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A subgroup dominance-based benefit of the doubt method for addressing rank reversals: A case study of the human development index in Europe

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  • Su, Weihua
  • Chen, Sibo
  • Zhang, Chonghui
  • Li, Kevin W.

Abstract

The benefit of the doubt (BoD) is a non-parametric weighting method that aims to maximize the relative composite indicator value of each decision-making unit (DMU). A well-known issue of BoD-based ranking of DMUs is the rank reversal problem when DMUs are deleted or added. The fundamental reason for rank reversals is that deleting (or adding) a DMU influences the generated weight by changing the frontier surface. To address the rank reversal problem, this paper proposes a subgroup dominance-based BoD model (SD-BoD). Based on the individual weights obtained from a classic BoD model, a dominance-based pairwise comparison mechanism is put forward to ensure comparability of different DMUs. Moreover, motivated by the data envelopment analysis idea, we construct a sequential frontier surface partition technique and establish a DMU ranking framework based on subgroup dominance, which helps reduce weight variation due to DMU addition or deletion. Finally, the effectiveness of the SD-BoD method is illustrated by comparing and analyzing the Human Development Indices of the 28 European regions.

Suggested Citation

  • Su, Weihua & Chen, Sibo & Zhang, Chonghui & Li, Kevin W., 2023. "A subgroup dominance-based benefit of the doubt method for addressing rank reversals: A case study of the human development index in Europe," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1299-1317.
    • Handle: RePEc:eee:ejores:v:307:y:2023:i:3:p:1299-1317
    DOI: 10.1016/j.ejor.2022.11.030
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    1. Paolo Paruolo & Michaela Saisana & Andrea Saltelli, 2013. "Ratings and rankings: voodoo or science?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 176(3), pages 609-634, June.
    2. Blancard, Stéphane & Hoarau, Jean-François, 2013. "A new sustainable human development indicator for small island developing states: A reappraisal from data envelopment analysis," Economic Modelling, Elsevier, vol. 30(C), pages 623-635.
    3. Chu, Junfei & Zhu, Joe, 2021. "Production scale-based two-stage network data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 294(1), pages 283-294.
    4. Triantaphyllou, Evangelos & Yanase, Juri & Hou, Fujun, 2020. "Post-consensus analysis of group decision making processes by means of a graph theoretic and an association rules mining approach," Omega, Elsevier, vol. 94(C).
    5. Oleg Badunenko & Daniel J. Henderson & Subal C. Kumbhakar, 2012. "When, where and how to perform efficiency estimation," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 175(4), pages 863-892, October.
    6. 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).
    7. 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.
    8. 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.
    9. Hassen Gaaloul & Soulef Khalfallah, 2014. "Application of the “Benefit-Of-the-Doubt” Approach for the Construction of a Digital Access Indicator: A Revaluation of the “Digital Access Index”," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(1), pages 45-56, August.
    10. 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.
    11. L Cherchye & W Moesen & N Rogge & T Van Puyenbroeck & M Saisana & A Saltelli & R Liska & S Tarantola, 2008. "Creating composite indicators with DEA and robustness analysis: the case of the Technology Achievement Index," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(2), pages 239-251, February.
    12. Gong, Chengzhu & Gong, Nianjiao & Qi, Rui & Yu, Shiwei, 2020. "Assessment of natural gas supply security in Asia Pacific: Composite indicators with compromise Benefit-of-the-Doubt weights," Resources Policy, Elsevier, vol. 67(C).
    13. Green, Rodney H. & Doyle, John R. & Cook, Wade D., 1996. "Preference voting and project ranking using DEA and cross-evaluation," European Journal of Operational Research, Elsevier, vol. 90(3), pages 461-472, May.
    14. 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.
    15. Hussein Sayed & Ramadan Hamed & Mohamed Ramadan & Samaa Hosny, 2015. "Using Meta-goal Programming for a New Human Development Indicator with Distinguishable Country Ranks," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 123(1), pages 1-27, August.
    16. Rogge, Nicky, 2012. "Undesirable specialization in the construction of composite policy indicators: The Environmental Performance Index," Working Papers 2012/08, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    17. Laurens Cherchye & Willem Moesen & Nicky Rogge & Tom Puyenbroeck, 2007. "An Introduction to ‘Benefit of the Doubt’ Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 82(1), pages 111-145, May.
    18. M. Saisana & A. Saltelli & S. Tarantola, 2005. "Uncertainty and sensitivity analysis techniques as tools for the quality assessment of composite indicators," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 307-323, March.
    19. Liu, Xianliang & Ma, Yonghao, 2021. "A method to analyze the rank reversal problem in the ELECTRE II method," Omega, Elsevier, vol. 102(C).
    20. 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.
    21. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    22. Hussein Sayed & Ramadan Hamed & Samaa Hazem Hosny & Alyaa Hegazy Abdelhamid, 2018. "Avoiding Ranking Contradictions in Human Development Index Using Goal Programming," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 138(2), pages 405-442, July.
    23. Wang, Xiaoting & Triantaphyllou, Evangelos, 2008. "Ranking irregularities when evaluating alternatives by using some ELECTRE methods," Omega, Elsevier, vol. 36(1), pages 45-63, February.
    24. Lisa Bross & Ina Wienand & Steffen Krause, 2020. "Batten Down the Hatches—Assessing the Status of Emergency Preparedness Planning in the German Water Supply Sector with Statistical and Expert-Based Weighting," Sustainability, MDPI, vol. 12(17), pages 1-23, September.
    25. De Witte, Kristof & Schiltz, Fritz, 2018. "Measuring and explaining organizational effectiveness of school districts: Evidence from a robust and conditional Benefit-of-the-Doubt approach," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1172-1181.
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