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An automatic-democratic approach to weight setting for the new human development index

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  • Chris Tofallis

Abstract

Perhaps the most difficult aspect of constructing a multi-dimensional index is that of choosing weights for the components. This problem is often bypassed by adopting the ‘agnostic’ option of equal weights, as in the human development index. This is an annual ranking of countries produced by the United Nations Development Programme based on life expectancy, education, and per capita gross national income. These three dimensions are now aggregated multiplicatively. Whatever weights (exponents) are chosen for these dimensions, some nations will feel disadvantaged. To avoid the use of arbitrary weights, we propose for consideration a two-step approach: (1) find the most advantageous set of weights for each nation in turn, and (2) regress the associated optimal scores on the underlying indicators to find a single weight set. This approach has the properties of non-subjectivity, fairness, and convenience. The result is that the highest weight is placed on the life expectancy dimension. Copyright Springer-Verlag 2013

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  • 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.
    • Handle: RePEc:spr:jopoec:v:26:y:2013:i:4:p:1325-1345
    DOI: 10.1007/s00148-012-0432-x
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    1. Carmen Herrero & Ricardo Martínez & Antonio Villar, 2010. "Multidimensional Social Evaluation: An Application To The Measurement Of Human Development," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(3), pages 483-497, September.
    2. Grimm, Michael & Harttgen, Kenneth & Klasen, Stephan & Misselhorn, Mark, 2008. "A Human Development Index by Income Groups," World Development, Elsevier, vol. 36(12), pages 2527-2546, December.
    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. Stéphane Blancard & Jean-François Hoarau, 2011. "Optimizing the new formulation of the United Nations' human development index: An empirical view from data envelopment analysis," Economics Bulletin, AccessEcon, vol. 31(1), pages 989-1003.
    6. 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.
    7. Koen Decancq & María Ana Lugo, 2013. "Weights in Multidimensional Indices of Wellbeing: An Overview," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 7-34, January.
    8. Shyamal Chowdhury & Lyn Squire, 2006. "Setting weights for aggregate indices: An application to the commitment to development index and human development index," Journal of Development Studies, Taylor & Francis Journals, vol. 42(5), pages 761-771.
    9. Jeni Klugman & Francisco Rodríguez & Hyung-Jin Choi, 2011. "The HDI 2010: new controversies, old critiques," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 249-288, June.
    10. Georges Nguefack-Tsague & Stephan Klasen & Walter Zucchini, 2011. "On Weighting the Components of the Human Development Index: A Statistical Justification," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 12(2), pages 183-202.
    11. McDonald, John, 2009. "Using least squares and tobit in second stage DEA efficiency analyses," European Journal of Operational Research, Elsevier, vol. 197(2), pages 792-798, September.
    12. Koen Decancq & Maria Ana Lugo, 2008. "Setting Weights in Multidimensional Indices of Well-Being," OPHI Working Papers 18, Queen Elizabeth House, University of Oxford.
    13. Chris Tofallis, 2010. "Multicriteria Ranking Using Weights Which Minimize the Score Range," Lecture Notes in Economics and Mathematical Systems, in: Dylan Jones & Mehrdad Tamiz & Jana Ries (ed.), New Developments in Multiple Objective and Goal Programming, pages 133-140, Springer.
    14. Morse, Stephen, 2003. "For better or for worse, till the human development index do us part?," Ecological Economics, Elsevier, vol. 45(2), pages 281-296, June.
    15. Høyland, Bjørn & Moene, Karl & Willumsen, Fredrik, 2012. "The tyranny of international index rankings," Journal of Development Economics, Elsevier, vol. 97(1), pages 1-14.
    16. Charnes, A. & Cooper, W. W. & Seiford, L. & Stutz, J., 1982. "A multiplicative model for efficiency analysis," Socio-Economic Planning Sciences, Elsevier, vol. 16(5), pages 223-224.
    17. Niels Lind, 2010. "A Calibrated Index of Human Development," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(2), pages 301-319, September.
    18. Desai, Meghnad, 1991. "Human development : Concepts and measurement," European Economic Review, Elsevier, vol. 35(2-3), pages 350-357, April.
    19. Sagar, Ambuj D. & Najam, Adil, 1998. "The human development index: a critical review," Ecological Economics, Elsevier, vol. 25(3), pages 249-264, June.
    20. Mark McGillivray & Nora Markova, 2010. "Global Inequality in Well-being Dimensions," Journal of Development Studies, Taylor & Francis Journals, vol. 46(2), pages 371-378.
    21. Reiter, S.L. & Steensma, H. Kevin, 2010. "Human Development and Foreign Direct Investment in Developing Countries: The Influence of FDI Policy and Corruption," World Development, Elsevier, vol. 38(12), pages 1678-1691, December.
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