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Methods for Constructing Non-Compensatory Composite Indices: A Comparative Study

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  • Matteo Mazziotta
  • Adriano Pareto

Abstract

Composite indices are being more and more used to measure multidimensional phenomena in social sciences. Considerable attention has been devoted in recent years to the methodological issues associated with index construction, such as non-compensability and comparability of the data over time. The aim of this paper is to compare two non-additive approaches: the Mazziotta--Pareto Index (MPI) and the Weighted Product (WP) method. The MPI is a nonlinear composite index that rewards the units with ‘balanced’ values of the individual indicators. The WP method implicitly penalizes the ‘unbalance’ and allows building, for each unit, two closely interrelated composite indices: a ‘static’ index for space comparisons and a ‘dynamic’ index for time comparisons. The MPI entails an equal weighting of the indicators, and only relative time comparisons are allowed. The indices based on the WP method give more weight to low values, and allow for both absolute and relative time comparisons. An application to indicators of well-being in the Italian regions in 2006 and 2011 is presented.

Suggested Citation

  • Matteo Mazziotta & Adriano Pareto, 2016. "Methods for Constructing Non-Compensatory Composite Indices: A Comparative Study," Forum for Social Economics, Taylor & Francis Journals, vol. 45(2-3), pages 213-229, August.
  • Handle: RePEc:taf:fosoec:v:45:y:2016:i:2-3:p:213-229
    DOI: 10.1080/07360932.2014.996912
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    Cited by:

    1. Walheer, Barnabé, 2018. "Aggregation of metafrontier technology gap ratios: the case of European sectors in 1995–2015," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1013-1026.
    2. Sinéad Keogh & Stephen O’Neill & Kieran Walsh, 2021. "Composite Measures for Assessing Multidimensional Social Exclusion in Later Life: Conceptual and Methodological Challenges," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 155(2), pages 389-410, June.
    3. Francesco Tajani & Maria Rosaria Guarini & Francesco Sica & Rossana Ranieri & Debora Anelli, 2022. "Multi-Criteria Analysis and Sustainable Accounting. Defining Indices of Sustainability under Choquet’s Integral," Sustainability, MDPI, vol. 14(5), pages 1-15, February.
    4. Stefania Capecchi & Rosaria Simone, 2019. "A Proposal for a Model-Based Composite Indicator: Experience on Perceived Discrimination in Europe," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(1), pages 95-110, January.
    5. Bertolini, Paola & Pagliacci, Francesco, 2017. "Quality of life and territorial imbalances. A focus on italian inner and rural areas," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 6(2), September.

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