A DEA-inspired model to evaluate the efficiency of education in OECD countries

  1. Ignacio Contreras Rubio 1
  2. Carlota Dominguez-Gil 1
  1. 1 Universidad Pablo de Olavide
    info

    Universidad Pablo de Olavide

    Sevilla, España

    ROR https://ror.org/02z749649

Revista:
Revista de métodos cuantitativos para la economía y la empresa

ISSN: 1886-516X

Año de publicación: 2021

Volumen: 31

Páginas: 329-346

Tipo: Artículo

DOI: 10.46661/REVMETODOSCUANTECONEMPRESA.4318 DIALNET GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Revista de métodos cuantitativos para la economía y la empresa

Resumen

En el presente trabajo se presenta un modelo para el estudio de la eficiencia de los sistemas educativos de los países de la OCDE. A partir de la información publicada en el informe PISA 2015, se utiliza la metodología del Análisis Envolvente de Datos (DEA) para analizar la eficiencia en el uso de los recursos destinados a la educación en los países OCDE. Siguiendo la línea de anteriores estudios, se consideran los principales recursos destinados a la educación, esto es, recursos materiales, recursos humanos y tiempo dedicado a la enseñanza. De manera alternativa a los estudios anteriores, no se consideran las puntuaciones medias de los exámenes como las salidas del sistema. En nuestro estudio, la cuantificación de los resultados se realiza a través de los porcentajes de estudiantes que alcanzan cada nivel de desempeño en las pruebas normalizadas realizadas en PISA. Se desarrolla un nuevo modelo de evaluación basado en el modelo aditivo dentro de la metodología DEA, en el que tanto la formulación como los objetivos se adaptan a las características de las variables propuestas. Considerando que el valor agregado de las salidas está fijado y que los pesos que deben asignarse a cada output deben estar ordenados, el modelo evalúa los posibles movimientos de outputs desde las categorías menos valoradas a las más valoradas.

Información de financiación

This work has been partially funded by the Ministry of Science, Research and Universities, project PGC2018-095786-B-I00.

Financiadores

    • PGC2018-095786-B-I00

Referencias bibliográficas

  • Agasisti, T. (2011). Performances and spending efficiency in higher education: A European comparison through non-parametric approaches. Education Economics, 19(2), 199-224.
  • Agasisti, T. (2014). The efficiency of public spending on education: An empirical comparison of EU countries. European Journal of Education, 49(4), 543-557.
  • Afonso, A., & St. Aubyn, M. (2006a) Non-parametric approaches to education and health efficiency in OECD countries. Journal of Applied Economics, 8(2), 227-246.
  • Afonso, A., & St. Aubyn, M. (2006b). Cross-country efficiency in secondary education provision: a semi-parametric analysis with non-discretionary inputs. Economic Modelling, 23(3), 476-491.
  • Aristovnik, A. (2011). An analysis of the efficiency of education spending in central and eastern Europe. EconPapers. Retrieved from http://EconPapers.repec.org/RePEc:isv:mklp11:277-286.
  • Banker, R.D., Charnes, A., & Cooper,W.W. (1984). Some models for estimating technical and scale inefficiency in data envelopment analysis. Management Science, 30, 1078-1092.
  • Bardhan, I., Bowlin, W.F., Cooper, W.W., & Sueyoshi, T. (1996). Models for efficiency dominance in data envelopment analysis. Part I: Additive models and MED measures. Journal of the Operational Research Society of Japan, 39, 322-332.
  • Bessent, A.M., & Bessent, E.W. (1980). Determining the comparative efficiency of schools trough data envelopment analysis. Educational Administration Quarterly, 16(2), 57-75.
  • Bessent, A.M., Bessent, E.W., Kennington, J., & Reagan, B. (1982). An application of mathematical programming to asses productivity in the Houston independent school district. Management Science, 28, 1355-1367.
  • Cazals, C., Florens, J.P., & Simar, L. (2002). Nonparametric frontier estimation: A robust approach. Journal of Econometrics, 106(1), 1-25.
  • Charnes, A., Cooper, W.W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operations Research, 2, 429-444.
  • Charnes, A., Cooper, W.W., & Rhodes, E. (1981). Evaluating program and managerial efficiency: an application of Data Envelopment Analysis to Program Follow Through. Management Science, 27, 668-697.
  • Charnes, A., Cooper, W.W., Golany, B., & Seiford, L. (1985). Foundations of Data Envelopment Analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics, 30(1), 91-107.
  • Clemens, B. (2002). How efficient is education spending in Europe?. European Review of Economics and Finance, 1, 3-26.
  • Cook, W.D., Kress, M., & Seiford, L.M. (1993). On the use of ordinal data in Data Envelopment Analysis. Journal of the Operational Research Society, 44 (2), 133-140.
  • Cook, W.D., Kress, M., & Seiford, L.M. (1996). Data Envelopment Analysis in the presence of both quantitative and qualitative factors. Journal of the Operational Research Society, 47, 945-953.
  • Cooper, W.W., Seiford, L.M., & Tone, K. (2000). Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software. New York: Springer.
  • Cordero-Ferrera J.M., Crespo-Cebada, E., Pedraja-Chaparro, F., & Santin-Gonzalez, D. (2011). Exploring educational efficiency divergences across Spanish regions in PISA 2006. Revista de Economia Aplicada, 19(57), 117-145.
  • Färe, R., Grosskopf, S., Lovell, C.A.K., & Pasurka, C. (1989). Multilateral productivity comparison when outputs are undesirable: A non-parametric approach. The Review of Economic and Statistics, 71, 90-98.
  • Farrell, M.J. (1957). The measurement of the efficiency. Journal of the Royal Statistical Society Series A, 120(3), 253-290.
  • Gimenez, V., Prior, D., & Theme, C. (2007). Technical efficiency, managerial efficiency and objective setting in the educational system: An international comparison. Journal of the Operational Research Society, 58, 996-1007.
  • Gouveia, M.C., Dias, L.C., & Antunes, C.H. (2008). Additive DEA based on MCDA with imprecise information. Journal of the Operational Research Society, 59(1), 54-63.
  • Hanushek, E. (1979). Conceptual and empirical issues in the estimation of educational production functions. Journal of Human Resources, 14(3), 351-288.
  • Johnes, J. (2006). Data Envelopment Analysis and its application to to the measurement of efficiency in higher education. Economics of Educations Review, 25(3), 273-288.
  • Levin, H. (1974). Measuring the efficiency in educational production. Public Finance Quarterly, 2, 3-24.
  • Lovell, C.A.K.. & Pastor, J.T. (1995). Units invariant and translation invariant DEA models. Operations Research Letters, 18, 147-151.
  • Lozano, S., & Villa, G. (2006). Data Envelopment Analysis of integer-values of inputs and outputs. Computers and Operational Research, 33, 3004-3014.
  • Mancebón M.J., & Bandrés, E. (1999). Efficiency evaluation in secondary schools: The key role of model specification and of ex post analysis of results. Education Economics, 7(2), 131-152.
  • Mancebón, M.J., Calero, J., Choi, A. & Ximénez-De-Embún, D.P. (2012). The efficiency of public and publicly subsidized high schools in Spain: Evidence from PISA-2006. Journal of the Operational Research Society, 63(11), 1516-1533.
  • OECD (2012). PISA 2009 Technical Report. PISA, OECD Publishing. DOI: 10.1787/9789264167872-en.
  • OECD (2013). PISA 2012 Results: What Makes Schools Successful? Resources, Policies and Practices (Volume IV). PISA, OECD Publishing. DOI: 10.1787/9789264201156-en.
  • Portela, M.C.A.S., & Thanassoulis, E. (2001). Decomposing school and school type efficiency. European Journal of Operational Research, 132(2), 114-130.
  • Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Copenhagen, Denmark: Danmarks Paedogogiske Institut.
  • Santin, D., & Sicilia, G. (2015). Measuring the efficiency of public schools in Uruguay: main drivers and policy implications. Latin America Economic Review, 24(5), 1-28.
  • Scheel, H. (2001). Undesirable outputs in efficiency evaluation. European Journal of Operational Research, 132, 400-410.
  • Sutherland, D., Price, R., & Gonand, F. (2009). Improving public spending efficiency in primary and secondary education. OECD Journal of Economic Studies, 1, 1-30.
  • Thrall RM. (1996). Duality, classification and slacks in DEA. Annals of Operations Research, 66, 109-138.
  • Tone, K. (2001). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130 (3), 498-509.
  • Wright, B.D., & Masters, G.N. (1982). Rating scale analysis. Chicago: MESA Press.
  • Worthington, A.C. (2001). An empirical survey of frontier efficiency measurement techniques education. Education Economics, 9(3), 245-268.
  • Wu, M., & Adams, R. (2007). Applying the Rasch model to psycho-social measurement: A practical approach. Melbourne: Educational Measurement Solutions.