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A Reduced Posetic Approach to the Measurement of Multidimensional Ordinal Deprivation

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  • Marco Fattore

    (University of Milano-Bicocca)

  • Alberto Arcagni

    (University of Milano-Bicocca)

Abstract

In this paper, we discuss the existence of particular systems of generators for posets associated to multidimensional systems of ordinal indicators and derive a reduced posetic procedure for the measurement of multidimensional ordinal deprivation. The proposal is motivated by the need to lessen the computational complexity of the original posetic procedure described in Fattore (Soc Indic Res 128(2):835–858, 2015), so as to make it applicable to larger multi-indicator systems, particularly to those comprising many variables scored on “short” scales, as typical in deprivation studies. The reduced procedure computes identification and severity functions based only on so-called lexicographic linear extensions. These are a particular generating system for the basic achievement poset, naturally associated to rankings of deprivation attributes. After motivating this choice, both from an interpretative and a computational point of view, the paper provides some simulated examples, comparing the reduced and the non-reduced procedures.

Suggested Citation

  • Marco Fattore & Alberto Arcagni, 2018. "A Reduced Posetic Approach to the Measurement of Multidimensional Ordinal Deprivation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(3), pages 1053-1070, April.
    • Handle: RePEc:spr:soinre:v:136:y:2018:i:3:d:10.1007_s11205-016-1501-4
    DOI: 10.1007/s11205-016-1501-4
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    References listed on IDEAS

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    1. Sabina Alkire & James Foster, 2011. "Understandings and misunderstandings of multidimensional poverty measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 289-314, June.
    2. 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.
    3. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
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    Cited by:

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    3. Stefania M. L. Rimoldi & Alberto Arcagni & Marco Fattore & Elisa Barbiano di Belgiojoso, 2021. "Targeting Policies for Multidimensional Poverty and Social Fragility Relief Among Migrants in Italy, Using F-FOD Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 157(1), pages 57-75, August.
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    5. Alaimo, Leonardo Salvatore & Ivaldi, Enrico & Landi, Stefano & Maggino, Filomena, 2022. "Measuring and evaluating socio-economic inequality in small areas: An application to the urban units of the Municipality of Genoa," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
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    9. Alberto Arcagni & Laura Cavalli & Marco Fattore, 2021. "Partial Order Algorithms for the Assessment of Italian Cities Sustainability," Working Papers 2021.01, Fondazione Eni Enrico Mattei.
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