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On The Cardinal Measurement Of Health Inequality When Only Ordinal Information Is Available On Individual Health Status

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  • Adi Lazar
  • Jacques Silber

Abstract

This paper suggests new indices of health inequality which may be used when only ordinal information is available on individual health status. We borrow ideas from the literature on the measurement of occupational or residential segregation and show that indices of ordinal segregation which have been recently proposed may be also applied to the measurement of health inequality. We also prove that these indices satisfy four axioms introduced to measure inequality with ordered response health data so that the new indices presented in this paper are consistent with the inequality ordering proposed by Allison and Foster. We also suggest an extension of the family of indices proposed by Abul Naga and Yalcin. Copyright © 2011 John Wiley & Sons, Ltd.

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  • Adi Lazar & Jacques Silber, 2013. "On The Cardinal Measurement Of Health Inequality When Only Ordinal Information Is Available On Individual Health Status," Health Economics, John Wiley & Sons, Ltd., vol. 22(1), pages 106-113, January.
  • Handle: RePEc:wly:hlthec:v:22:y:2013:i:1:p:106-113
    DOI: 10.1002/hec.1821
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    References listed on IDEAS

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    1. Naga, Ramses H. Abul & Yalcin, Tarik, 2010. "Median Independent Inequality Orderings," SIRE Discussion Papers 2010-118, Scottish Institute for Research in Economics (SIRE).
    2. Abul Naga, Ramses H. & Yalcin, Tarik, 2008. "Inequality measurement for ordered response health data," Journal of Health Economics, Elsevier, vol. 27(6), pages 1614-1625, December.
    3. David Madden, 2010. "Ordinal and cardinal measures of health inequality: an empirical comparison," Health Economics, John Wiley & Sons, Ltd., vol. 19(2), pages 243-250, February.
    4. Allison, R. Andrew & Foster, James E., 2004. "Measuring health inequality using qualitative data," Journal of Health Economics, Elsevier, vol. 23(3), pages 505-524, May.
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    Cited by:

    1. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    2. Bénédicte Apouey & Jacques Silber & Yongsheng Xu, 2020. "On Inequality‐Sensitive and Additive Achievement Measures Based on Ordinal Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 66(2), pages 267-286, June.
    3. Paul Makdissi & Myra Yazbeck, 2014. "Robust Wagstaff Orderings of Distributions of Self-Reported Health Status," Discussion Papers Series 533, School of Economics, University of Queensland, Australia.
    4. Bénédicte H. Apouey & Jacques Silber, 2016. "Performance and Inequality in Health: A Comparison of Child and Maternal Health across Asia," Research on Economic Inequality, in: John A. Bishop & Juan Gabriel Rodríguez (ed.), Inequality after the 20th Century: Papers from the Sixth ECINEQ Meeting, volume 24, pages 181-214, Emerald Publishing Ltd.
    5. David M. Kaplan & Longhao Zhuo, 2018. "Comparing latent inequality with ordinal data," Working Papers 1816, Department of Economics, University of Missouri, revised Feb 2019.
    6. Bénédicte H. Apouey & Jacques Silber, 2013. "Inequality and bi-polarization in socioeconomic status and health: Ordinal approaches," Working Papers halshs-00850014, HAL.
    7. Gaston Yalonetzky, 2016. "Robust inequality comparisons based on ordinal attributes with Kolm-independent measures," Economics Bulletin, AccessEcon, vol. 36(4), pages 2203-2208.
    8. 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.
    9. 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.
    10. 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.
    11. Paul Makdissi & Myra Yazbeck, 2017. "Robust rankings of socioeconomic health inequality using a categorical variable," Health Economics, John Wiley & Sons, Ltd., vol. 26(9), pages 1132-1145, September.
    12. Guangming Lv & Yang Wang & Yongsheng Xu, 2015. "On a new class of measures for health inequality based on ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(3), pages 465-477, September.
    13. SILBER, Jacques & XU, Yongsheng, 2016. "The Health Equivalent Adjusted Level (HEAL): Taking an Ordinal Approach to the Measurement of a Society's Health Achievements," Discussion paper series HIAS-E-31, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    14. Seth,Suman & Yalonetzky,Gaston, 2020. "Assessing Deprivation with an Ordinal Variable : Theory and Application to Sanitation Deprivation in Bangladesh," Policy Research Working Paper Series 9120, The World Bank.
    15. 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.
    16. 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.
    17. Deutsch, Joseph & Silber, Jacques & Wan, Guanghua & Zhao, Mengxue, 2020. "Asset indexes and the measurement of poverty, inequality and welfare in Southeast Asia," Journal of Asian Economics, Elsevier, vol. 70(C).
    18. Sandip Sarkar & Sattwik Santra, 0. "Extending the approaches to polarization ordering of ordinal variables," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 0, pages 1-20.
    19. Gaston Yalonetzky, 2016. "Robust ordinal inequality comparisons with Kolm-independent measures," Working Papers 401, ECINEQ, Society for the Study of Economic Inequality.
    20. Vanesa Jorda & Borja López-Noval & José María Sarabia, 2019. "Distributional Dynamics of Life Satisfaction in Europe," Journal of Happiness Studies, Springer, vol. 20(4), pages 1015-1039, April.
    21. Alessio Fusco & Jacques Silber, 2014. "On social polarization and ordinal variables: the case of self-assessed health," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 15(8), pages 841-851, November.

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