IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/halshs-02297720.html
   My bibliography  Save this paper

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 des Ponts ParisTech - 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 des Ponts ParisTech - 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
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. anonymous, 1987. "A new measure of the effective exchange rate," Reserve Bank of New Zealand Bulletin, Reserve Bank of New Zealand, vol. 50, june.
    2. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    3. Rolf Aaberge & François Bourguignon & Andrea Brandolini & Francisco H. G. Ferreira & Janet C. Gornick & John Hills & Markus Jäntti & Stephen P. Jenkins & Eric Marlier & John Micklewright & Brian Nolan, 2017. "Tony Atkinson and his Legacy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(3), pages 411-444, September.
    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: Inequality after the 20th Century: Papers from the Sixth ECINEQ Meeting, volume 24, pages 181-214, Emerald Group Publishing Limited.
    5. 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.
    6. 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.
    7. 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.
    8. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    9. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
    10. Benedicte Apouey, 2007. "Measuring health polarization with self‐assessed health data," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 875-894, September.
    11. Frank A. Cowell & Emmanuel Flachaire, 2017. "Inequality with Ordinal Data," Economica, London School of Economics and Political Science, vol. 84(334), pages 290-321, April.
    12. A.B. Atkinson & F. Bourguignon (ed.), 2000. "Handbook of Income Distribution," Handbook of Income Distribution, Elsevier, edition 1, volume 1, number 1.
    13. repec:wly:hlthec:v:25:y:2016:i::p:141-158 is not listed on IDEAS
    14. Mikael Lindahl, 2005. "Estimating the Effect of Income on Health and Mortality Using Lottery Prizes as an Exogenous Source of Variation in Income," Journal of Human Resources, University of Wisconsin Press, vol. 40(1).
    15. Pablo Gluzmann & Leonardo Gasparini, 2017. "International Inequality in Subjective Well-Being: An exploration with the Gallup World Poll," CEDLAS, Working Papers 0216, CEDLAS, Universidad Nacional de La Plata.
    16. Shatakshee Dhongde & Yi Li & Prasanta K. Pattanaik & Yongsheng Xu, 2016. "Binary data, hierarchy of attributes, and multidimensional deprivation," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 14(4), pages 363-378, December.
    17. Christiansen, Terkel & Lauridsen, Jørgen T. & Kifmann, Mathias & Lyttkens, Carl Hampus & Ólafsdóttir, Thorhildur & Valtonen, Hannu, 2018. "Public health, healthcare, health and inequality in health in the Nordic countries," DaCHE discussion papers 2018:2, University of Southern Denmark, Dache - Danish Centre for Health Economics.
    18. Carrie Exton & Conal Smith & Damien Vandendriessche, 2015. "Comparing Happiness across the World: Does Culture Matter?," OECD Statistics Working Papers 2015/4, OECD Publishing.
    19. Ravallion, Martin & Himelein, Kristen & Beegle, Kathleen, 2013. "Can subjective questions on economic welfare be trusted ? evidence for three developing countries," Policy Research Working Paper Series 6726, The World Bank.
    20. Cowell, F.A., 2000. "Measurement of inequality," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 2, pages 87-166, Elsevier.
    21. Wagstaff, Adam, 2002. "Inequality aversion, health inequalities and health achievement," Journal of Health Economics, Elsevier, vol. 21(4), pages 627-641, July.
    22. Hicks, Norman & Streeten, Paul, 1979. "Indicators of development: The search for a basic needs yardstick," World Development, Elsevier, vol. 7(6), pages 567-580, June.
    23. Rolf Aaberge & François Bourguignon & Andrea Brandolini & Francisco H. G. Ferreira & Janet C. Gornick & John Hills & Markus Jäntti & Stephen P. Jenkins & Eric Marlier & John Micklewright & Brian Nolan, 2017. "Tony Atkinson and his Legacy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(3), pages 411-444, September.
    24. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    25. Max Coveney & Pilar García‐Gómez & Eddy Van Doorslaer & Tom Van Ourti, 2016. "Health Disparities by Income in Spain Before and After the Economic Crisis," Health Economics, John Wiley & Sons, Ltd., vol. 25(S2), pages 141-158, November.
    26. 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.
    27. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    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. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Suman Seth & Gaston Yalonetzky, 2021. "Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh," The World Bank Economic Review, World Bank, vol. 35(3), pages 793-811.
    3. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Temi di discussione (Economic working papers) 976, Bank of Italy, Economic Research and International Relations Area.
    4. Valérie Bérenger & Jacques Silber, 2022. "On the Measurement of Happiness and of its Inequality," Journal of Happiness Studies, Springer, vol. 23(3), pages 861-902, March.
    5. 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.
    6. Rolf Aaberge & François Bourguignon & Andrea Brandolini & Francisco H. G. Ferreira & Janet C. Gornick & John Hills & Markus Jäntti & Stephen P. Jenkins & Eric Marlier & John Micklewright & Brian Nolan, 2017. "Tony Atkinson and his Legacy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(3), pages 411-444, September.
    7. Mohammad Abu-Zaineh & Ramses H. Abul Naga, 2019. "Bread and Social Justice: Measurement of Social Welfare and Inequalities Using Anthropometrics," AMSE Working Papers 1930, Aix-Marseille School of Economics, France.
    8. 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).
    9. 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.
    10. James Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster–Greer–Thorbecke (FGT) poverty measures: 25 years later," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 491-524, December.
    11. 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.
    12. Bénédicte Apouey & Jacques Silber, 2013. "Inequality and Bi-Polarization in Socioeconomic Status and Health: Ordinal Approaches," Research on Economic Inequality, in: Health and Inequality, volume 21, pages 77-109, Emerald Group Publishing Limited.
    13. 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: Inequality after the 20th Century: Papers from the Sixth ECINEQ Meeting, volume 24, pages 181-214, Emerald Group Publishing Limited.
    14. Erreygers, Guido & Van Ourti, Tom, 2011. "Measuring socioeconomic inequality in health, health care and health financing by means of rank-dependent indices: A recipe for good practice," Journal of Health Economics, Elsevier, vol. 30(4), pages 685-694, July.
    15. Bénédicte Apouey & David Madden, 2023. "Health poverty," Chapters, in: Jacques Silber (ed.), Research Handbook on Measuring Poverty and Deprivation, chapter 19, pages 202-211, Edward Elgar Publishing.
    16. Maria Livia ŞTEFĂNESCU, 2015. "Analyzing the health status of the population using ordinal data," Computational Methods in Social Sciences (CMSS), "Nicolae Titulescu" University of Bucharest, Faculty of Economic Sciences, vol. 3(1), pages 18-24, June.
    17. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 33-80, February.
    18. Koen Decancq & María Ana Lugo, 2009. "Measuring inequality of well-being with a correlation-sensitive multidimensional Gini index," Working Papers 124, ECINEQ, Society for the Study of Economic Inequality.
    19. Tugce Cuhadaroglu, 2023. "Evaluating ordinal inequalities between groups," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 21(1), pages 219-231, March.
    20. repec:hal:pseose:halshs-00850014 is not listed on IDEAS
    21. Jones, Andrew M. & Rice, Nigel & Robone, Silvana & Dias, Pedro Rosa, 2011. "Inequality and polarisation in health systems' responsiveness: A cross-country analysis," Journal of Health Economics, Elsevier, vol. 30(4), pages 616-625, July.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:pseptp:halshs-02297720. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Caroline Bauer (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.