Exploring educational efficiency divergences across Spanish regions in PISA 2006

  1. Cordero Ferrera, José Manuel
  2. Crespo Cebada, Eva
  3. Pedraja Chaparro, Francisco Manuel
  4. Santín González, Daniel
Revista:
Revista de economía aplicada

ISSN: 1133-455X

Año de publicación: 2011

Volumen: 19

Número: 57

Páginas: 117-146

Tipo: Artículo

Otras publicaciones en: Revista de economía aplicada

Resumen

La reciente publicación del Informe PISA 2006 pone de manifiesto diferencias en el rendimiento educativo de los alumnos procedentes de las diferentes regiones españolas participantes en dicho proyecto. El objetivo de este artículo consiste en identificar las posibles causas de estas divergencias una vez que controlemos el efecto de los inputs educativos y de las variables ambientales. Para ello se estima una función distancia estocástica, que nos permite incorporar un proceso educativo multi-input y multi-output sujeto a comportamientos ineficientes a nivel del alumno. Los resultados sugieren que La Rioja y Castilla-León son las regiones más eficientes, mientras que, por el contrario, Andalucía, Cataluña y el grupo formado por regiones sin muestra representativa en PISA son las menos eficientes. No obstante, la mayor parte de la divergencia en eficiencia se atribuye a los alumnos con determinadas características: inmigrantes y repetidores, fundamentalmente. Por otro lado, el tamaño de la clase o la titularidad de la escuela no parecen determinar el resultado académico de los alumnos.

Referencias bibliográficas

  • Alfonso, A. and Aubyn, M.St. (2006): "Cross-country Efficiency of Secondary Education Provision: a Semi-parametric Analysis with Non-discretionary Inputs", Economic Modelling, vol. 23, n. 3, pp. 476-491.
  • Aigner, D.J., Lovell, C.A.K. and Schmidt, P (1977): "Formulation and estimation of stochastic production function models", Journal of Econometrics, n. 6, pp. 21-37.
  • Banker, R.D., Janakiraman, S. and Natarajan, R. (2004): "Analysis of trends in technical and allocative efficiency: An application to Texas public school districts", European Journal of Operational Research, n. 154, pp. 477-491.
  • Barnett, R., Glass, J., Snowdon, R. and Stringer, K. (2002): "Size, performance and effectiveness: cost-constrained measures of best-practice performance and secondary school size", Education Economics, vol. 10, n. 3, pp. 291-311.
  • Battese, G.E. and Coelli, T.J. (1988): "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data", Journal of Econometrics, n. 38, pp. 387-399.
  • Battese, G.E. and Coelli, T.J. (1995): "A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data", Empirical Economics, n. 20, pp. 325-332.
  • Alfonso, A. and St. Aubyn, M. (2006): "Cross-country Efficiency of Secondary Education Provision: a Semi-parametric Analysis with Non-discretionary Inputs", Economic Modelling, vol. 23, n. 3, pp. 476-491.
  • Aigner, D.J., Lovell, C.A.K. and Schmidt, P (1977): "Formulation and estimation of stochastic production function models", Journal of Econometrics, n. 6, pp. 21-37.
  • Banker, R.D., Janakiraman, S. and Natarajan, R. (2004): "Analysis of trends in technical and allocative efficiency: An application to Texas public school districts", European Journal of Operational Research, n. 154, pp. 477-491.
  • Barnett, R., Glass, J., Snowdon, R. and Stringer, K. (2002): "Size, performance and effectiveness: cost-constrained measures of best-practice performance and secondary school size", Education Economics, vol. 10, n. 3, pp. 291-311.
  • Battese, G.E. and Coelli, T.J. (1988): "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data", Journal of Econometrics, n. 38, pp. 387-399.
  • Battese, G.E. and Coelli, T.J. (1995): "A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data", Empirical Economics, n. 20, pp. 325-332.
  • Bessent, A.M. and Bessent, E.W. (1980): "Determining the Comparative Efficiency of Schools Through Data Envelopment Analysis", Educational Administration Quarterly, vol. 16, n. 2, pp. 57-75.
  • Bessent, A., Bessent, W., Kennington, J. and Reagan, B. (1982): "An application of mathematical programming to assess productivity in the Houston independent school district", Management Science, n. 28, pp. 1355-1367.
  • Betts, J.R., and Shkolnik, J.L. (2000): "The effects of ability grouping on student achievement and resource allocation in secondary schools", Economics of Education Review,n. 19, pp. 1-15.
  • Bradley, S. and Taylor, J. (1998): "The effect of school size on exam performance in secondary schools", Oxford Bulleting of Economics and Statistics, n. 60, pp. 291-324.
  • Calero, J. and Escardibul, O. (2007): "Evaluación de servicios educativos: el rendimiento en los centros públicos y privados medido en PISA-2003", Hacienda Pública Española - Revista de Economía Pública, vol. 183, n. 4, pp. 33-66.
  • Callan, S.J. and Santerre, R.E. (1990): "The production characteristics of local public education:A multiple product and input analysis", Southern Economics Journal, vol. 57,n. 2, pp. 468-480.
  • Card, D. and Krueger, A. (1992): "Does School Quality Matter? Returns to education andthe Characteristics of Public Schools in the United States", Journal of Political Economy, n. 100, pp. 1-40.
  • Charnes, A., Cooper, W.W. and Rhodes, E. (1981): "Evaluating program and managerial efficiency: an application of data envelopment analysis to Program Follow Through", Management Science, n. 27, pp. 668-697.
  • Christensen, L.R., Jorgenson, D.W. and Lau, L.J. (1971): "Conjugate Duality and the Transcendental Logarithmic Production Function", Econometrica, n. 39, pp. 255-256.
  • Chubb, J.E. and Moe, T.M. (1990): Politics, markets and America ́s schools, Washington, DC: The Brookings Institution.
  • Coelli, T. and Perelman, S. (1999): "A comparison of parametric and non-parametric distance functions, with application to European railways", European Journal of Operational Research, n. 117, pp. 326-339.
  • Coelli, T. and Perelman, S. (2000): "Technical efficiency of European railways, a distance function approach", Applied Economics, n. 32, pp. 1967-1976.
  • Coelli, T. and Perelman, S. (2001): "La medición de la eficiencia técnica en contextos ultiproducto", in Álvarez, A. (coord.): La medición de la eficiencia y la productividad, Ediciones Pirámide, Madrid.
  • Cohn, E. and Geske, T.G. (1990): "Production and cost functions in education", in Cohn, E. and Geske (eds.): The Economics of Education, 3rd Edition, Pergamon Press, Oxford.
  • Cordero, J.M., Pedraja, F. and Salinas, J. (2008): "Measuring Efficiency in Education: an Analysis of Different Approaches for Incorporating Non-Discretionary Inputs", Applied Economics, vol. 40, n. 10, pp. 1323-1339.
  • Corman, H. (2003): "The effects of state policies, individual characteristics, family characteristics and neighborhood characteristics on grade repetition in the United States", Economics of Education Review, n. 22, pp. 409-420.
  • Cortes, K.E. (2006): "The effects of age at arrival and enclave schools on the academic performance of immigrant children", Economics of Education Review, n. 25, pp. 121-132.
  • Deller, S.C. and Rudnicki, E. (1993): "Production Efficiency in Elementary Education. The Case of Maine Public School", Economics of Education Review, vol. 12, n. 1, pp. 45-57.
  • Eide, E.R. and Showalter, M.H. (2001): "The effect of grade retention on educational and labor market outcomes", Economics of Education Review, vol. 20, n. 6, pp. 563-576.
  • Entorf, H. and Minoiu, N. (2005): "What a Difference Immigration Policy Makes: A Comparison of PISA Scores in Europe and Traditional Countries of Inmmigration", German Economic Review, vol. 6, n. 3, pp. 355-376.
  • Färe, R. and Primont, D. (1995): "Multi-output production and duality: theory and applications", Kluwer Academic Publishers, Boston.
  • Figlio, D. (1999): "Functional form and the estimated effects of school resources", Economics of Education Review, n. 18, pp. 241-52.
  • Figlio, D.N. and Stone, J.A. (1997): "School choice and student performance: Are private schools really better?", Discussion Paper 1141-97, Institute for Research on Poverty, University of Wisconsin-Madison, Madison.
  • Fuentes, A. (2009): "Raising Education Outcomes in Spain", OECD Economics Department Working Papers, n. 666, OECD.
  • Gang, I.N. and Zimmermann, K.F. (2000): "Is child like Parent? Educational Attainment and Ethnic Origin", Journal of Human Resources, n. 35, pp. 550-569.
  • Ganzeboom, H., De Graaf, P., Treiman, J. and De Leeuw, J. (1992): "A standard internacional socio-economic index of ocupational status", Social Science Research, vol. 21, n. 1, pp. 1-56.
  • Goldhaber, D. (1996): "Public and Private High Schools: Is School Choice an Answer to the Productivity Problem?", Economics of Education Review, n. 15, pp. 93-109.
  • Grosskopf, S. Hayes, K. Taylor, and Weber, W. (1997): "Budget-constrained frontier measures of fiscal equality and efficiency in schooling", Review of Economics and Statistics, vol. 79, n. 1, pp. 116-124.
  • Gyimah-Brempong, K. and Gyapong, A. (1992): "Elasticities of factor substitution in the production of education", Economics of Education Review, n. 11, pp. 205-217.
  • Hanushek, E.A. (1986): "The economics of schooling", Journal of Economic Literature, vol. 24, n. 3, pp. 1141-1171.
  • Hanushek, E.A. (1997): "Assessing the effects of school resources on student performance, an update", Educational Evaluation and Policy Analysis, n. 19, pp. 141-164.
  • Hanushek, E.A. (2003): "The failure of input based schooling policies", The Economic Journal, n. 113, pp. 64-98.
  • Hanushek, E.A., Kain, J.F., Markman, J.M. and Rivkin, S.G. (2001): "Does peer ability affect student achievement?" Working Paper 8502, National Bureau of Economic Research.
  • Hanushek, E.A. and Luque, J. (2003): "Efficiency and equity in schools around the world", Economics of Education Review, n. 22, pp. 481-502.
  • Hanushek, E.A., Rivkin, S.G. and Taylor, L.L. (1996): "Aggregation and the estimated effects of school resources", The Review of Economics and Statistics, vol. 78, num 4, pp. 611-627.
  • Hedges, L.V., Laine, R.D. and Greenwald, R. (1994): "Does Money Matter? A Metaanalysis of Studies of the Effects of Differential School Inputs on Student Outcomes", Educational Researcher, vol. 23, n. 3, pp. 5-14.
  • Holmes, T.C. (1989): "Grade level retention effects: a meta-analysis of research studies", in Shepard, L.A. and Smith, M.L.: Flunking grades: research and policies on retention, Philadelphia PA: The Falmer Press, pp. 16-33.
  • Hoxby, C.M. (2000): "The effects of class size on student achievement: new evidence from population variation", Quaterly Journal of Economics, vol. 115, pp. 1239-1285.
  • Jimenez, E. (1986): "The structure of educational costs, multiproduct cost functions for primary and secondary schools in Latin America", Economics of Education Review, vol. 5, n. 1, pp. 25-39.
  • Jimerson, S.R., Egeland, B. and Teo, A. (1999): "Achievement across time: A longitudinal study of deflections, considering early school and family factors", Journal of Educational Psychology, n. 91, pp. 116-126.
  • Krueger, A.B. (2003): "Economics considerations and class size", Economic Journal, n. 113, pp. 34-63.
  • Levin, H. (1974): "Measuring the Efficiency in Educational Production", Public Finance Quarterly, n. 2, pp. 3-24.
  • Lovell, C.A.K., Richardson, S., Travers, P. and Wood, LL. (1994): "Resources and functionings, a new view of inequality in Australia", in Eichhorn W (ed.): "Models and Measurement of Welfare and Inequality", Springer-Verlag, Berlin, pp. 787-807.
  • Mccarty, T. and Yaisawarng, S. (1993): "Technical Efficiency in New Jersey School Districts", in Fried, H., Lovell, C.A.K. and Schmidt, S, (ed,): "The Measurement of Productive Efficiency: Techniques and Applications", Oxford University Press, New York.
  • McEwan, P.J. (2001): "The Effectiveness of Public, Catholic, and Non-Religious Private Schools in Chile ́s Voucher System", Education Economics, vol. 9, n. 2, pp. 103-128.
  • Mancebón, M.J. and Muñiz, M. (2007): "Private versus Public High Schools in Spain: Disentangling managerial and Programme Efficiencies", Journal of Operational Research Society, vol. 59, n. 7, pp. 892-901.
  • MEC (2008): "Estadísticas de las enseñanzas no universitarias. Datos Avance. Curso 2007- 2008", Ministerio de Educación, Madrid.
  • Meeusen, W. and van den Broeck, J. (1977): "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error", International Economic Review, n. 18, pp. 435-444.
  • Mislevy, R.J., Beaton, A.E., Kaplan, B. and Sheehan, K.M. (1992): "Estimating population characteristics form sparse matrix samples of item responses", Journal of Educational Measurement, n. 29, pp. 133-161.
  • Muñiz, M. (2002): "Separating Managerial Inefficiency and External Conditions in Data", European Journal of Operational Research, vol. 143, n. 3, pp. 625-643.
  • Nechyba, T.J. (2000): "Mobility targeting and private-school vouchers", American Economic Review, vol. 90, n. 1, pp. 130-146.
  • OECD (2005): PISA 2003 Data Analysis Manual, SPSS users, Organisation for Economic Co-operation and Development, Paris.
  • OECD (2007): PISA 2006: Science competencies for tomorrow's world, OECD, Paris
  • OECD (2009): PISA 2006 Technical Report, OECD, Paris.
  • Perelman, S. and Santín, D. (2008): "Measuring educational efficiency at student level with parametric stochastic distance functions: an application to Spanish PISA results", Education Economics, forthcoming DOI: 10.1080/09645290802470475.
  • Pritchett, L. and Filmer, D. (1999): "What education production functions really show, a positive theory of education expenditures", Economics of Education Review, n. 18, pp. 223-239.
  • Rasch, G. (1960-1980): "Probabilistic models for some intelligence and attainment tests", Copenhagen, Danish Institute for Educational Research, Expanded edition (1980), The University of Chicago Press.
  • Sander, W. (1996): "Catholic grade schools and academic achievement", Journal of Hu - man Resources, n. 31, pp. 540-548.
  • Santín, D. (2006): "La medición de la eficiencia de las escuelas: una revisión crítica", Hacienda Pública Española /Revista de Economía Pública, vol. 177, n. 2, pp. 57-83.
  • Shephard, R.W. (1970): Theory of Cost and Production Functions, Princeton University Press, Princeton, NY.
  • Summers, A.A. and Wolfe, B.L. (1977): "Do schools make a difference?", American Economic Review, vol. 67, n. 4, pp. 639-652.
  • Vandenberghe, V. (1999): "Economics of education. The need to go beyond human capital theory and production-function analysis", Educational Studies, vol. 25, n. 2, pp. 129-143.
  • Vandenberghe, V. and Robin, S. (2004): "Evaluating the effectiveness of private education across countries: a comparison of methods", Labour Economics, n. 11, pp. 487-506.
  • Waldo, S. (2007): "On the use of student data in efficiency analysis. Technical efficiency in Swedish upper secondary school", Economics of Education Review, n. 26, pp. 173-185.
  • Wechsler, D. (2008): "Wechsler Adult Intelligence Scale, Fourth Edition: Technical and interpretive manual", San Antonio, TX, Pearson Assessment.
  • Witte, J. (1992): "Private schools and public school achievement: are there findings that should affect the educational choice debate?", Economics of Education Review, vol.11, n. 4, pp. 371-394.
  • Woessman, L. (2001): "Why students in some countries do better", Education Matters,vol. 1, n. 2, pp. 67-74.
  • Worthington, A.C. (2001): "An Empirical Survey of Frontier Efficiency Measurement techniques in Education", Education Economics, vol. 9, n. 3, pp. 245-268.
  • Wright, B.D. and Masters, G.N. (1982): Rating scale analysis, Chicago, MESA Press.
  • Wu, M. and Adams, R.J. (2002): "Plausible Values - Why They Are Important", International Objective Measurement Workshop, New Orleans.
  • Zinovyeva, N., Felgueroso, F. and Vázquez, P. (2008): "Immigration and Students ́ Achievement in Spain", Documento de Trabajo 2008-07, Fundación de Estudios de Economía Aplicada (FEDEA).