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On a Generalized Non-compensatory Composite Index for Measuring Socio-economic Phenomena

Author

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  • Matteo Mazziotta

    (Italian National Institute of Statistics)

  • Adriano Pareto

    (Italian National Institute of Statistics)

Abstract

Composite indices for measuring multidimensional phenomena have become very popular in a variety of economic, social and policy domains. The literature offers a wide range of aggregation methods, all with their pros and cons. The most used are additive methods, but they imply requirements and properties which are often not desirable or difficult to meet. For example, they assume a full substitutability among the components of the index: a deficit in one dimension can be compensated by a surplus in another. In this paper, we consider a non-compensatory composite index for spatial comparisons and its variant for spatio-temporal comparisons. A study of the aggregation function is, for the first time, presented and its main properties are formally defined. As an example of application, a set of individual indicators of well-being for OECD countries is considered and a comparison between the two approaches is provided, in order to show what they offer and how they work.

Suggested Citation

  • Matteo Mazziotta & Adriano Pareto, 2016. "On a Generalized Non-compensatory Composite Index for Measuring Socio-economic Phenomena," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 127(3), pages 983-1003, July.
    • Handle: RePEc:spr:soinre:v:127:y:2016:i:3:d:10.1007_s11205-015-0998-2
    DOI: 10.1007/s11205-015-0998-2
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    References listed on IDEAS

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    1. 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.
    2. Tangian, Andranik S., 2005. "A composite indicator of working conditions in the EU-15 for policy monitoring and analytical purposes," WSI Working Papers 135, The Institute of Economic and Social Research (WSI), Hans Böckler Foundation.
    3. Diamantopoulos, Adamantios & Riefler, Petra & Roth, Katharina P., 2008. "Advancing formative measurement models," Journal of Business Research, Elsevier, vol. 61(12), pages 1203-1218, December.
    4. Coltman, Tim & Devinney, Timothy M. & Midgley, David F. & Venaik, Sunil, 2008. "Formative versus reflective measurement models: Two applications of formative measurement," Journal of Business Research, Elsevier, vol. 61(12), pages 1250-1262, December.
    5. Andrea Saltelli, 2007. "Composite Indicators between Analysis and Advocacy," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 81(1), pages 65-77, March.
    6. Enrico Casadio Tarabusi & Paolo Palazzi, 2004. "An index for sustainable development," Banca Nazionale del Lavoro Quarterly Review, Banca Nazionale del Lavoro, vol. 57(229), pages 185-206.
    7. Claudio Mazziotta & Matteo Mazziotta & Adriano Pareto & Francesco Vidoli, 2010. "La sintesi di indicatori territoriali di dotazione infrastrutturale: metodi di costruzione e procedure di ponderazione a confronto," RIVISTA DI ECONOMIA E STATISTICA DEL TERRITORIO, FrancoAngeli Editore, vol. 2010(1), pages 7-33.
    8. Enrico Casadio Tarabusi & Giulio Guarini, 2013. "An Unbalance Adjustment Method for Development Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 112(1), pages 19-45, May.
    9. Pasquale De Muro & Matteo Mazziotta & Adriano Pareto, 2011. "Composite Indices of Development and Poverty: An Application to MDGs," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 104(1), pages 1-18, October.
    10. 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.
    11. Giuseppe Munda & Michela Nardo, 2009. "Noncompensatory/nonlinear composite indicators for ranking countries: a defensible setting," Applied Economics, Taylor & Francis Journals, vol. 41(12), pages 1513-1523.
    12. Michael Freudenberg, 2003. "Composite Indicators of Country Performance: A Critical Assessment," OECD Science, Technology and Industry Working Papers 2003/16, OECD Publishing.
    13. 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.
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