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On the Use of Spectral Value Decomposition for the Construction of Composite Indices

Author

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  • Luca Farnia

    (Fondazione Eni Enrico Mattei)

Abstract

High dimensional composite index makes experts’ preferences in set-ting weights a hard task. In the literature, one of the approaches to derive weights from a data set is Principal Component or Factor Analysis that, although conceptually different, they are similar in results when FA is based on Spectral Value Decomposition and rotation is not performed. This works motivates theoretical reasons to derive the weights of the elementary indicators in a composite index when multiple components are retained in the analysis. By Monte Carlo simulation it offers, moreover, the best strategy to identify the number of components to retain.

Suggested Citation

  • Luca Farnia, 2019. "On the Use of Spectral Value Decomposition for the Construction of Composite Indices," Working Papers 2019.08, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2019.08
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    1. Lorenza Campagnolo & Carlo Carraro & Fabio Eboli & Luca Farnia & Ramiro Parrado & Roberta Pierfederici, 2018. "The Ex-Ante Evaluation of Achieving Sustainable Development Goals," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(1), pages 73-116, February.
    2. Martin Ravallion, 2011. "On multidimensional indices of poverty," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 235-248, June.
    3. Biresselioglu, Mehmet Efe & Yelkenci, Tezer & Oz, Ibrahim Onur, 2015. "Investigating the natural gas supply security: A new perspective," Energy, Elsevier, vol. 80(C), pages 168-176.
    4. Berlage, Lodewijk & Terweduwe, Dirk, 1988. "The classification of countries by cluster and by factor analysis," World Development, Elsevier, vol. 16(12), pages 1527-1545, December.
    5. Cruciani, Caterina & Giove, Silvio & Pinar, Mehmet & Sostero, Matteo, 2012. "Constructing the FEEM Sustainability Index: A Choquet-Integral Application," Climate Change and Sustainable Development 130550, Fondazione Eni Enrico Mattei (FEEM).
    6. Ravallion, Martin, 1997. "Good and bad growth: The human development reports," World Development, Elsevier, vol. 25(5), pages 631-638, May.
    7. 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.
    8. Ram, Rati, 1982. "Composite indices of physical quality of life, basic needs fulfilment, and income : A principal component representation," Journal of Development Economics, Elsevier, vol. 11(2), pages 227-247, October.
    9. 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.
    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. John Mann & David Shideler, 2015. "Measuring Schumpeterian activity using a composite indicator," Journal of Entrepreneurship and Public Policy, Emerald Group Publishing, vol. 4(1), pages 57-84, April.
    12. 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.
    13. Gupta, Eshita, 2008. "Oil vulnerability index of oil-importing countries," Energy Policy, Elsevier, vol. 36(3), pages 1195-1211, March.
    14. Paul E. Green & Abba M. Krieger & Yoram Wind, 2001. "Thirty Years of Conjoint Analysis: Reflections and Prospects," Interfaces, INFORMS, vol. 31(3_supplem), pages 56-73, June.
    15. 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.
    16. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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    Cited by:

    1. Farnia, Luca & Cavalli, Laura & Vergalli, Sergio, 2019. "Italian Cities SDGs Composite Index: A Methodological Approach to Measure the Agenda 2030 at Urban Level," ES: Economics for Sustainability 291803, Fondazione Eni Enrico Mattei (FEEM) > ES: Economics for Sustainability.
    2. Luca Farnia & Laura Cavalli & Giula Lizzi & Sergio Vergalli, 2019. "Methodological Insights to Measure the Agenda 2030 at Urban Level in Italy," Sustainability, MDPI, Open Access Journal, vol. 11(17), pages 1-18, August.

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    More about this item

    Keywords

    Composite Index; Weighting; Correlation Matrix; Principal Com-ponent; Factor Analysis;
    All these keywords.

    JEL classification:

    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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