Evaluating ordinal inequalities between groups

Tugce Cuhadaroglu

doi:10.1007/s10888-022-09547-5

Evaluating ordinal inequalities between groups

Tugce Cuhadaroglu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We explore the inequality measurement of a discrete ordinal variable between social groups. We provide an axiomatic characterization for the Net Difference Index (Lieberson: Sociol. Methodol. 7, 276–291 1976), that makes use of rank-domination to evaluate the discrepancy between the distributions of two social groups over ordered categories. Adapting well-known principles of cardinal inequality measurement to the between-group ordinal inequality setting, we show that the Net Difference Index mimics the Gini Index in terms of its relationship to the Lorenz curve, in our setting.

Original language	English
Pages (from-to)	219-231
Number of pages	13
Journal	The Journal of Economic Inequality
Volume	21
Early online date	19 Oct 2022
DOIs	https://doi.org/10.1007/s10888-022-09547-5
Publication status	Published - 1 Mar 2023

Keywords

Net difference index
Between-group inequality
Ordinal inequality
Inequality measurement

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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Cite this

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abstract = "We explore the inequality measurement of a discrete ordinal variable between social groups. We provide an axiomatic characterization for the Net Difference Index (Lieberson: Sociol. Methodol. 7, 276–291 1976), that makes use of rank-domination to evaluate the discrepancy between the distributions of two social groups over ordered categories. Adapting well-known principles of cardinal inequality measurement to the between-group ordinal inequality setting, we show that the Net Difference Index mimics the Gini Index in terms of its relationship to the Lorenz curve, in our setting.",

keywords = "Net difference index, Between-group inequality, Ordinal inequality, Inequality measurement",

author = "Tugce Cuhadaroglu",

note = "Funding: Financial support by the Spanish Ministry of Science and Innovation through grant ECO2008-04756 and FEDER (Grupo Consolidado-C) is gratefully acknowledged.",

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AU - Cuhadaroglu, Tugce

N1 - Funding: Financial support by the Spanish Ministry of Science and Innovation through grant ECO2008-04756 and FEDER (Grupo Consolidado-C) is gratefully acknowledged.

PY - 2023/3/1

Y1 - 2023/3/1

N2 - We explore the inequality measurement of a discrete ordinal variable between social groups. We provide an axiomatic characterization for the Net Difference Index (Lieberson: Sociol. Methodol. 7, 276–291 1976), that makes use of rank-domination to evaluate the discrepancy between the distributions of two social groups over ordered categories. Adapting well-known principles of cardinal inequality measurement to the between-group ordinal inequality setting, we show that the Net Difference Index mimics the Gini Index in terms of its relationship to the Lorenz curve, in our setting.

AB - We explore the inequality measurement of a discrete ordinal variable between social groups. We provide an axiomatic characterization for the Net Difference Index (Lieberson: Sociol. Methodol. 7, 276–291 1976), that makes use of rank-domination to evaluate the discrepancy between the distributions of two social groups over ordered categories. Adapting well-known principles of cardinal inequality measurement to the between-group ordinal inequality setting, we show that the Net Difference Index mimics the Gini Index in terms of its relationship to the Lorenz curve, in our setting.

KW - Net difference index

KW - Between-group inequality

KW - Ordinal inequality

KW - Inequality measurement

U2 - 10.1007/s10888-022-09547-5

DO - 10.1007/s10888-022-09547-5

M3 - Article

SN - 1569-1721

VL - 21

SP - 219

EP - 231

JO - The Journal of Economic Inequality

JF - The Journal of Economic Inequality

ER -

Evaluating ordinal inequalities between groups

Abstract

Keywords

UN SDGs

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