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Efficiency of secondary schools in Ecuador: A value based DEA approach

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  • Henriques, C.O.
  • Chavez, J.M.
  • Gouveia, M.C.
  • Marcenaro-Gutierrez, O.D.

Abstract

This paper proposes a novel Value-Based Data Envelopment Analysis model which specifically tackles non-discretionary data to assess the performance of 159 secondary schools from Ecuador by employing data from the Programme for International Student Assessment for Development. When contrasted with traditional Data Envelopment Analysis models, the Value-Based Data Envelopment Analysis model has several innovative characteristics that can be particularly convenient not only for including the preferences (generally not incorporated) of the decision-makers, but because it easily handles negative or null data. In addition, this methodology also employs a procedure that allows performing the robustness assessment (rarely employed in similar studies) of the results obtained. The factors considered to perform the efficiency assessment of each school include indexes, which reflect the quality of both basic school infrastructures and instructional resources, the economic, social, and cultural level index of students, the student-teacher ratio, and test scores in maths, reading and science. Our findings suggest that the average efficient school has mean scores across all competencies below the average of Latin American and Caribbean countries. Besides, inefficient schools need to make a greater effort to improve results in maths when compared to reading and science competencies. Finally, it can be concluded that inefficient schools can improve students’ achievements by about 11%–12%, with almost the same instructional resources and with a ratio of students per teacher 23% higher but requiring an enhancement of the basic school infrastructure by about 7%.

Suggested Citation

  • Henriques, C.O. & Chavez, J.M. & Gouveia, M.C. & Marcenaro-Gutierrez, O.D., 2022. "Efficiency of secondary schools in Ecuador: A value based DEA approach," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
  • Handle: RePEc:eee:soceps:v:82:y:2022:i:pa:s0038012122000040
    DOI: 10.1016/j.seps.2022.101226
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    as
    1. Ruggiero, John, 1998. "Non-discretionary inputs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 111(3), pages 461-469, December.
    2. Steven G. Rivkin & Eric A. Hanushek & John F. Kain, 2005. "Teachers, Schools, and Academic Achievement," Econometrica, Econometric Society, vol. 73(2), pages 417-458, March.
    3. Jacob M. Markman & Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2003. "Does peer ability affect student achievement?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(5), pages 527-544.
    4. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    5. Cruz-Aguayo, Yyannú & Ibarrarán, Pablo & Schady, Norbert, 2017. "Do tests applied to teachers predict their effectiveness?," Economics Letters, Elsevier, vol. 159(C), pages 108-111.
    6. Peter Dolton & Oscar D. Marcenaro-Gutierrez, 2011. "If you pay peanuts do you get monkeys? A cross-country analysis of teacher pay and pupil performance [Discrimination in the market for public school teachers]," Economic Policy, CEPR;CES;MSH, vol. 26(65), pages 5-55.
    7. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    8. Aparicio, Juan & Cordero, Jose M. & Ortiz, Lidia, 2019. "Measuring efficiency in education: The influence of imprecision and variability in data on DEA estimates," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    9. 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.
    10. Tramonte, Lucia & Willms, J. Douglas, 2010. "Cultural capital and its effects on education outcomes," Economics of Education Review, Elsevier, vol. 29(2), pages 200-213, April.
    11. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    12. repec:oup:ecpoli:v:26:y:2011:i:01:p:5-55 is not listed on IDEAS
    13. Emrouznejad, Ali & Yang, Guo-liang, 2018. "A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 4-8.
    14. Jesus T. Pastor & Juan Aparicio, 2015. "Translation Invariance in Data Envelopment Analysis," International Series in Operations Research & Management Science, in: Joe Zhu (ed.), Data Envelopment Analysis, edition 127, chapter 8, pages 245-268, Springer.
    15. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    16. M. Caridad Araujo & Pedro Carneiro & Yyannú Cruz-Aguayo & Norbert Schady, 2016. "Teacher Quality and Learning Outcomes in Kindergarten," The Quarterly Journal of Economics, Oxford University Press, vol. 131(3), pages 1415-1453.
    17. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min & Lin, Bruce J.Y., 2013. "A survey of DEA applications," Omega, Elsevier, vol. 41(5), pages 893-902.
    18. 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.
    19. M C Gouveia & L C Dias & C H Antunes, 2008. "Additive DEA based on MCDA with imprecise information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 54-63, January.
    20. William Cooper & Jesús Pastor & Fernando Borras & Juan Aparicio & Diego Pastor, 2011. "BAM: a bounded adjusted measure of efficiency for use with bounded additive models," Journal of Productivity Analysis, Springer, vol. 35(2), pages 85-94, April.
    21. Gouveia, M.C. & Henriques, C.O. & Costa, P., 2021. "Evaluating the efficiency of structural funds: An application in the competitiveness of SMEs across different EU beneficiary regions," Omega, Elsevier, vol. 101(C).
    22. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, October.
    23. William Cooper & Kyung Park & Jesus Pastor, 1999. "RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA," Journal of Productivity Analysis, Springer, vol. 11(1), pages 5-42, February.
    24. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    25. Tavana, Madjid & Ebrahimnejad, Ali & Santos-Arteaga, Francisco J. & Mansourzadeh, Seyed Mehdi & Matin, Reza Kazemi, 2018. "A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 70-89.
    26. 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.
    27. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    28. Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
    29. M C Gouveia & L C Dias & C H Antunes, 2013. "Super-efficiency and stability intervals in additive DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(1), pages 86-96, January.
    30. Cazals, Catherine & Florens, Jean-Pierre & Simar, Leopold, 2002. "Nonparametric frontier estimation: a robust approach," Journal of Econometrics, Elsevier, vol. 106(1), pages 1-25, January.
    31. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    32. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
    33. Daniel Santín & Gabriela Sicilia, 2015. "Measuring the efficiency of public schools in Uruguay: main drivers and policy implications," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 24(1), pages 1-28, December.
    34. Afonso, Antonio & St. Aubyn, Miguel, 2006. "Cross-country efficiency of secondary education provision: A semi-parametric analysis with non-discretionary inputs," Economic Modelling, Elsevier, vol. 23(3), pages 476-491, May.
    35. P N de Almeida & L C Dias, 2012. "Value-based DEA models: application-driven developments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(1), pages 16-27, January.
    36. Ali, Agha Iqbal & Lerme, Catherine S. & Seiford, Lawrence M., 1995. "Components of efficiency evaluation in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 80(3), pages 462-473, February.
    37. Subhash C. Ray, 1991. "Resource-Use Efficiency in Public Schools: A Study of Connecticut Data," Management Science, INFORMS, vol. 37(12), pages 1620-1628, December.
    38. Harold Fried & Shelton Schmidt & Suthathip Yaisawarng, 1999. "Incorporating the Operating Environment Into a Nonparametric Measure of Technical Efficiency," Journal of Productivity Analysis, Springer, vol. 12(3), pages 249-267, November.
    39. Henriques, C.O. & Marcenaro-Gutierrez, O.D., 2021. "Efficiency of secondary schools in Portugal: A novel DEA hybrid approach," Socio-Economic Planning Sciences, Elsevier, vol. 74(C).
    40. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The weighted additive distance function," European Journal of Operational Research, Elsevier, vol. 254(1), pages 338-346.
    41. Gouveia, M.C. & Dias, L.C. & Antunes, C.H. & Boucinha, J. & Inácio, C.F., 2015. "Benchmarking of maintenance and outage repair in an electricity distribution company using the value-based DEA method," Omega, Elsevier, vol. 53(C), pages 104-114.
    42. Juan Aparicio & José Ruiz & Inmaculada Sirvent, 2007. "Closest targets and minimum distance to the Pareto-efficient frontier in DEA," Journal of Productivity Analysis, Springer, vol. 28(3), pages 209-218, December.
    43. Juan Aparicio & Jose M. Cordero & Lidia Ortiz, 2021. "Efficiency Analysis with Educational Data: How to Deal with Plausible Values from International Large-Scale Assessments," Mathematics, MDPI, vol. 9(13), pages 1-16, July.
    44. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The directional distance function and the translation invariance property," Omega, Elsevier, vol. 58(C), pages 1-3.
    45. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June.
    46. Aparicio, Juan & Garcia-Nove, Eva M. & Kapelko, Magdalena & Pastor, Jesus T., 2017. "Graph productivity change measure using the least distance to the pareto-efficient frontier in data envelopment analysis," Omega, Elsevier, vol. 72(C), pages 1-14.
    47. M. Caridad Araujo & Pedro Carneiro & Yyannú Cruz-Aguayo & Norbert Schady, 2016. "Teacher Quality and Learning Outcomes in Kindergarten," The Quarterly Journal of Economics, Oxford University Press, vol. 131(3), pages 1415-1453.
    48. Javad Vakili & Hanieh Amirmoshiri & Rashed Khanjani Shiraz & Hirofumi Fukuyama, 2020. "A modified distance friction minimization approach in data envelopment analysis," Annals of Operations Research, Springer, vol. 288(2), pages 789-804, May.
    49. Maria do Castelo Gouveia & Elisabete Duarte Neves & Luís Cândido Dias & Carlos Henggeler Antunes, 2018. "Performance evaluation of Portuguese mutual fund portfolios using the value-based DEA method," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(10), pages 1628-1639, October.
    50. Norbert Schady & Maria Caridad Araujo, 2008. "Cash Transfers, Conditions, and School enrollment in Ecuador," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Spring 20), pages 43-77, January.
    51. Aparicio, Juan & Mahlberg, Bernhard & Pastor, Jesus T. & Sahoo, Biresh K., 2014. "Decomposing technical inefficiency using the principle of least action," European Journal of Operational Research, Elsevier, vol. 239(3), pages 776-785.
    52. Tommaso Agasisti, 2013. "The efficiency of Italian secondary schools and the potential role of competition: a data envelopment analysis using OECD-PISA2006 data," Education Economics, Taylor & Francis Journals, vol. 21(5), pages 520-544, December.
    53. M. C. Gouveia & L. C. Dias & C. H. Antunes & M. A. Mota & E. M. Duarte & E. M. Tenreiro, 2016. "An application of value-based DEA to identify the best practices in primary health care," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 743-767, July.
    54. Kaoru Tone, 2001. "On Returns to Scale under Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 16(1), pages 31-47, July.
    55. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2007. "Data Envelopment Analysis," Springer Books, Springer, edition 0, number 978-0-387-45283-8, January.
    56. Fukuyama, Hirofumi & Maeda, Yasunobu & Sekitani, Kazuyuki & Shi, Jianming, 2014. "Input–output substitutability and strongly monotonic p-norm least distance DEA measures," European Journal of Operational Research, Elsevier, vol. 237(3), pages 997-1007.
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