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Inequality with Ordinal Data

Author

Listed:
  • Frank Cowell
  • Emmanuel Flachaire

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

The standard theory of inequality measurement assumes that the equalisand is a cardinal quantity, with known cardinalization. However, one often needs to make inequality comparisons where either the cardinalization is unknown or the underlying data are categorical. We propose an alternative approach to inequality analysis that is rigorous, has a natural interpretation, and embeds both the ordinal data problem and the well-known cardinal data problem. We show how the approach can be applied to the inequality of happiness and of health status.

Suggested Citation

  • Frank Cowell & Emmanuel Flachaire, 2017. "Inequality with Ordinal Data," Post-Print hal-01682346, HAL.
  • Handle: RePEc:hal:journl:hal-01682346
    DOI: 10.1111/ecca.12232
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    References listed on IDEAS

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    1. Betsey Stevenson & Justin Wolfers, 2008. "Economic Growth and Subjective Well-Being: Reassessing the Easterlin Paradox," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 39(1 (Spring), pages 1-102.
    2. Inga Kristoffersen, 2011. "The Subjective Wellbeing Scale: How Reasonable is the Cardinality Assumption?," Economics Discussion / Working Papers 11-15, The University of Western Australia, Department of Economics.
    3. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
    4. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2014. "Ranking Distributions of an Ordinal Attribute," AMSE Working Papers 1450, Aix-Marseille School of Economics, France.
    5. Betsey Stevenson & Justin Wolfers, 2008. "Happiness Inequality in the United States," The Journal of Legal Studies, University of Chicago Press, vol. 37(S2), pages 33-79, June.
    6. Doorslaer, Eddy van & Jones, Andrew M., 2003. "Inequalities in self-reported health: validation of a new approach to measurement," Journal of Health Economics, Elsevier, vol. 22(1), pages 61-87, January.
    7. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    8. Buhong Zheng, 2011. "A new approach to measure socioeconomic inequality in health," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 555-577, December.
    9. Cowell, Frank A. & Kuga, Kiyoshi, 1981. "Additivity and the entropy concept: An axiomatic approach to inequality measurement," Journal of Economic Theory, Elsevier, vol. 25(1), pages 131-143, August.
    10. Angus Deaton, 2008. "Income, Health, and Well-Being around the World: Evidence from the Gallup World Poll," Journal of Economic Perspectives, American Economic Association, vol. 22(2), pages 53-72, Spring.
    11. Frank A. Cowell, 1985. "Measures of Distributional Change: An Axiomatic Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 135-151.
    12. Andrew J. Oswald & Stephen Wu, 2011. "Well-Being across America," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1118-1134, November.
    13. Ada Ferrer-i-Carbonell & Paul Frijters, 2004. "How Important is Methodology for the estimates of the determinants of Happiness?," Economic Journal, Royal Economic Society, vol. 114(497), pages 641-659, July.
    14. Easterlin, Richard A., 1995. "Will raising the incomes of all increase the happiness of all?," Journal of Economic Behavior & Organization, Elsevier, vol. 27(1), pages 35-47, June.
    15. 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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