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

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 correlationincreasing switches and/or median-preserving spreads. For the canonical 2x2 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.

Income-related health transfers principles and orderings of joint distributions of income and health

“…26 When we focus on cigarette consumption, we notice there are no clear patterns of dominance and thus no complete order. 27 More specifically, at 5% significance level, the West dominates the Northeast for all indices obeying pro-poor transfer sensitivity (i.e., Λ 3 π ), and dominates the South for all indices (i.e., Λ 2 ). Also, for the subset passing the upside-down test, the West dominates the Northeast, the Midwest at the second order (i.e., Λ 2 ρ ).…”

“…It is important to note that we chose the most recent year to save on space 27. It is important to note that the rows have lower socioeconomic inequality than the columns.…”

Multidimensional polarization for ordinal data

“…Although this approach has been further studied (Apouey 2007;Abul Naga and Yalcin 2008;Lazar and Silber 2013;Kobus 2015) and is increasingly used in empirical research (Madden 2010;Jones et al 2011;Dutta and Foster 2013;Arrighi et al 2015), it has yet to be developed in some natural directions such as multidimensionality. The very few contributions in this direction (Makdisi and Yazbeck 2014;Sonne Schmidt et al 2016) have limited applicability because they only deal with binary indicators. 1 We construct two multidimensional polarization orderings that are closely related to univariate AF.…”

Multidimensional Inequality Across Three Developed Countries

“…The most general approach for this type of analysis involves searching for stochastic dominance rankings over multivariate distributions. Considerable effort has been expended in developing these techniques (see works by Tsui, 1999;Duclos et al, 2006Duclos et al, , 2011Anderson, 2008;Trannoy, 2011, 2012;Gravel and Moyes, 2012;Pinar et al, 2013;Yalonetzky, 2013;Sonne-Schmidt et al, 2016), which has built upon classic earlier papers by Kolm (1977) and Atkinson and Bourguignon (1982). Dominance results are powerful when they occur and are motivated by the attractive welfare properties they imply.…”