IDEAS home Printed from https://ideas.repec.org/a/col/000090/020521.html
   My bibliography  Save this article

Análisis de eficiencia en educación: una aplicación del método StoNED

Author

Listed:
  • Alexander Arévalo S
  • Víctor Giménez G
  • Diego Prior J

Abstract

En Colombia se han implementado métodos para medir la eficacia de las instituciones de educación media; por ello en este artículo se busca establecer la eficiencia de estas instituciones, utilizando una metodología innovadora conocida como análisis envolvente de datos estocástico no paramétrico (StoNED) haciendo una medición orientada al output. Se plantea una visualización de la relación entre la eficiencia y la gestión de las secretarías de educación por departamento. Se toman como unidades de decisión las instituciones, por medio de los resultados estudiantiles de las pruebas Saber 11; teniendo en cuenta dos niveles de agregación, por institución y por departamentos. Se encuentra una ligera diferencia en la proporción de instituciones que presentan una eficiencia técnica con respecto a las que no la presentan. Más aún, se identifica que la mayoría de las instituciones que no evidencian eficiencia técnica son aquellas de naturaleza oficial, así como las ubicadas en zona rural.

Suggested Citation

  • Alexander Arévalo S & Víctor Giménez G & Diego Prior J, 2022. "Análisis de eficiencia en educación: una aplicación del método StoNED," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, vol. 92(2), pages 45-91, October.
  • Handle: RePEc:col:000090:020521
    as

    Download full text from publisher

    File URL: https://revistas.uniandes.edu.co/doi/pdf/10.13043/DYS.92.2
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nataliia Kovernuk, 2016. "Efficiency Financial Resources In Vocational Education," Baltic Journal of Economic Studies, Publishing house "Baltija Publishing", vol. 2(4).
    2. Brzezicki Łukasz & Pietrzak Piotr & Cieciora Małgorzata, 2020. "The Total Efficiency of Teaching Activity of Polish Higher Education Institutions," Foundations of Management, Sciendo, vol. 12(1), pages 19-30, January.
    3. Dong, Yizhe & Hamilton, Robert & Tippett, Mark, 2014. "Cost efficiency of the Chinese banking sector: A comparison of stochastic frontier analysis and data envelopment analysis," Economic Modelling, Elsevier, vol. 36(C), pages 298-308.
    4. Jill Johnes, 2014. "Efficiency and Mergers in English Higher Education 1996/97 to 2008/9: Parametric and Non-parametric Estimation of the Multi-input Multi-output Distance Function," Manchester School, University of Manchester, vol. 82(4), pages 465-487, July.
    5. Deller, Steven C. & Rudnicki, Edward, 1993. "Production efficiency in elementary education: The case of Maine public schools," Economics of Education Review, Elsevier, vol. 12(1), pages 45-57, March.
    6. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    7. Dong-hyun Oh, 2010. "A global Malmquist-Luenberger productivity index," Journal of Productivity Analysis, Springer, vol. 34(3), pages 183-197, December.
    8. C. Lovell & Shawna Grosskopf & Eduardo Ley & Jesús Pastor & Diego Prior & Philippe Eeckaut, 1994. "Linear programming approaches to the measurement and analysis of productive efficiency," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 2(2), pages 175-248, December.
    9. Fertig, Michael & Wright, Robert E., 2005. "School quality, educational attainment and aggregation bias," Economics Letters, Elsevier, vol. 88(1), pages 109-114, July.
    10. V Giménez & D Prior & C Thieme, 2007. "Technical efficiency, managerial efficiency and objective-setting in the educational system: an international comparison," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(8), pages 996-1007, August.
    11. Charles F. Manski, 2000. "Economic Analysis of Social Interactions," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 115-136, Summer.
    12. Castano, Elkin & Gallón, Santiago & Gómez, Karoll & Vásquez, Johanna, 2006. "Análisis de los factores asociadosa la deserción y graduación estudiantil universitaria," Revista Lecturas de Economía, Universidad de Antioquia, CIE, November.
    13. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    14. Andrew Johnson & John Ruggiero, 2014. "Nonparametric measurement of productivity and efficiency in education," Annals of Operations Research, Springer, vol. 221(1), pages 197-210, October.
    15. Ligia Melo & Néstor Espinosa, 2005. "Ineficiencia en la distribución de energía eléctrica: una aplicación de las funciones de distancia estocástica," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 23(49), pages 88-132, December.
    16. Kuosmanen, Timo, 2012. "Stochastic semi-nonparametric frontier estimation of electricity distribution networks: Application of the StoNED method in the Finnish regulatory model," Energy Economics, Elsevier, vol. 34(6), pages 2189-2199.
    17. M-J Mancebón & J Calero & Á Choi & D P Ximénez-de-Embún, 2012. "The efficiency of public and publicly subsidized high schools in Spain: Evidence from PISA-2006," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1516-1533, November.
    18. Claudio Thieme & Diego Prior & Víctor Giménez & Emili Tortosa-Ausina, 2011. "Desempeño de los centros educativos: ¿un problema de recursos o capacidades organizativas?," Hacienda Pública Española / Review of Public Economics, IEF, vol. 199(4), pages 81-118, December.
    19. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    20. Silva Portela, Maria Conceicao A. & Thanassoulis, Emmanuel, 2001. "Decomposing school and school-type efficiency," European Journal of Operational Research, Elsevier, vol. 132(2), pages 357-373, July.
    21. Andrew Worthington, 2001. "An Empirical Survey of Frontier Efficiency Measurement Techniques in Education," Education Economics, Taylor & Francis Journals, vol. 9(3), pages 245-268.
    22. Barrow, Michael M., 1991. "Measuring local education authority performance: A frontier approach," Economics of Education Review, Elsevier, vol. 10(1), pages 19-27, March.
    23. Ana María Iregui & Ligia Melo & Jorge Ramos, 2007. "Análisis de eficiencia de la educación en Colombia," Revista de Economía del Rosario, Universidad del Rosario, May.
    24. M. Portela & A. Camanho & A. Keshvari, 2013. "Assessing the evolution of school performance and value-added: trends over four years," Journal of Productivity Analysis, Springer, vol. 39(1), pages 1-14, February.
    25. José Manuel Cordero & Daniel Santín & Rosa Simancas, 2017. "Assessing European primary school performance through a conditional nonparametric model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 364-376, April.
    26. Ligia Alba Melo-Becerra & Jorge Enrique Ramos-Forero & Pedro Oswaldo Hernández-Santamaría, 2017. "La educación superior en Colombia: situación actual y análisis de eficiencia," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, vol. 78, February.
    27. Mark Andor & Frederik Hesse, 2014. "The StoNED age: the departure into a new era of efficiency analysis? A monte carlo comparison of StoNED and the “oldies” (SFA and DEA)," Journal of Productivity Analysis, Springer, vol. 41(1), pages 85-109, February.
    28. Fan, Yanqin & Li, Qi & Weersink, Alfons, 1996. "Semiparametric Estimation of Stochastic Production Frontier Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 460-468, October.
    29. Alfred A. Haug & Vincent C. Blackburn, 2017. "Government secondary school finances in New South Wales: accounting for students’ prior achievements in a two-stage DEA at the school level," Journal of Productivity Analysis, Springer, vol. 48(1), pages 69-83, August.
    30. Shen, Xiaobo & Lin, Boqiang, 2017. "The shadow prices and demand elasticities of agricultural water in China: A StoNED-based analysis," Resources, Conservation & Recycling, Elsevier, vol. 127(C), pages 21-28.
    31. Thieme, Claudio & Prior, Diego & Tortosa-Ausina, Emili, 2013. "A multilevel decomposition of school performance using robust nonparametric frontier techniques," Economics of Education Review, Elsevier, vol. 32(C), pages 104-121.
    32. Tommaso Agasisti & Antonio Dal Bianco, 2006. "Data envelopment analysis to the Italian university system: theoretical issues and policy implications," International Journal of Business Performance Management, Inderscience Enterprises Ltd, vol. 8(4), pages 344-367.
    33. Nguyen, Trang T.T. & Prior, Diego & Van Hemmen, Stefan, 2020. "Stochastic semi-nonparametric frontier approach for tax administration efficiency measure: Evidence from a cross-country study," Economic Analysis and Policy, Elsevier, vol. 66(C), pages 137-153.
    34. Podinovski, Victor V. & Ismail, Ihsan & Bouzdine-Chameeva, Tatiana & Zhang, Wenjuan, 2014. "Combining the assumptions of variable and constant returns to scale in the efficiency evaluation of secondary schools," European Journal of Operational Research, Elsevier, vol. 239(2), pages 504-513.
    35. Anup Kumar & Rajiv R. Thakur, 2019. "Objectivity in performance ranking of higher education institutions using dynamic data envelopment analysis," International Journal of Productivity and Performance Management, Emerald Group Publishing Limited, vol. 68(4), pages 774-796, January.
    36. Eskelinen, Juha & Kuosmanen, Timo, 2013. "Intertemporal efficiency analysis of sales teams of a bank: Stochastic semi-nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5163-5175.
    37. John CUBBIN & Hadi ZAMANI, 1996. "A Comparison Of Performance Indicators For Training And Enterprise Councils In The Uk," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 67(4), pages 603-632, December.
    38. Sulis, Isabella & Giambona, Francesca & Porcu, Mariano, 2020. "Adjusted indicators of quality and equity for monitoring the education systems over time. Insights on EU15 countries from PISA surveys," Socio-Economic Planning Sciences, Elsevier, vol. 69(C).
    39. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2006. "Introduction to Data Envelopment Analysis and Its Uses," Springer Books, Springer, number 978-0-387-29122-2, September.
    40. Shawna Grosskopf & Kathy J. Hayes & Lori L. Taylor, 2014. "Efficiency in Education: Research and Implications," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 36(2), pages 175-210.
    41. J. M. Bates, 1997. "Measuring predetermined socioeconomic 'inputs' when assessing the efficiency of educational outputs," Applied Economics, Taylor & Francis Journals, vol. 29(1), pages 85-93.
    42. Timo Kuosmanen & Andrew Johnson & Antti Saastamoinen, 2015. "Stochastic Nonparametric Approach to Efficiency Analysis: A Unified Framework," International Series in Operations Research & Management Science, in: Joe Zhu (ed.), Data Envelopment Analysis, edition 127, chapter 7, pages 191-244, Springer.
    43. Sengupta, Jati K. & Sfeir, Raymond E., 1986. "Production frontier estimates of scale in public schools in California," Economics of Education Review, Elsevier, vol. 5(3), pages 297-307, June.
    44. Emmanuel Thanassoulis & Maria Da Conceicao & A. Silva Portela, 2002. "School Outcomes: Sharing the Responsibility Between Pupil and School1," Education Economics, Taylor & Francis Journals, vol. 10(2), pages 183-207.
    45. Víctor Giménez & Claudio Thieme & Diego Prior & Emili Tortosa-Ausina, 2017. "An international comparison of educational systems: a temporal analysis in presence of bad outputs," Journal of Productivity Analysis, Springer, vol. 47(1), pages 83-101, February.
    46. Eric A. Hanushek, 1979. "Conceptual and Empirical Issues in the Estimation of Educational Production Functions," Journal of Human Resources, University of Wisconsin Press, vol. 14(3), pages 351-388.
    47. Stefano Caiazza & Alberto Franco Pozzolo & Giovanni Trovato, 2016. "Bank efficiency measures, M&A decision and heterogeneity," Journal of Productivity Analysis, Springer, vol. 46(1), pages 25-41, August.
    48. Salinas, Paula & Solé-Ollé, Albert, 2018. "Partial fiscal decentralization reforms and educational outcomes: A difference-in-differences analysis for Spain," Journal of Urban Economics, Elsevier, vol. 107(C), pages 31-46.
    49. Carla Haelermans & John Ruggiero, 2017. "Non-parametric estimation of the cost of adequacy in education: the case of Dutch schools," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 390-398, April.
    50. Hanushek, Eric A., 2002. "Publicly provided education," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 4, chapter 30, pages 2045-2141, Elsevier.
    51. C. Lovell, 2003. "The Decomposition of Malmquist Productivity Indexes," Journal of Productivity Analysis, Springer, vol. 20(3), pages 437-458, November.
    52. Alexandre Padilla & Nicolás Cachanosky & Jonathan Beck, 2020. "Immigration and Economic Freedom: Does Education Matter?," Journal of Private Enterprise, The Association of Private Enterprise Education, vol. 35(Spring 20), pages 29-57.
    53. Eva Crespo-Cebada & Francisco Pedraja-Chaparro & Daniel Santín, 2014. "Does school ownership matter? An unbiased efficiency comparison for regions of Spain," Journal of Productivity Analysis, Springer, vol. 41(1), pages 153-172, February.
    54. Andrew Johnson & Timo Kuosmanen, 2011. "One-stage estimation of the effects of operational conditions and practices on productive performance: asymptotically normal and efficient, root-n consistent StoNEZD method," Journal of Productivity Analysis, Springer, vol. 36(2), pages 219-230, October.
    55. Afsharian, Mohsen, 2017. "Metafrontier efficiency analysis with convex and non-convex metatechnologies by stochastic nonparametric envelopment of data," Economics Letters, Elsevier, vol. 160(C), pages 1-3.
    56. Ivan Rodríguez Murillo, 2014. "Eficiencia de la educación superior en Colombia: un análisis mediante fronteras," Revista CIFE, Universidad Santo Tomás, September.
    57. Sergio Perelman & Daniel Santin, 2011. "Measuring educational efficiency at student level with parametric stochastic distance functions: an application to Spanish PISA results," Education Economics, Taylor & Francis Journals, vol. 19(1), pages 29-49.
    58. De Witte, Kristof & Rogge, Nicky, 2011. "Accounting for exogenous influences in performance evaluations of teachers," Economics of Education Review, Elsevier, vol. 30(4), pages 641-653, August.
    59. Li, Hong-Zhou & Kopsakangas-Savolainen, Maria & Xiao, Xing-Zhi & Tian, Zhen-Zhen & Yang, Xiao-Yuan & Wang, Jian-Lin, 2016. "Cost efficiency of electric grid utilities in China: A comparison of estimates from SFA–MLE, SFA–Bayes and StoNED–CNLS," Energy Economics, Elsevier, vol. 55(C), pages 272-283.
    60. Thomas R. Sexton & Christie L. Comunale & Stephen C. Gara, 2012. "Efficiency-Based Funding for Public Four-Year Colleges and Universities," Education Finance and Policy, MIT Press, vol. 7(3), pages 331-359, July.
    61. Hanushek, Eric A. & Luque, Javier A., 2003. "Efficiency and equity in schools around the world," Economics of Education Review, Elsevier, vol. 22(5), pages 481-502, October.
    62. A. Charnes & W. W. Cooper & E. Rhodes, 1981. "Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through," Management Science, INFORMS, vol. 27(6), pages 668-697, June.
    63. Julia Schaefer & Marcel Clermont, 2018. "Stochastic non-smooth envelopment of data for multi-dimensional output," Journal of Productivity Analysis, Springer, vol. 50(3), pages 139-154, December.
    64. Kuosmanen, Timo & Johnson, Andrew, 2017. "Modeling joint production of multiple outputs in StoNED: Directional distance function approach," European Journal of Operational Research, Elsevier, vol. 262(2), pages 792-801.
    65. Timo Kuosmanen & Andrew L. Johnson, 2010. "Data Envelopment Analysis as Nonparametric Least-Squares Regression," Operations Research, INFORMS, vol. 58(1), pages 149-160, February.
    66. Sagarra, Marti & Mar-Molinero, Cecilio & Agasisti, Tommaso, 2017. "Exploring the efficiency of Mexican universities: Integrating Data Envelopment Analysis and Multidimensional Scaling," Omega, Elsevier, vol. 67(C), pages 123-133.
    67. Delimiro Visbal-Cadavid & Mónica Martínez-Gómez & Francisco Guijarro, 2017. "Assessing the Efficiency of Public Universities through DEA. A Case Study," Sustainability, MDPI, vol. 9(8), pages 1-19, August.
    68. Wang, Derek D., 2019. "Performance-based resource allocation for higher education institutions in China," Socio-Economic Planning Sciences, Elsevier, vol. 65(C), pages 66-75.
    69. Víctor Giménez & Claudio Thieme & Diego Prior & Emili Tortosa-Ausina, 2019. "Comparing the Performance of National Educational Systems: Inequality Versus Achievement?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(2), pages 581-609, January.
    70. Kalyan Chakraborty & Richard K. Harper, 2017. "Measuring the Impact of Socio-Economic Factors on School Efficiency in Australia," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 45(2), pages 163-179, June.
    71. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    72. E Thanassoulis & M Kortelainen & G Johnes & J Johnes, 2011. "Costs and efficiency of higher education institutions in England: a DEA analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1282-1297, July.
    73. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    74. Mekaroonreung, Maethee & Johnson, Andrew L., 2012. "Estimating the shadow prices of SO2 and NOx for U.S. coal power plants: A convex nonparametric least squares approach," Energy Economics, Elsevier, vol. 34(3), pages 723-732.
    75. Timo Kuosmanen & Mika Kortelainen, 2012. "Stochastic non-smooth envelopment of data: semi-parametric frontier estimation subject to shape constraints," Journal of Productivity Analysis, Springer, vol. 38(1), pages 11-28, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    2. Arbona, Alexei & Giménez, Víctor & López-Estrada, Sebastián & Prior, Diego, 2022. "Efficiency and quality in Colombian education: An application of the metafrontier Malmquist-Luenberger productivity index," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    3. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    4. Aparicio, Juan & López-Torres, Laura & Santín, Daniel, 2018. "Economic crisis and public education. A productivity analysis using a Hicks-Moorsteen index," Economic Modelling, Elsevier, vol. 71(C), pages 34-44.
    5. K. Kounetas & G. Androulakis & M. Kaisari & G. Manousakis, 2023. "Educational reforms and secondary school's efficiency performance in Greece: a bootstrap DEA and multilevel approach," Operational Research, Springer, vol. 23(1), pages 1-29, March.
    6. Aparicio, Juan & Cordero, Jose M. & Gonzalez, Martin & Lopez-Espin, Jose J., 2018. "Using non-radial DEA to assess school efficiency in a cross-country perspective: An empirical analysis of OECD countries," Omega, Elsevier, vol. 79(C), pages 9-20.
    7. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    8. José Manuel Cordero & Daniel Santín & Rosa Simancas, 2017. "Assessing European primary school performance through a conditional nonparametric model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 364-376, April.
    9. Paolo Liberati & Raffaele Lagravinese & Giuliano Resce, 2017. "How Does Economic Social And Cultural Status Affect The Efficiency Of Educational Attainments? A Comparative Analysis On Pisa Results," Departmental Working Papers of Economics - University 'Roma Tre' 0217, Department of Economics - University Roma Tre.
    10. Cristina Polo & Julián Ramajo & Alejandro Ricci‐Risquete, 2021. "A stochastic semi‐non‐parametric analysis of regional efficiency in the European Union," Regional Science Policy & Practice, Wiley Blackwell, vol. 13(1), pages 7-24, February.
    11. Cordero, Jose M. & Polo, Cristina & Santín, Daniel & Simancas, Rosa, 2018. "Efficiency measurement and cross-country differences among schools: A robust conditional nonparametric analysis," Economic Modelling, Elsevier, vol. 74(C), pages 45-60.
    12. López-Torres, Laura & Prior, Diego, 2022. "Long-term efficiency of public service provision in a context of budget restrictions. An application to the education sector," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    13. Jose M. Cordero & Cristina Polo & Daniel Santín, 2020. "Assessment of new methods for incorporating contextual variables into efficiency measures: a Monte Carlo simulation," Operational Research, Springer, vol. 20(4), pages 2245-2265, December.
    14. Liu, Fangmei & Li, Li & Ye, Bin & Qin, Quande, 2023. "A novel stochastic semi-parametric frontier-based three-stage DEA window model to evaluate China's industrial green economic efficiency," Energy Economics, Elsevier, vol. 119(C).
    15. Camanho, Ana S. & Varriale, Luisa & Barbosa, Flávia & Sobral, Thiago, 2021. "Performance assessment of upper secondary schools in Italian regions using a circular pseudo-Malmquist index," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1188-1208.
    16. Paola Azar & Gabriela Sicilia, 2021. "An assessment of pupil and school performance in public primary education in Uruguay," Documentos de Trabajo (working papers) 21-22, Instituto de Economía - IECON.
    17. López-Torres, Laura & Nicolini, Rosella & Prior, Diego, 2017. "Does strategic interaction affect demand for school places? A conditional efficiency approach," Regional Science and Urban Economics, Elsevier, vol. 65(C), pages 89-103.
    18. Cordero, José Manuel & Prior, Diego & Simancas Rodríguez, Rosa, 2013. "A comparison of public and private schools in Spain using robust nonparametric frontier methods," MPRA Paper 51375, University Library of Munich, Germany.
    19. Andrew Worthington, 2001. "An Empirical Survey of Frontier Efficiency Measurement Techniques in Education," Education Economics, Taylor & Francis Journals, vol. 9(3), pages 245-268.
    20. Keshvari, Abolfazl & Kuosmanen, Timo, 2013. "Stochastic non-convex envelopment of data: Applying isotonic regression to frontier estimation," European Journal of Operational Research, Elsevier, vol. 231(2), pages 481-491.

    More about this item

    Keywords

    modelo económico; optimización; productividad; política gubernamental; Colombia.;
    All these keywords.

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • I28 - Health, Education, and Welfare - - Education - - - Government Policy

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:col:000090:020521. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Universidad De Los Andes-Cede (email available below). General contact details of provider: https://edirc.repec.org/data/ceandco.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.