficiency in public schools. A study of Connecticut data. Management Science. n. 37, pp. 1620-1628. 1991.
RAY, S. C. Data envelopment analysis. Theory and techniques for economics and operations research. Cambridge: Cambridge university press. 376p. 2004.
RUGGIERO, J. On the measurement of technical efficiency in the public sector. European Journal of Operational Research. n.90. pp.553-565. 1996.
RUGGIERO, J.: Non-discretionary inputs in data envelopment analysis. European Journal of Operational Research v. 111, pp. 461-469. 1998.
RUGGIERO, J.: Measuring technical efficiency. European Journal of Operational Research. v. 121, pp. 138-150. 2000.
SAINT-PAUL, G. & VERDIER, T.: Education, democracy and growth. Journal of Development Economics. v. 42, n.2 pp. 399-407. 1993.
SEAVER, B. & TRIANTIS, K. The impact of outliers and leverage points for technical efficiency measurement using high breakdown procedures. Management Science. v. 41 n.6, pp.937-956. 1995.
SIMAR, L. Detecting Outliers in Frontier Models: A Simple Approach. Journal of Productivity Analysis, 20, pp. 391-424, 2003.
SOUSA, M. C. S. & RAMOS, F. S. Eficiência técnica e retornos de escala na produção de serviços
públicos municipais: o caso do nordeste e do sudeste brasileiros. Revista Brasileira de Economia. v.4, n.53, p.433-461. out-dez. 1999.
SOUSA, M.C. S., CRIBARI-NETO, F. & STOSIC, B.D. Explaining DEA technical efficiency scores in
an outlier corrected environment: The case of public services in Brazilian municipalities. Brazilian Review of Econometrics, v. 25 pp. 289-315. 2005
SOUZA, A. P. F.; LEME, M. C. & PAREDES, R.: A municipalização do ensino fundamental e seu impacto sobre a proficiência no Brasil. In: Veloso, F.; PÊSSOA, S.; HENRIQUES, R. & GIAMBIAGI,
F. (Org.). Educação Básica no Brasil. Rio de Janeiro: Campus/Elsevier, 2009.
TANZI, V. Fiscal federalism and decentralization: a review of some efficiency and macroeconomic aspects. Annual Bank Conference on Development Economics. Washington, May 1-2, 1995.
TONE, K.: A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research. v. 130, pp. 498-509. 2001.
ZOGHBI, A. C. P., ROCHA, F. F., MATOS, E. H. C. & ARVATE, P. R.: Mensurando o desempenho e
a eficiência dos gastos estaduais em educação fundamental e média. Estudos Econômicos. v.39. n.4 out-dez. pp.785-809. 2009.
Downloads
Published
Issue
Section
License
Copyright (c) 2013 lávio de Oliveira Gonçalves, Marco Túlio Aniceto França
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
By submitting an article, the author authorizes its publication and attests that it has not been submitted to any other journal. The original article is considered final. Articles selected for publication are proofread for grammatical and orthographic errors. The journal does not pay rights for published articles. The Institute of Economic Research from the School of Economics, Business and Accounting of the University of São Paulo (Instituto de Pesquisas Econômicas da Faculdade de Economia, Administração e Contabilidade da Universidade de São Paulo) owns the journal's copyright.
Atualizado em 14/08/2025