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On Inequality‐Sensitive and Additive Achievement Measures Based on Ordinal Data

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  • Bénédicte Apouey
  • Jacques Silber
  • Yongsheng Xu

Abstract

This paper, following earlier work on the measurement of inequality when only ordinal information is available, proposes an axiomatic derivation of a new class of inequality‐sensitive and additive achievement measures. Use is then made of these indices to study health achievement in Europe, using information on self‐assessed health in 30 countries, based on the European Health Interview Survey (wave 2).

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  • 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.
    • Handle: RePEc:bla:revinw:v:66:y:2020:i:2:p:267-286
    DOI: 10.1111/roiw.12427
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    3. Joseph Deutsch & Jacques Silber, 2024. "A summary measure of answers to statements (SMAS) in the case of ordered rating scales," Economics Bulletin, AccessEcon, vol. 44(1), pages 283-294.
    4. Silber, Jacques & Yalonetzky, Gaston, 2021. "Measuring welfare, inequality and poverty with ordinal variables," GLO Discussion Paper Series 962, Global Labor Organization (GLO).
    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. Anderson, Gordon & Fu, Rui & Leo, Teng Wah, 2022. "Health, loneliness and the ageing process in the absence of cardinal measure: Rendering intangibles tangible," The Journal of the Economics of Ageing, Elsevier, vol. 22(C).
    7. 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).
    8. Suman Seth & Gaston Yalonetzky, 2020. "Prioritarian evaluation of well-being with an ordinal variable," Working Papers 531, ECINEQ, Society for the Study of Economic Inequality.

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