Cordero, José Manuel and Prior, Diego and Simancas Rodríguez, Rosa (2013): A comparison of public and private schools in Spain using robust nonparametric frontier methods.
Preview |
PDF
MPRA_paper_51375.pdf Download (335kB) | Preview |
Abstract
This paper uses an innovative approach to evaluate educational performance of Spanish students in PISA 2009. Our purpose is to decompose their overall inefficiency between different components with a special focus on studying the differences between public and state subsidized private schools. We use a technique inspired by the non-parametric Free Disposal Hull (FDH) and the application of robust order-m models, which allow us to mitigate the influence of outliers and the curse of dimensionality. Subsequently, we adopt a metafrontier framework to assess each student relative to the own group best practice frontier (students in the same school) and to different frontiers constructed from the best practices of different types of schools. The results show that state-subsidised private schools outperform public schools, although the differences between them are significantly reduced once we control for the type of students enrolled in both type of centres.
Item Type: | MPRA Paper |
---|---|
Original Title: | A comparison of public and private schools in Spain using robust nonparametric frontier methods |
Language: | English |
Keywords: | Education, Efficiency, Multilevel Modelling, Free Disposal Hull |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General H - Public Economics > H4 - Publicly Provided Goods > H41 - Public Goods I - Health, Education, and Welfare > I2 - Education and Research Institutions > I21 - Analysis of Education |
Item ID: | 51375 |
Depositing User: | Ms Rosa Simancas |
Date Deposited: | 12 Nov 2013 08:14 |
Last Modified: | 08 Oct 2019 04:39 |
References: | Altonji, J.G., Elder, T.E., Taber, C.R. (2005): “Selection on observed and unobserved variables: Assessing the effectiveness of catholic schools”, Journal of Political Economy, 113 (1), 151–184. Anand, P., Mizala, A. and Repetto, A. (2009): “Using school scholarships to estimate the effect of private education on the academic achievement of low-income students in Chile”, Economics of Education Review, 28, (3),pp. 370-381. Battese, G. and Rao, D. (2002): “Technology gap, efficiency, and a stochastic metafrontier function”, International Journal of Business, 1 (2): 87–93. Battese, G., Rao, D. and O’Donnell, C. (2004): “A metafrontier production function for estimation of technical efficiencies and technology gaps for firms operating under different technologies”, Journal of Productivity Analysis, 21 (1): 91–103. Bifulco, R. and Ladd, H.F. (2006): “The Impacts of Charter Schools on Student Achievement: Evidence from North Carolina”, Education Finance and Policy, 1( 1),pp. 50-90. Burgess, S. and Briggs, A. (2010): “School assignment, school choice and social mobility”. Economics of Education Review, 29, pp. 639–649. Calero, J. and Escardibul, J. O. (2007): “Evaluación de servicios educativos: el rendimiento en los centros públicos y privados medido en PISA-2003”, Hacienda Pública Española, nº 183 (4/2007), pp, 33-66. Cazals, C., Florens, J. and Simar, L. (2002): “Nonparametric frontier estimation: a robust approach”, Journal of Econometrics, 106: 1-25. Charnes, A.; Cooper, W.W. and Rhodes, E. (1978): “Measuring the Efficiency of Decision Making Units”, European Journal of Operational Research, vol. 2, nº 6, pp. 429-444. Charnes, A.; Cooper, W.W. y Rhodes, E. (1981), “Evaluating Program and Managerial Efficiency: An application of Data Envelopment Analysis to Program Follow Through”, Management Science, 27: 668-697. Cherchye, L., De Witte, K. Ooghe, E. and Nicaise, I. (2010): “Efficiency and equity in private and public education: A nonparametric comparison”, European Journal of Operational Research, 202, 563-573. Chubb, J.E. and Moe, T.M. (1990): Politics, markets and America’s schools, The Brookings Institution, Washington. Chudgar, A. and Quin, E. (2012): “Relationship between private schooling and achievement: Results from rural and urban India”, Economics of Education Review, 31 (4), pp. 376-390. Coleman J., Campbell E., Hobson C., McPartland J., Mood A., Weinfield F. and York R. (1966): Equality of Education Opportunity. Washington D.C., U.S. Government Printing Office. Coleman, J., Hoffer, T., and Kilgore, S. (1982): Secondary school achievement. Public, catholic and private schools compared. New York: Basic Books, Inc. Publishers. Cooper, W.W., Seiford, L. and Tone, K. (2007): Data Envelopment Analysis. A Comprehensive Text with Models, Applications, References and DEA-Solver Software. 2nd ed. Springer, New York. Crespo, E., Pedraja, F. y Santin, D. (2013): “Does school ownership matter? An unbiased efficiency comparison for regions of Spain", Journal of Productivity Analysis, forthcoming. Daraio, C. and Simar, L. (2007): Advanced robust and nonparametric methods in efficiency analysis. Methodologies and Applications, Springer, New York. Deprins, D., Simar, L. and Tulkens, H. (1984): “Measuring Labor Inefficiency in Post Offices”, en Marchand, P., Pestieau, P. and Tulkens, H. (eds.): Concepts and Measurements, Amsterdam, North Holland, 243-267. De Witte, K. and Kortelainen, M. (2013): “What explains performance of students in a heterogeneous environment? Conditional efficiency estimation with continuous and discrete environmental variables”, Applied Economics, 45(17), 2401–2412. De Witte, K., Thanassoulis, E., Simpson, G., Battisti, G. and Charlesworth-May, A. (2010): “Assessing pupil and school performance by non-parametric and parametric techniques”, Journal of the Operational Research Society, 61: 1224-1237. Dronkers, J. and Avram, S. (2010): “A cross-national analysis of the relations between school choice and effectiveness differences between private-dependent and public schools”, Educational Research and Evaluation, 16 (2), 1551-175. Dronkers, J. and Robert, P. (2008): “Differences in scholastic achievement of public, private government-dependent and private independent schools. A cross-national analysis”, Education Policy, 22(4), 541–577. Friedman M. and Friedman, R. (1981): Free to choose. Avon, New YorkGanzeboom, H., De Graaf, P., Treiman, J. and De Leeuw, J. (1992): “A standard internacional socio-economic index of occupational status”, Social Science Research, 21 (1), pp, 1-56. Goldhaber, D.D. (1996): “Public and private secondary schools. Is school choice an answer to the productivity problem?”, Economics of Education Review, 15 (2), 93-109. Goldhaber, D.D. and Brewer, D.J. (1997): “Why don’t schools and teachers seem to matter? Assessing the impact of unobservables on educational productivity”, Journal of Human Resources, 32, 505-523. Hanushek, E. A. (2003): “The failure of input based schooling policies,” The Economic Journal, 113, 64-98. 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, 78 (4): 611-627. Hoxby, C.M. (2003): The economics of school choice, University of Chicago Press, Chicago. Hsieh, C. T. and Urquiola, M. (2006): “The effects of generalized school choice on achievement and stratification: Evidence from Chile's voucher program”, Journal of Public Economics, 90, (8–9), pp. 1477-1503. Jimenez, E., Lockheed, M.E. and Paqueo, V. (1991): “The relative efficiency of private and public schools in developing countries”, World Bank Research Observer, 6, 205–218. Kim, Y.J. (2011): “Catholic schools or school quality? The effects of Catholic schools on labor market outcomes”, Economics of Education Review, 30 (3), pp. 546-558. Kneip, A., Park, B.U. and Simar, L. (1998): “A note on the convergence of nonparametric DEA estimators for production efficiency scores”, Econometric Theory, 14 (6), 783-793. Lavy, V., Silva, O. and Weinhardt, F. (2012): “The good, the bad and the average: evidence on ability peer effects in schools”, Journal of Labor Economics, 30 (2), 367-414. Lefgren, L. (2004): “Educational peer effects and the Chicago public schools”, Journal of Urban Economics, 56, 169-191. López-Torres, L. and Prior, D. (2013): “Do parents perceive the technical quality of public schools? an activity analysis approach”, Regional and Sectoral Economic Studies, forthcoming. Mancebón, M.J., Calero, J., Choi, A. y Ximénez-de-Embún, D. (2012): “The efficiency of public and publicly subsidized high schools in Spain: Evidence from PISA-2006”, Journal of the Operational Research Society, 63, 1516–1533. Mancebón, M.J. and Muñiz, M. (2008): “Private versus public high schools in Spain: disentangling managerial and programme efficiencies”, Journal of Operational Research Society, 59, 892–901. Mayston, D.J. (2003): “Measuring and managing educational performance”, Journal of Operational Research Society, 54, 679-691. McEwan, P.J. (2001): “The Effectiveness of Public, Catholic, and Non-Religious Private Schools in Chile’s Voucher System”, Education Economics, 9 (2), 103-128. McEwan, P. J. (2003): “Peer effects on student achievement: Evidence from Chile”, Economics of Education Review, 22(2), 131–141. McEwan, P.J. and Carnoy, M. (2000): “ The Effectiveness and Efficiency of Private Schools in Chile's Voucher System”, Educational Evaluation and Policy Analysis, 22 (3), 213-239. 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 29, pp,133-161. Newhouse, D. and Beegle, K. (2006): “The effect of school type on academic achievement, Journal of Human Resources”, 41(3), 529–557. O’Donnell, C., Rao, D. and Battese, G. (2008): “Metafrontier frameworks for the study of firm-level efficiencies and technology ratios”, Empirical Economics, 37 (2): 231–255. Oliveira, M.A. and Santos, C. (2005): “Assessing school efficiency in Portugal using FDH and bootstrapping”, Applied Economics, 37 (8): 957-968. Park, B., Simar, L. and Weiner, C. (2000): “The FDH estimator for productivity efficiency scores”, Economic Theory, 16(6): 855–877. Patrinos, H. A. (1995): “Socioeconomic background, schooling, experience, ability and monetary rewards in Greece”, Economics of Education Review, 14(1): 85–91. Perelman, S. and Santín, D. (2011): “Measuring educational efficiency at student level with parametric stochastic distance functions: an application to Spanish PISA results”, Education Economics, 19 (1): 29-49. 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. Rouse, C. and Barrow, L. (2009): “School vouchers and Student Achievement: Recent Evidence, Remaining Questions”, Annual Reviews of Economics, September, 17-42. Sander, W. (1996): “Catholic grade schools and academic achievement”, Journal of Human Resources, 31 (3), 540-548. Santín, D. (2006): “La medición de la eficiencia de las escuelas: una revisión crítica”, Hacienda Pública Española/Revista de Economía Pública, 177 (2): 57-83. Silva Portela, M. C. and Thanassoulis, E. (2001): “Decomposing school and school-type efficiency”, European Journal of Operational Research, 132(2): 357–373. Simar, L. and Wilson, P. W. (2000): “Statistical inference in nonparametric frontier models: The state of the art”, Journal of Productivity Analysis, 13(1), 49–78. Summers, A.A. and Wolfe, B.L. (1977): “Do schools make a difference?”, American Economic Review, 67 (4): 639-652. Tamm, M. (2008): “Does money buy higher schooling?: Evidence from secondary school track choice in Germany”, Economics of Education Review, 27( 5), 536-545. Thanassoulis, E. and Silva Portela, M. C. A. (2002): “School Outcomes: Sharing the Responsibility Between Pupil and School1”, Education Economics, 10(2): 183–207. Thieme, C., Prior, D. and Tortosa-Ausina, E. (2013): “A multilevel decomposition of school performance using robust nonparametric frontier techniques”, Economics of Education Review, 32: 104-121. Toma, E.F. (1996): “Public funding and private schooling across countries”, Journal of Law and Economics, 39 (1), 121–148. Williams, T. and Carpenter, P. (1991): “Private schooling and public achievement in Australia”, International Journal of Educational Research, 5, 411–431. Wu, M. and Adams, R. J. (2002): “Plausible Values – Why They Are Important”, International Objective Measurement Workshop, New Orleans. Zhang Y and Bartels R (1998): “The effect of sample size on the mean efficiency in DEA with an application to electricity distribution in Australia, Sweden and New Zealand”, Journal of Productivity Analysis, 9(3): 187–204. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/51375 |