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Erratum to: Polarization measurement for ordinal data

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  • Martyna Kobus

Abstract

Atkinson’s Theorem (Atkinson J. Econ. Theory 2, 244–263, 1970) is a classic result in inequality measurement. It establishes Lorenz dominance as a useful criterion for comparative judgements of inequality between distributions. If distribution A Lorenz dominates distribution B, then all indices in a broad class of measures must confirm A as less unequal than B. Recent research, however, shows that standard inequality theory cannot be applied to ordinal data (Zheng Res. Econ. Inequal. 16, 177–188, 2008), such as self-reported health status or educational attainment. A new theory in development (Abul Naga and Yalcin J. Health Econ. 27(6), 1614–1625, 2008) measures disparity of ordinal data as polarization. Typically a criterion used to compare distributions is the polarization relation as proposed by Allison and Foster (J. Health Econ. 23(3), 505–524, 2004). We characterize classes of polarization measures equivalent to the AF relation analogously to Atkinson’s original approach. Copyright Springer Science+Business Media New York 2015
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  • Martyna Kobus, 2015. "Erratum to: Polarization measurement for ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(3), pages 485-485, September.
    • Handle: RePEc:kap:jecinq:v:13:y:2015:i:3:p:485-485
    DOI: 10.1007/s10888-015-9309-z
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    Cited by:

    1. Silber, Jacques & Yalonetzky, Gaston, 2021. "Measuring welfare, inequality and poverty with ordinal variables," GLO Discussion Paper Series 962, Global Labor Organization (GLO).
    2. Tugce Cuhadaroglu, 2023. "Evaluating ordinal inequalities between groups," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 21(1), pages 219-231, March.
    3. Kobus, Martyna & Kurek, Radosław, 2018. "Copula-based measurement of interdependence for discrete distributions," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 27-39.
    4. Allanson, Paul, 2017. "Monitoring income-related health differences between regions in Great Britain: A new measure for ordinal health data," Social Science & Medicine, Elsevier, vol. 175(C), pages 72-80.
    5. Stephen P. Jenkins, 2021. "Inequality Comparisons with Ordinal Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(3), pages 547-563, September.
    6. Frank A Cowell & Martyna Kobus & Radoslaw Kurek, 2017. "Welfare and Inequality Comparisons for Uni- and Multi-dimensional Distributions of Ordinal Data," STICERD - Public Economics Programme Discussion Papers 31, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    7. Ramses H. Abul Naga & Christopher Stapenhurst & Gaston Yalonetzky, 2024. "Inferring inequality: Testing for median-preserving spreads in ordinal data," Econometric Reviews, Taylor & Francis Journals, vol. 43(2-4), pages 156-174, April.
    8. Martyna Kobus & Radoslaw Kurek, 2017. "Copula-based measurement of interdependence for discrete distributions," Working Papers 431, ECINEQ, Society for the Study of Economic Inequality.
    9. Debasmita Basu & Sandip Sarkar, 2023. "Polarization in Indian Education: An Ordinal Variable Approach," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(3), pages 569-591, September.
    10. Yalonetzky, Gaston, 2022. "Consistent and inconsistent inequality indices for ordinal variables," Economics Letters, Elsevier, vol. 219(C).
    11. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 33-80, February.
    12. Paul Allanson, 2016. "Monitoring income-related health differences between regions in Great Britain: a new measurement framework," Dundee Discussion Papers in Economics 292, Economic Studies, University of Dundee, revised Jul 2016.
    13. Suman Seth and Gaston Yalonetzky, 2018. "Assessing Deprivation with Ordinal Variables: Depth Sensitivity and Poverty Aversion," OPHI Working Papers ophiwp123.pdf, Queen Elizabeth House, University of Oxford.
    14. Asis Kumar Banerjee, 2025. "Inequality ranking of ordered categorical distributions: A status-based approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 23(1), pages 71-89, March.
    15. Jinjing Ma & Min Lei & Huan Yu & Rui Li, 2023. "A Study on Temporal and Spatial Differences in Women’s Well-Being in an Ecologically Vulnerable Area in Northwest China," Sustainability, MDPI, vol. 15(3), pages 1-24, January.
    16. Gordon Anderson, 2018. "Measuring Aspects of Mobility, Polarization and Convergence in the Absence of Cardinality: Indices Based Upon Transitional Typology," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 887-907, October.
    17. Suman Seth & Gaston Yalonetzky, 2021. "Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh," The World Bank Economic Review, World Bank, vol. 35(3), pages 793-811.
    18. Sandip Sarkar & Sattwik Santra, 2020. "Extending the approaches to polarization ordering of ordinal variables," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(3), pages 421-440, September.
    19. Martyna Kobus & Olga Półchłopek & Gaston Yalonetzky, 2019. "Inequality and Welfare in Quality of Life Among OECD Countries: Non-parametric Treatment of Ordinal Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(1), pages 201-232, May.
    20. Valérie Bérenger & Jacques Silber, 2022. "On the Measurement of Happiness and of its Inequality," Journal of Happiness Studies, Springer, vol. 23(3), pages 861-902, March.

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