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Ordinal Bivariate Inequality: Concepts and Application to Child Deprivation in Mozambique
Authors:Christoffer Sonne‐Schmidt  Finn Tarp  Lars Peter Østerdal
Affiliation:1. The Danish National Centre for Social Research;2. Department of EconomicsUniversity of Copenhagen;3. UNU‐WIDER;4. Department of Business and Economics, Centre of Health Economics Research (COHERE)University of Southern Denmark
Abstract:This paper introduces a concept of inequality comparisons with ordinal bivariate categorical data. In our model, one population is more unequal than another when they have common arithmetic median outcomes and the first can be obtained from the second by correlation‐increasing switches and/or median‐preserving spreads. For the canonical 2 × 2 case (with two binary indicators), we derive a simple operational procedure for checking ordinal inequality relations in practice. As an illustration, we apply the model to childhood deprivation in Mozambique.
Keywords:D63  I32  O15  childhood deprivation  multidimensional inequality  ordinal comparison  qualitative data  two‐dimensional first order dominance
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