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A partial order toolbox for building synthetic indicators of sustainability with ordinal data

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  • Fattore, Marco
  • Alaimo, Leonardo Salvatore

Abstract

This paper designs and implements a statistical toolbox for the construction of synthetic indicators of sustainability and rankings of multidimensional systems of ordinal variables. The toolbox employs results from partial order theory to provide a purely ordinal way to perform the classical steps of indicator construction (i.e., with neither quantification nor aggregation of the input variables) and thus fills a gap in the statistical literature. “Ordinal” non-aggregative procedures are developed to score statistical units and assess the reliability of the final rankings as well as account for exogenous information relating to variable importance. The toolbox is introduced and shown in action through the real example of Sustainable Development Goal 16 (Peace, Justice, and Strong Institutions), specifically as it relates to Political Pluralism and Participation in North and South American countries.

Suggested Citation

  • Fattore, Marco & Alaimo, Leonardo Salvatore, 2023. "A partial order toolbox for building synthetic indicators of sustainability with ordinal data," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
  • Handle: RePEc:eee:soceps:v:88:y:2023:i:c:s0038012123001234
    DOI: 10.1016/j.seps.2023.101623
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    1. Leonardo Salvatore Alaimo & Alberto Arcagni & Marco Fattore & Filomena Maggino & Valeria Quondamstefano, 2022. "Measuring Equitable and Sustainable Well-Being in Italian Regions: The Non-aggregative Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 161(2), pages 711-733, June.
    2. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
    3. Venera Tomaselli & Mario Fordellone & Maurizio Vichi, 2021. "Building Well-Being Composite Indicator for Micro-Territorial Areas Through PLS-SEM and K-Means Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(2), pages 407-429, January.
    4. Noraini Noor & Anjli Gandhi & Ismahalil Ishak & Saodah Wok, 2014. "Development of Indicators for Family Well-Being in Malaysia," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 115(1), pages 279-318, January.
    5. Stefania M. L. Rimoldi & Alberto Arcagni & Marco Fattore & Laura Terzera, 2022. "Social and Material Vulnerability of the Italian Municipalities: Comparing Alternative Approaches," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 161(2), pages 523-540, June.
    6. Enrico di Bella & Luca Gandullia & Lucia Leporatti & Marcello Montefiori & Patrizia Orcamo, 2018. "Ranking and Prioritization of Emergency Departments Based on Multi-indicator Systems," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(3), pages 1089-1107, April.
    7. Victoria Vicario-Modroño & Rosa Gallardo-Cobos & Pedro Sánchez-Zamora, 2023. "Sustainability evaluation of olive oil mills in Andalusia (Spain): a study based on composite indicators," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(7), pages 6363-6392, July.
    8. Saaty, Thomas L., 1990. "How to make a decision: The analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 48(1), pages 9-26, September.
    9. Natale Carlo Lauro & Maria Gabriella Grassia & Rosanna Cataldo, 2018. "Model Based Composite Indicators: New Developments in Partial Least Squares-Path Modeling for the Building of Different Types of Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(2), pages 421-455, January.
    10. Peter Schönemann, 1971. "The minimum average correlation between equivalent sets of uncorrelated factors," Psychometrika, Springer;The Psychometric Society, vol. 36(1), pages 21-30, March.
    11. David Madden, 2010. "Ordinal and cardinal measures of health inequality: an empirical comparison," Health Economics, John Wiley & Sons, Ltd., vol. 19(2), pages 243-250, February.
    12. Shizuhiko Nishisato & P. Arri, 1975. "Nonlinear programming approach to optimal scaling of partially ordered categories," Psychometrika, Springer;The Psychometric Society, vol. 40(4), pages 525-548, December.
    13. Laurens Cherchye & Willem Moesen & Nicky Rogge & Tom Puyenbroeck, 2007. "An Introduction to ‘Benefit of the Doubt’ Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 82(1), pages 111-145, May.
    14. Arcagni, Alberto & Avellone, Alessandro & Fattore, Marco, 2022. "Complexity reduction and approximation of multidomain systems of partially ordered data," Computational Statistics & Data Analysis, Elsevier, vol. 173(C).
    15. Lars Carlsen & Rainer Bruggemann, 2021. "Gender Equality in Europe: The Development of the Sustainable Development Goal No. 5 Illustrated by Exemplary Cases," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 158(3), pages 1127-1151, December.
    16. Leonardo Salvatore Alaimo & Alberto Arcagni & Marco Fattore & Filomena Maggino, 2021. "Synthesis of Multi-indicator System Over Time: A Poset-based Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 157(1), pages 77-99, August.
    17. Flavio Comim, 2021. "A Poset-Generalizability Method for Human Development Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 158(3), pages 1179-1198, December.
    18. Marco Fattore, 2016. "Partially Ordered Sets and the Measurement of Multidimensional Ordinal Deprivation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 128(2), pages 835-858, September.
    19. Michael Freudenberg, 2003. "Composite Indicators of Country Performance: A Critical Assessment," OECD Science, Technology and Industry Working Papers 2003/16, OECD Publishing.
    20. Adriana Monte & Gabriella Schoier, 2022. "A Multivariate Statistical Analysis of Equitable and Sustainable Well-Being Over Time," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 161(2), pages 735-750, June.
    21. Diamantopoulos, Adamantios, 2008. "Formative indicators: Introduction to the special issue," Journal of Business Research, Elsevier, vol. 61(12), pages 1201-1202, December.
    22. Paola Annoni & Rainer Bruggemann & Lars Carlsen, 2015. "A multidimensional view on poverty in the European Union by partial order theory," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(3), pages 535-554, March.
    23. Alberto Arcagni & Elisa Barbiano di Belgiojoso & Marco Fattore & Stefania M. L. Rimoldi, 2019. "Multidimensional Analysis of Deprivation and Fragility Patterns of Migrants in Lombardy, Using Partially Ordered Sets and Self-Organizing Maps," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 141(2), pages 551-579, January.
    24. 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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