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Ordinal Bivariate Inequality: Concepts and Application to Child Deprivation in M ozambique
Author(s) -
SonneSchmidt Christoffer,
Tarp Finn,
Østerdal Lars Peter
Publication year - 2016
Publication title -
review of income and wealth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.024
H-Index - 57
eISSN - 1475-4991
pISSN - 0034-6586
DOI - 10.1111/roiw.12183
Subject(s) - bivariate analysis , categorical variable , inequality , econometrics , ordinal data , mathematics , ordinal regression , population , simple (philosophy) , statistics , mathematical economics , economics , demography , sociology , mathematical analysis , philosophy , epistemology
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 M ozambique.