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School education development index: A meta-frontier range directional measure benefit-of-the-doubt model

Author

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  • Gulati, Rachita
  • Charles, Vincent
  • Kumar, Sunil
Abstract
While the imperative of gauging school education development across regions is widely acknowledged, a scarcity of methodologically robust measures to quantify it persists. This paper introduces an innovative non-parametric framework for constructing an all-inclusive school education development index (SEDI) across regional entities. The proposed framework, termed “meta-RDM-BoD”, seamlessly integrates three distinct yet interconnected non-parametric efficiency modeling approaches: the range directional measure (RDM) proposed by Portela et al. (2004) [5], the meta-frontier analysis developed by O'Donnell et al. (2008) [6], and the benefit-of-the-doubt (BoD) technique put forth by Melyn and Moesen (1991) [7]. Notably, the proposed framework adeptly handles both desirable and undesirable indicators, accommodates indicators with negative and zero values without compromising the properties of translation and unit invariance, and effectively accounts for underlying heterogeneity across regional entities. To illustrate the efficacy of the SEDI, we provide a compelling example using data on 36 school education indicators for Indian states and union territories in 2021–2022. These indicators cover five crucial dimensions of school education: access to school, school infrastructure and facilities, teacher quality, school outcomes, and equity in education. The results reveal spatial gaps in school education development, offering valuable insights for benchmarking, ranking, and classifying regional entities.

Suggested Citation

  • Gulati, Rachita & Charles, Vincent & Kumar, Sunil, 2024. "School education development index: A meta-frontier range directional measure benefit-of-the-doubt model," Socio-Economic Planning Sciences, Elsevier, vol. 92(C).
    • Handle: RePEc:eee:soceps:v:92:y:2024:i:c:s0038012124000223
    DOI: 10.1016/j.seps.2024.101823
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    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. Dovile Stumbriene & Ana S. Camanho & Audrone Jakaitiene, 2020. "The performance of education systems in the light of Europe 2020 strategy," Annals of Operations Research, Springer, vol. 288(2), pages 577-608, May.
    3. Sueyoshi, Toshiyuki & Goto, Mika, 2010. "Should the US clean air act include CO2 emission control?: Examination by data envelopment analysis," Energy Policy, Elsevier, vol. 38(10), pages 5902-5911, October.
    4. Vincent Charles & Tatiana Gherman & Ali Emrouznejad, 2022. "The Role of Composite Indices in International Economic Diplomacy," Springer Books, in: Vincent Charles & Ali Emrouznejad (ed.), Modern Indices for International Economic Diplomacy, chapter 0, pages 1-17, Springer.
    5. Fusco, Elisa & Vidoli, Francesco & Rogge, Nicky, 2020. "Spatial directional robust Benefit of the Doubt approach in presence of undesirable output: An application to Italian waste sector," Omega, Elsevier, vol. 94(C).
    6. Knox Lovell, C. A. & Pastor, Jesus T. & Turner, Judi A., 1995. "Measuring macroeconomic performance in the OECD: A comparison of European and non-European countries," European Journal of Operational Research, Elsevier, vol. 87(3), pages 507-518, December.
    7. Rogge, Nicky & Archer, Geoffrey, 2021. "Measuring and analyzing country change in establishing ease of doing business using a revised version of World Bank's ease of doing business index," European Journal of Operational Research, Elsevier, vol. 290(1), pages 373-385.
    8. Ben Yahia, Fatma & Essid, Hédi & Rebai, Sonia, 2018. "Do dropout and environmental factors matter? A directional distance function assessment of tunisian education efficiency," International Journal of Educational Development, Elsevier, vol. 60(C), pages 120-127.
    9. Laurens Cherchye & Erwin Ooghe & Tom Puyenbroeck, 2008. "Robust human development rankings," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(4), pages 287-321, December.
    10. 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.
    11. Karagiannis, Roxani & Karagiannis, Giannis, 2018. "Intra- and inter-group composite indicators using the BoD model," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 44-51.
    12. Christopher O’Donnell & D. Rao & George Battese, 2008. "Metafrontier frameworks for the study of firm-level efficiencies and technology ratios," Empirical Economics, Springer, vol. 34(2), pages 231-255, March.
    13. Andrew Worthington, 2001. "An Empirical Survey of Frontier Efficiency Measurement Techniques in Education," Education Economics, Taylor & Francis Journals, vol. 9(3), pages 245-268.
    14. Giménez, Víctor & Thieme, Claudio & Prior, Diego & Tortosa-Ausina, Emili, 2022. "Evaluation and determinants of preschool effectiveness in Chile," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    15. Juan Aparicio & Magdalena Kapelko & Juan F. Monge, 2020. "A Well-Defined Composite Indicator: An Application to Corporate Social Responsibility," Journal of Optimization Theory and Applications, Springer, vol. 186(1), pages 299-323, July.
    16. Zanella, Andreia & Camanho, Ana S. & Dias, Teresa G., 2015. "Undesirable outputs and weighting schemes in composite indicators based on data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 245(2), pages 517-530.
    17. M. M. Segovia-González & I. Contreras, 2023. "A Composite Indicator to Compare the Performance of Male and Female Students in Educational Systems," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 165(1), pages 181-212, January.
    18. Zhou, P. & Ang, B.W. & Poh, K.L., 2007. "A mathematical programming approach to constructing composite indicators," Ecological Economics, Elsevier, vol. 62(2), pages 291-297, April.
    19. 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.
    20. Francesca Giambona & Erasmo Vassallo, 2013. "Composite Indicator of Financial Development in a Benefit-of-Doubt Approach," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 42(2), pages 171-202, July.
    21. D K Despotis, 2005. "A reassessment of the human development index via data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(8), pages 969-980, August.
    22. Rolf Färe & Vincent Charles, 2018. "A directional distance function approach to void the non-Archimedean in DEA," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(5), pages 772-775, May.
    23. Fusco, Elisa, 2015. "Enhancing non-compensatory composite indicators: A directional proposal," European Journal of Operational Research, Elsevier, vol. 242(2), pages 620-630.
    24. Vincent Charles & Guillermo Díaz, 2017. "A Non-radial DEA Index for Peruvian Regional Competitiveness," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 134(2), pages 747-770, November.
    25. Camanho, Ana S. & Stumbriene, Dovile & Barbosa, Flávia & Jakaitiene, Audrone, 2023. "The assessment of performance trends and convergence in education and training systems of European countries," European Journal of Operational Research, Elsevier, vol. 305(1), pages 356-372.
    26. Golany, B & Roll, Y, 1989. "An application procedure for DEA," Omega, Elsevier, vol. 17(3), pages 237-250.
    27. Leopold Simar & Valentin Zelenyuk, 2006. "On Testing Equality of Distributions of Technical Efficiency Scores," Econometric Reviews, Taylor & Francis Journals, vol. 25(4), pages 497-522.
    28. Charles, Vincent & Aparicio, Juan & Zhu, Joe, 2019. "The curse of dimensionality of decision-making units: A simple approach to increase the discriminatory power of data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 279(3), pages 929-940.
    29. M C A Silva Portela & E Thanassoulis & G Simpson, 2004. "Negative data in DEA: a directional distance approach applied to bank branches," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1111-1121, October.
    30. Juan Aparicio & Magdalena Kapelko, 2019. "Enhancing the Measurement of Composite Indicators of Corporate Social Performance," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 144(2), pages 807-826, July.
    31. Olesen, Ole Bent & Petersen, Niels Christian & Podinovski, Victor V., 2017. "Efficiency measures and computational approaches for data envelopment analysis models with ratio inputs and outputs," European Journal of Operational Research, Elsevier, vol. 261(2), pages 640-655.
    32. Murty, Sushama & Robert Russell, R. & Levkoff, Steven B., 2012. "On modeling pollution-generating technologies," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 117-135.
    33. 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.
    34. Tom Puyenbroeck, 2018. "On the Output Orientation of the Benefit-of-the-Doubt-Model," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(2), pages 415-431, September.
    35. Jill Johnes & Maria Portela & Emmanuel Thanassoulis, 2017. "Efficiency in education," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 331-338, April.
    36. Laurens Cherchye & Wim Moesen & Tom Van Puyenbroeck, 2004. "Legitimately Diverse, yet Comparable: On Synthesizing Social Inclusion Performance in the EU," Journal of Common Market Studies, Wiley Blackwell, vol. 42(5), pages 919-955, December.
    37. Fare, Rolf & Grosskopf, Shawna & Noh, Dong-Woon & Weber, William, 2005. "Characteristics of a polluting technology: theory and practice," Journal of Econometrics, Elsevier, vol. 126(2), pages 469-492, June.
    38. Salvatore Greco & Alessio Ishizaka & Menelaos Tasiou & Gianpiero Torrisi, 2019. "On the Methodological Framework of Composite Indices: A Review of the Issues of Weighting, Aggregation, and Robustness," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(1), pages 61-94, January.
    39. 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.
    40. Dircio-Palacios-Macedo, María del Carmen & Cruz-García, Paula & Hernández-Trillo, Fausto & Tortosa-Ausina, Emili, 2023. "Constructing a financial inclusion index for Mexican municipalities," Finance Research Letters, Elsevier, vol. 52(C).
    41. Mariano, Enzo Barberio & Sobreiro, Vinicius Amorim & Rebelatto, Daisy Aparecida do Nascimento, 2015. "Human development and data envelopment analysis: A structured literature review," Omega, Elsevier, vol. 54(C), pages 33-49.
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    More about this item

    Keywords

    School education development index; Benefit-of-the-doubt; Data envelopment analysis; Range directional measure; Dropouts;
    All these keywords.

    JEL classification:

    • I20 - Health, Education, and Welfare - - Education - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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