IDEAS home Printed from https://ideas.repec.org/a/eee/soceps/v81y2022ics0038012120307928.html
   My bibliography  Save this article

Tricks with the BoD model and an application to the e-Government Development Index

Author

Listed:
  • Ravanos, Panagiotis
  • Karagiannis, Giannis

Abstract

In this paper we examine the implications of the ideal and the anti-ideal decision-making units on the Benefit-of-the-Doubt (BoD) model. In particular, we verify that, in the presence of an ideal (anti-ideal) decision-making unit, the efficiency scores of the BoD (inverted BoD) model can be obtained without solving the relevant linear programming problems. In this case, it suffices to choose the largest (smallest) of the element-wise divided component indicators of the evaluated decision-making unit by those of the ideal (anti-ideal) decision-making unit. We then illustrate one practical use of this simple enumeration algorithm by providing empirical results for a BoD-based e-Government Development Index within a traffic-light reporting system.

Suggested Citation

  • Ravanos, Panagiotis & Karagiannis, Giannis, 2022. "Tricks with the BoD model and an application to the e-Government Development Index," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    • Handle: RePEc:eee:soceps:v:81:y:2022:i:c:s0038012120307928
    DOI: 10.1016/j.seps.2020.100955
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0038012120307928
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.seps.2020.100955?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hyeri Choi & Min Jae Park, 2019. "Evaluating the Efficiency of Governmental Excellence for Social Progress: Focusing on Low- and Lower-Middle-Income Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(1), pages 111-130, January.
    2. Forsund, Finn R & Hjalmarsson, Lennart, 1979. "Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Economic Journal, Royal Economic Society, vol. 89(354), pages 294-315, June.
    3. Hideyuki Mizobuchi, 2014. "Measuring World Better Life Frontier: A Composite Indicator for OECD Better Life Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(3), pages 987-1007, September.
    4. Lovell, C. A. Knox & Pastor, Jesus T., 1999. "Radial DEA models without inputs or without outputs," European Journal of Operational Research, Elsevier, vol. 118(1), pages 46-51, October.
    5. Caporaletti, L. E. & Dulá, J. H. & Womer, N. K., 1999. "Performance evaluation based on multiple attributes with nonparametric frontiers," Omega, Elsevier, vol. 27(6), pages 637-645, December.
    6. Giannis Karagiannis, 2017. "On aggregate composite indicators," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 741-746, July.
    7. Charles, Vincent & D'Alessio, Fernando A., 2020. "An envelopment-based approach to measuring regional social progress," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    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. Srijit Mishra & Hippu Salk Kristle Nathan, 2018. "A MANUSH or HUMANS Characterisation of the Human Development Index," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 19(3), pages 398-415, July.
    10. 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.
    11. Färe, Rolf & Karagiannis, Giannis, 2014. "Benefit-of-the-doubt aggregation and the diet problem," Omega, Elsevier, vol. 47(C), pages 33-35.
    12. 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.
    13. Korhonen, Pekka J. & Luptacik, Mikulas, 2004. "Eco-efficiency analysis of power plants: An extension of data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 154(2), pages 437-446, April.
    14. Giannis Karagiannis, 2015. "On structural and average technical efficiency," Journal of Productivity Analysis, Springer, vol. 43(3), pages 259-267, June.
    15. Heinz Ahn & Ludmila Neumann, 2014. "Measuring Effectiveness: A DEA Approach Under Predetermined Targets," International Journal of Business Analytics (IJBAN), IGI Global, vol. 1(1), pages 16-28, January.
    16. 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.
    17. A Zanella & A S Camanho & T G Dias, 2013. "Benchmarking countries’ environmental performance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(3), pages 426-438, March.
    18. Morais, Paulo & Camanho, Ana S., 2011. "Evaluation of performance of European cities with the aim to promote quality of life improvements," Omega, Elsevier, vol. 39(4), pages 398-409, August.
    19. Mehdi Toloo & Madjid Tavana, 2017. "A novel method for selecting a single efficient unit in data envelopment analysis without explicit inputs/outputs," Annals of Operations Research, Springer, vol. 253(1), pages 657-681, June.
    20. Angel Prieto & José ZofIo, 2001. "Evaluating Effectiveness in Public Provision of Infrastructure and Equipment: The Case of Spanish Municipalities," Journal of Productivity Analysis, Springer, vol. 15(1), pages 41-58, January.
    21. Bazargan, Massoud & Vasigh, Bijan, 2003. "Size versus efficiency: a case study of US commercial airports," Journal of Air Transport Management, Elsevier, vol. 9(3), pages 187-193.
    22. Fu-Chiang Yang & Rui-Hsin Kao & Yi-Tui Chen & Yueh-Fei Ho & Cheng-Chung Cho & Shi-Wei Huang, 2018. "A Common Weight Approach to Construct Composite Indicators: The Evaluation of Fourteen Emerging Markets," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 137(2), pages 463-479, June.
    23. 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.
    24. Juan Carlos Martín & Cira Mendoza & Concepción Román, 2017. "A DEA Travel–Tourism Competitiveness Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(3), pages 937-957, February.
    25. 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.
    26. 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.
    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. 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.
    2. 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).
    3. 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.
    4. Giannis Karagiannis, 2017. "On aggregate composite indicators," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 741-746, July.
    5. Giménez, Víctor & Prior, Diego & Thieme, Claudio & Tortosa-Ausina, Emili, 2024. "International comparisons of COVID-19 pandemic management: What can be learned from activity analysis techniques?," Omega, Elsevier, vol. 122(C).
    6. 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.
    7. Nguyen, Trang Thi Thuy & Pham, Binh Thai & Prior, Diego & van Hemmen, Stefan, 2022. "Performance of tax simplification around the world: A panel frontier analysis," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    8. Laurens CHERCHYE & Willem MOESEN & Nicky ROGGE & Tom VAN PUYENBROECK, 2009. "Constructing a knowledge economy composite indicator with imprecise data," Working Papers of Department of Economics, Leuven ces09.15, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    9. Gulati, Rachita & Kattumuri, Ruth & Kumar, Sunil, 2020. "A non-parametric index of corporate governance in the banking industry: An application to Indian data," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    10. Claudio Thieme & Víctor Giménez & Diego Prior & Emili Tortosa-Ausina, 2023. "Health vs. Wealth: A Cross-country Analysis of Managerial Effectiveness of the COVID-19," Working Papers 2023/10, Economics Department, Universitat Jaume I, Castellón (Spain).
    11. Färe, Rolf & Karagiannis, Giannis & Hasannasab, Maryam & Margaritis, Dimitris, 2019. "A benefit-of-the-doubt model with reverse indicators," European Journal of Operational Research, Elsevier, vol. 278(2), pages 394-400.
    12. Amado, Carla A.F. & São José, José M.S. & Santos, Sérgio P., 2016. "Measuring active ageing: A Data Envelopment Analysis approach," European Journal of Operational Research, Elsevier, vol. 255(1), pages 207-223.
    13. Giannis Karagiannis & Georgia Paschalidou, 2017. "Assessing research effectiveness: a comparison of alternative nonparametric models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 456-468, April.
    14. 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.
    15. Lafuente, Esteban & Araya, Manuel & Leiva, Juan Carlos, 2022. "Assessment of local competitiveness: A composite indicator analysis of Costa Rican counties using the ‘Benefit of the Doubt’ model," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    16. Färe, Rolf & Karagiannis, Giannis, 2014. "Benefit-of-the-doubt aggregation and the diet problem," Omega, Elsevier, vol. 47(C), pages 33-35.
    17. Khatab Alqararah, 2023. "Assessing the robustness of composite indicators: the case of the Global Innovation Index," Journal of Innovation and Entrepreneurship, Springer, vol. 12(1), pages 1-22, December.
    18. Giuseppe Coco & Raffaele Lagravinese & Giuliano Resce, 2020. "Beyond the weights: a multicriteria approach to evaluate inequality in education," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(4), pages 469-489, December.
    19. Vincenzo Patrizii & Anna Pettini & Giuliano Resce, 2017. "The Cost of Well-Being," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 133(3), pages 985-1010, September.
    20. D’Inverno, Giovanna & De Witte, Kristof, 2020. "Service level provision in municipalities: A flexible directional distance composite indicator," European Journal of Operational Research, Elsevier, vol. 286(3), pages 1129-1141.

    More about this item

    Keywords

    BoD model; Ideal and anti-ideal DMU; e-government development index; Traffic-light reporting system;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

    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:eee:soceps:v:81:y:2022:i:c:s0038012120307928. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/seps .

    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.