A Reduced Posetic Approach to the Measurement of Multidimensional Ordinal Deprivation

Marco Fattore () and Alberto Arcagni ()
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Marco Fattore: University of Milano-Bicocca
Alberto Arcagni: University of Milano-Bicocca

Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, 2018, vol. 136, issue 3, No 10, 1053-1070

Abstract: 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.

Keywords: Multidimensional deprivation; Fuzzy poverty; Partial order theory; Hasse diagram (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (17)

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DOI: 10.1007/s11205-016-1501-4

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