Ordinal Bivariate Inequality: Concepts and Application to Child Deprivation in Mozambique

Christoffer Sonne-Schmidt, Finn Tarp, Lars Peter Østerdal

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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.
Original languageEnglish
JournalReview of Income and Wealth
Issue number3
Pages (from-to)559–573
Number of pages15
Publication statusPublished - Sept 2016
Externally publishedYes


  • Childhood deprivation
  • Multidimensional inequality
  • Ordinal comparison
  • Qualitative data
  • Two-dimensional first order dominance

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