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Ordinal bivariate inequality: concepts and application to child deprivation in Mozambique

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  • Sonne-Schmidt, Christoffer

    (The Danish National Centre for Social Research)

  • Tarp, Finn

    (Department of Economics)

  • Østerdal, Lars Peter

    (Department of Business and Economics)

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 correlation-increasing 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.

Suggested Citation

  • Sonne-Schmidt, Christoffer & Tarp, Finn & Østerdal, Lars Peter, 2015. "Ordinal bivariate inequality: concepts and application to child deprivation in Mozambique," Discussion Papers on Economics 1/2015, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2015_001
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    Cited by:

    1. Marling, Tina Gottschalk & Range, Troels Martin & Sudhölter, Peter & Østerdal, Lars Peter, 2018. "Decomposing bivariate dominance for social welfare comparisons," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 1-8.
    2. M. Azhar Hussain & Nikolaj Siersbæk & Lars Peter Østerdal, 2020. "Multidimensional welfare comparisons of EU member states before, during, and after the financial crisis: a dominance approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 645-686, December.
    3. Khaled, Mohamad A. & Makdissi, Paul & Yazbeck, Myra, 2018. "Income-related health transfers principles and orderings of joint distributions of income and health," Journal of Health Economics, Elsevier, vol. 57(C), pages 315-331.
    4. Nicholas Rohde & Ross Guest, 2018. "Multidimensional Inequality Across Three Developed Countries," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 576-591, September.
    5. Martyna Kobus & Radosław Kurek, 2019. "Multidimensional polarization for ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 17(3), pages 301-317, September.
    6. Martyna Kobus & Marcin Jakubek, 2015. "Youth unemployment and mental health: dominance approach. Evidence from Poland," IBS Working Papers 4/2015, Instytut Badan Strukturalnych.
    7. Fatiha Bennia & Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2022. "Is body weight better distributed among men than among women? A robust normative analysis for France, the UK, and the US," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(1), pages 69-103, January.
    8. 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.
    9. 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.

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    More about this item

    Keywords

    Qualitative data; two-dimensional first order dominance; multidimensional inequality; ordinal comparison; childhood deprivation;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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