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

Author

Listed:
  • Bénédicte Apouey

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Jacques Silber

    (Bar-Ilan University [Israël])

  • Yongsheng Xu

    (Georgia State University - USG - University System of Georgia)

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).

Suggested Citation

  • Bénédicte Apouey & Jacques Silber & Yongsheng Xu, 2020. "On Inequality‐Sensitive and Additive Achievement Measures Based on Ordinal Data," PSE-Ecole d'économie de Paris (Postprint) halshs-02297720, HAL.
    • Handle: RePEc:hal:pseptp:halshs-02297720
    DOI: 10.1111/roiw.12427
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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. Jeffrey R. Bloem & Andrew J. Oswald, 2022. "The Analysis of Human Feelings: A Practical Suggestion for a Robustness Test," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(3), pages 689-710, September.
    3. 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.
    4. 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).
    5. Ramses H. Abul Naga, 2022. "The minimal Hilbert basis of the Hammond order cone," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 191-215, October.
    6. 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.
    7. 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.
    8. 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).

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