IDEAS home Printed from https://ideas.repec.org/a/spr/soinre/v157y2021i2d10.1007_s11205-021-02660-4.html
   My bibliography  Save this article

The Human Development Index with Multiple Data Envelopment Analysis Approaches: A Comparative Evaluation Using Social Network Analysis

Author

Listed:
  • Enzo Barberio Mariano

    (São Paulo State University (UNESP))

  • Diogo Ferraz

    (São Paulo State University (UNESP)
    University of Hohenheim
    Federal University of Ouro Preto (UFOP))

  • Simone Cristina Oliveira Gobbo

    (São Paulo State University (UNESP))

Abstract

The objective of this work is to use multiple Data Envelopment Analysis (DEA)/Benefit of the Doubt (BoD) approaches for the readjustment and exploitation of the Human Development Index (HDI). The HDI is the leading indicator for the vision of “development as freedom”; it is a Composite Index, wherein three dimensions (income, health, and education), represented by four indicators, are aggregated. The DEA-BoD approaches used in this work were: the traditional BoD; the Multiplicative BoD; the Slacks Based Measure (SBM) BoD; the Range Adjusted Model (RAM) BoD; weight restrictions; common weights; and tiebreaker methods. These approaches were applied to raw and normalized HDI data from 2018, to generate 40 different rankings for 189 countries. The resulting indexes were analyzed and compared using Social Network Analysis (SNA) and information derived from DEA itself (slacks, relative contributions, targets, relative targets and benchmarks). This paper presents useful DEA derived indexes that could be replicated in other contexts. In addition, it contributes by presenting a clearer picture of the differences between BoD models and offering a new way to appreciate the world's human development panorama.

Suggested Citation

  • Enzo Barberio Mariano & Diogo Ferraz & Simone Cristina Oliveira Gobbo, 2021. "The Human Development Index with Multiple Data Envelopment Analysis Approaches: A Comparative Evaluation Using Social Network Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 157(2), pages 443-500, September.
    • Handle: RePEc:spr:soinre:v:157:y:2021:i:2:d:10.1007_s11205-021-02660-4
    DOI: 10.1007/s11205-021-02660-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11205-021-02660-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11205-021-02660-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Van Puyenbroeck, Tom & Rogge, Nicky, 2020. "Comparing regional human development using global frontier difference indices," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    2. 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.
    3. Hatefi, S.M. & Torabi, S.A., 2010. "A common weight MCDA-DEA approach to construct composite indicators," Ecological Economics, Elsevier, vol. 70(1), pages 114-120, November.
    4. P. Zhou & B. Ang & D. Zhou, 2010. "Weighting and Aggregation in Composite Indicator Construction: a Multiplicative Optimization Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 96(1), pages 169-181, March.
    5. Sarrico, C. S. & Dyson, R. G., 2004. "Restricting virtual weights in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 159(1), pages 17-34, November.
    6. José Sobreiro Filho & Enzo Barberio Mariano & Vinicius Amorim Sobreiro & Charbel José Chiappetta Jabbour, 2016. "Beyond the Agrarian Reform Policies in Brazil: An Empirical Study of Brazilian States from 1995 Through 2011," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(3), pages 1093-1114, December.
    7. S. M. Hatefi & S. A. Torabi, 2018. "A slack analysis framework for improving composite indicators with applications to human development and sustainable energy indices," Econometric Reviews, Taylor & Francis Journals, vol. 37(3), pages 247-259, March.
    8. Enzo Barberio Mariano & Daisy Aparecida do Nascimento Rebelatto, 2014. "Transformation of wealth produced into quality of life: analysis of the social efficiency of nation-states with the DEA’s triple index approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(11), pages 1664-1681, November.
    9. Chris Tofallis, 2013. "An automatic-democratic approach to weight setting for the new human development index," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(4), pages 1325-1345, October.
    10. Bougnol, M.-L. & Dulá, J.H. & Estellita Lins, M.P. & Moreira da Silva, A.C., 2010. "Enhancing standard performance practices with DEA," Omega, Elsevier, vol. 38(1-2), pages 33-45, February.
    11. Van Puyenbroeck, Tom & Rogge, Nicky, 2017. "Geometric mean quantity index numbers with Benefit-of-the-Doubt weights," European Journal of Operational Research, Elsevier, vol. 256(3), pages 1004-1014.
    12. Zhou, P. & Delmas, M.A. & Kohli, A., 2017. "Constructing meaningful environmental indices: A nonparametric frontier approach," Journal of Environmental Economics and Management, Elsevier, vol. 85(C), pages 21-34.
    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. W. Cooper & L. Seiford & K. Tone & J. Zhu, 2007. "Some models and measures for evaluating performances with DEA: past accomplishments and future prospects," Journal of Productivity Analysis, Springer, vol. 28(3), pages 151-163, December.
    15. Entani, Tomoe & Maeda, Yutaka & Tanaka, Hideo, 2002. "Dual models of interval DEA and its extension to interval data," European Journal of Operational Research, Elsevier, vol. 136(1), pages 32-45, January.
    16. 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.
    17. Banker, Rajiv D. & Chang, Hsihui, 2006. "The super-efficiency procedure for outlier identification, not for ranking efficient units," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1311-1320, December.
    18. Naja Brandão Santana & Enzo Barberio Mariano & Flávia de Castro Camioto & Daisy Aparecida do Nascimento Rebelatto, 2015. "National innovative capacity as determinant in sustainable development: a comparison between the BRICS and G7 countries," International Journal of Innovation and Sustainable Development, Inderscience Enterprises Ltd, vol. 9(3/4), pages 384-405.
    19. Rogge, Nicky, 2018. "Composite indicators as generalized benefit-of-the-doubt weighted averages," European Journal of Operational Research, Elsevier, vol. 267(1), pages 381-392.
    20. Diogo Ferraz & Enzo B. Mariano & Daisy Rebelatto & Dominik Hartmann, 2020. "Linking Human Development and the Financial Responsibility of Regions: Combined Index Proposals Using Methods from Data Envelopment Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 150(2), pages 439-478, July.
    21. Despotis, Dimitris K. & Stamati, Lamprini V. & Smirlis, Yiannis G., 2010. "Data envelopment analysis with nonlinear virtual inputs and outputs," European Journal of Operational Research, Elsevier, vol. 202(2), pages 604-613, April.
    22. Mónica Domínguez-Serrano & Francisco Blancas, 2011. "A Gender Wellbeing Composite Indicator: The Best-Worst Global Evaluation Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 102(3), pages 477-496, July.
    23. Po, Rung-Wei & Guh, Yuh-Yuan & Yang, Miin-Shen, 2009. "A new clustering approach using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 199(1), pages 276-284, November.
    24. 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.
    25. 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.
    26. 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.
    27. Ramanathan, Ramakrishnan, 2006. "Evaluating the comparative performance of countries of the Middle East and North Africa: A DEA application," Socio-Economic Planning Sciences, Elsevier, vol. 40(2), pages 156-167, June.
    28. Aida, Kazuo & Cooper, William W. & Pastor, Jésus T. & Sueyoshi, Toshiyuki, 1998. "Evaluating Water Supply Services in Japan with RAM: a Range-adjusted Measure of Inefficiency," Omega, Elsevier, vol. 26(2), pages 207-232, April.
    29. Stergios Athanassoglou, 2016. "Revisiting Worst-Case DEA for Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 128(3), pages 1259-1272, September.
    30. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    31. Frederik Booysen, 2002. "An Overview and Evaluation of Composite Indices of Development," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 59(2), pages 115-151, August.
    32. 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.
    33. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bahram Fathi & Malihe Ashena & Majid Anisi, 2023. "Efficiency evaluation of sustainability indicators in a two-stage network structure: a Nash bargaining game approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(2), pages 1832-1851, February.
    2. Ayça Özekin, 2024. "Recalculation of the Human Development Index via Multiplicative Data Envelopment Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 175(1), pages 217-245, October.
    3. Reagan Jean Jacques Molu & Wulfran Fendzi Mbasso & Serge Raoul Dzonde Naoussi & Saatong Tsobze Kenfack & Patrice Wira, 2022. "Investigating the Dependency between Electricity and the Human Development Based on Metaheuristic Optimization," International Journal of Energy Economics and Policy, Econjournals, vol. 12(5), pages 55-60, September.
    4. Guo, Chuanyin & Song, Qiwei & Yu, Ming-Miin & Zhang, Jian, 2024. "A digital economy development index based on an improved hierarchical data envelopment analysis approach," European Journal of Operational Research, Elsevier, vol. 316(3), pages 1146-1157.
    5. Rachita Gulati & M. Kabir Hassan & Vincent Charles, 2024. "Developing a New Multidimensional Index of Bank Stability and Its Usage in the Design of Optimal Policy Interventions," Computational Economics, Springer;Society for Computational Economics, vol. 63(4), pages 1281-1325, April.
    6. Nadia ZRELLI BEN HAMIDA, 2024. "Tunisian Inclusive Education: A Multi-Pronged Regional Approach," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 60, pages 141-171.
    7. Youssef Er-Rays & Meriem M’dioud & Hamid Ait-Lemqeddem & Mustapha Ezzahiri, 2024. "Assessing efficiency maternal and child health services in Morocco: data envelopement analysis and Tobit model," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(6), pages 5577-5619, December.
    8. Eduardo Polloni-Silva & Guilherme Augusto Roiz & Enzo Barberio Mariano & Herick Fernando Moralles & Daisy Aparecida Nascimento Rebelatto, 2022. "The Environmental Cost of Attracting FDI: An Empirical Investigation in Brazil," Sustainability, MDPI, vol. 14(8), pages 1-14, April.
    9. Ziwei Shu & Ramón Alberto Carrasco & Javier Portela García-Miguel & Manuel Sánchez-Montañés, 2022. "Multiple Scenarios of Quality of Life Index Using Fuzzy Linguistic Quantifiers: The Case of 85 Countries in Numbeo," Mathematics, MDPI, vol. 10(12), pages 1-28, June.
    10. Fernanda Cortegoso Oliveira Frascareli & Marcelo Furlan & Enzo Barberio Mariano & Daniel Jugend, 2024. "A macro-level circular economy index: theoretical proposal and application in European Union countries," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(7), pages 18297-18331, July.
    11. Anna Łozowicka & Bartłomiej Lach, 2022. "CI-DEA: A Way to Improve the Discriminatory Power of DEA—Using the Example of the Efficiency Assessment of the Digitalization in the Life of the Generation 50+," Sustainability, MDPI, vol. 14(6), pages 1-22, March.

    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. 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.
    2. Diogo Ferraz & Enzo B. Mariano & Daisy Rebelatto & Dominik Hartmann, 2020. "Linking Human Development and the Financial Responsibility of Regions: Combined Index Proposals Using Methods from Data Envelopment Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 150(2), pages 439-478, July.
    3. Victoria Wojcik & Harald Dyckhoff & Marcel Clermont, 2019. "Is data envelopment analysis a suitable tool for performance measurement and benchmarking in non-production contexts?," Business Research, Springer;German Academic Association for Business Research, vol. 12(2), pages 559-595, December.
    4. Annalina Sarra & Eugenia Nissi, 2020. "A Spatial Composite Indicator for Human and Ecosystem Well-Being in the Italian Urban Areas," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 148(2), pages 353-377, April.
    5. 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.
    6. Giménez, Víctor & Ayvar-Campos, Francisco Javier & Navarro-Chávez, José César Lenin, 2017. "Efficiency in the generation of social welfare in Mexico: A proposal in the presence of bad outputs," Omega, Elsevier, vol. 69(C), pages 43-52.
    7. Gobbo, Simone Cristina de Oliveira & Mariano, Enzo Barberio & Gobbo Jr., José Alcides, 2021. "Combining social network and data envelopment analysis: A proposal for a Selection Employment Contracts Effectiveness index in healthcare network applications," Omega, Elsevier, vol. 103(C).
    8. Rezaeiani, M.J. & Foroughi, A.A., 2018. "Ranking efficient decision making units in data envelopment analysis based on reference frontier share," European Journal of Operational Research, Elsevier, vol. 264(2), pages 665-674.
    9. Milica Maricic & Jose A. Egea & Veljko Jeremic, 2019. "A Hybrid Enhanced Scatter Search—Composite I-Distance Indicator (eSS-CIDI) Optimization Approach for Determining Weights Within Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 144(2), pages 497-537, July.
    10. Lampe, Hannes W. & Hilgers, Dennis, 2015. "Trajectories of efficiency measurement: A bibliometric analysis of DEA and SFA," European Journal of Operational Research, Elsevier, vol. 240(1), pages 1-21.
    11. Panagiotis Ravanos & Giannis Karagiannis, 2021. "A VEA Benefit-of-the-Doubt Model for the HDI," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 155(1), pages 27-46, May.
    12. Rogge, Nicky, 2018. "Composite indicators as generalized benefit-of-the-doubt weighted averages," European Journal of Operational Research, Elsevier, vol. 267(1), pages 381-392.
    13. Rachita Gulati & M. Kabir Hassan & Vincent Charles, 2024. "Developing a New Multidimensional Index of Bank Stability and Its Usage in the Design of Optimal Policy Interventions," Computational Economics, Springer;Society for Computational Economics, vol. 63(4), pages 1281-1325, April.
    14. Verbunt, Pim & Rogge, Nicky, 2018. "Geometric composite indicators with compromise Benefit-of-the-Doubt weights," European Journal of Operational Research, Elsevier, vol. 264(1), pages 388-401.
    15. 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.
    16. Kristof Witte & Rui Marques, 2010. "Influential observations in frontier models, a robust non-oriented approach to the water sector," Annals of Operations Research, Springer, vol. 181(1), pages 377-392, December.
    17. Jorge Guardiola & Andrés J. Picazo-Tadeo, 2013. "Weighting life domains with Data Envelopment Analysis," Working Papers 1311, Department of Applied Economics II, Universidad de Valencia.
    18. Tran, Trung Hieu & Mao, Yong & Nathanail, Paul & Siebers, Peer-Olaf & Robinson, Darren, 2019. "Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis," Omega, Elsevier, vol. 85(C), pages 156-165.
    19. Ernest Reig-Martínez, 2013. "Social and Economic Wellbeing in Europe and the Mediterranean Basin: Building an Enlarged Human Development Indicator," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 111(2), pages 527-547, April.
    20. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.

    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:spr:soinre:v:157:y:2021:i:2:d:10.1007_s11205-021-02660-4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.