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Inequality decomposition by population subgroups for ordinal data

Martyna Kobus and Piotr Miłoś ()
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Piotr Miłoś: Faculty of Mathematics, Informatics and Mechanics, University of Warsaw

No 2011-24, Working Papers from Faculty of Economic Sciences, University of Warsaw

Abstract: We present a class of decomposable inequality indices for ordinal data (e.g. self-reported health survey). It is characterized by well-known inequality axioms (e.g. scale invariance) and a decomposability axiom which states that an index can be represented as a function of inequality values in subgroups and subgroup sizes. The only decomposable indices are strictly monotonic transformations of the weighted average of frequencies in categories. Among the indices proposed in the literature only the absolute value index (Abul Naga and Yalcin, 2008; Apouey, 2007) is decomposable. As an empirical illustration we calculate regional contributions to overall health inequality in Switzerland.

Keywords: ordered response health data; inequality measurement; health inequality; ordinal data; decomposition (search for similar items in EconPapers)
JEL-codes: I3 I1 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2011
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http://www.wne.uw.edu.pl/inf/wyd/WP/WNE_WP64.pdf First version, 2011 (application/pdf)

Related works:
Journal Article: Inequality decomposition by population subgroups for ordinal data (2012) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:war:wpaper:2011-24

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