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Measuring welfare, inequality and poverty with ordinal variables

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  • Silber, Jacques
  • Yalonetzky, Gaston

Abstract

The key challenge in making distributional comparisons with ordinal data is the lack of commensurability of the distances between the ordered categories. This chapter provides a critical review of the most recent theoretical developments addressing this challenge and providing methods for ethical poverty, welfare, and inequality comparisons with univariate ordered multinomial distributions.

Suggested Citation

  • Silber, Jacques & Yalonetzky, Gaston, 2021. "Measuring welfare, inequality and poverty with ordinal variables," GLO Discussion Paper Series 962, Global Labor Organization (GLO).
  • Handle: RePEc:zbw:glodps:962
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    File URL: https://www.econstor.eu/bitstream/10419/243299/1/GLO-DP-0962.pdf
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    1. Nicolas Gravel & Thierry Marchant & Arunava Sen, 2011. "Comparing Societies with Different Numbers of Individuals on the Basis of Their Average Advantage," Studies in Choice and Welfare, in: Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), Social Ethics and Normative Economics, pages 261-277, Springer.
    2. Alkire, Sabina & Foster, James & Seth, Suman & Santos, Maria Emma & Roche, Jose Manuel & Ballon, Paola, 2015. "Multidimensional Poverty Measurement and Analysis," OUP Catalogue, Oxford University Press, number 9780199689491.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    4. 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.
    5. Sabina Alkire, James E. Foster, Suman Seth, Maria Emma Santos, Jose M. Roche and Paola Ballon, 2015. "Multidimensional Poverty Measurement and Analysis: Chapter 9 - Distribution and Dynamics," OPHI Working Papers ophiwp090_ch9.pdf, Queen Elizabeth House, University of Oxford.
    6. Kobus, Martyna & Miłoś, Piotr, 2012. "Inequality decomposition by population subgroups for ordinal data," Journal of Health Economics, Elsevier, vol. 31(1), pages 15-21.
    7. Sabina Alkire, James E. Foster, Suman Seth, Maria Emma Santos, José M. Roche and Paola Ballon, 2015. "Multidimensional Poverty Measurement and Analysis: Chapter 7 - Data and Analysis," OPHI Working Papers ophiwp088_ch7.pdf, Queen Elizabeth House, University of Oxford.
    8. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    9. Satya R. Chakravarty & Bhargav Maharaj, 2015. "Generalized Gini polarization indices for an ordinal dimension of human well-being," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(2), pages 231-246, June.
    10. Satya R. Chakravarty, 2009. "Inequality, Polarization and Poverty," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-79253-8, July.
    11. Sabina Alkire & James E. Foster & Suman Seth & Maria Emma Santos & Jose M. Roche & Paola Ballon, 2015. "Multidimensional Poverty Measurement and Analysis: Chapter 2 - The Framework," OPHI Working Papers 83, Queen Elizabeth House, University of Oxford.
    12. W. Kalmijn & L. Arends, 2010. "Measures of Inequality: Application to Happiness in Nations," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 99(1), pages 147-162, October.
    13. 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.
    14. Anthony B Atkinson & François Bourguignon, 2014. "Handbook of Income Distribution," PSE-Ecole d'économie de Paris (Postprint) halshs-02923231, HAL.
    15. 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.
    16. Benedicte Apouey, 2007. "Measuring health polarization with self‐assessed health data," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 875-894, September.
    17. James Foster & Michael Wolfson, 2010. "Polarization and the decline of the middle class: Canada and the U.S," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(2), pages 247-273, June.
    18. Sabina Alkire & James E. Foster & Suman Seth & Maria Emma Santos & Jose M. Roche & Paola Ballon, 2015. "Multidimensional Poverty Measurement and Analysis: Chapter 9 - Distribution and Dynamics," OPHI Working Papers 90, Queen Elizabeth House, University of Oxford.
    19. Walter Bossert & William Schworm, 2008. "A Class of Two‐Group Polarization Measures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(6), pages 1169-1187, December.
    20. repec:bla:jpbect:v:2:y:2000:i:3:p:349-63 is not listed on IDEAS
    21. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    22. 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.
    23. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    24. Nanak Kakwani & Jacques Silber (ed.), 2008. "Quantitative Approaches to Multidimensional Poverty Measurement," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-58235-4, October.
    25. Gaston Yalonetzky, 2016. "Robust inequality comparisons based on ordinal attributes with Kolm-independent measures," Economics Bulletin, AccessEcon, vol. 36(4), pages 2203-2208.
    26. Satya R. Chakravarty, 2015. "Inequality, Polarization and Conflict," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, edition 127, number 978-81-322-2166-1, July.
    27. Mauro Mussini, 2018. "On Measuring Polarization For Ordinal Data: An Approach Based On The Decomposition Of The Leti Index," Statistics in Transition New Series, Polish Statistical Association, vol. 19(2), pages 277-296, June.
    28. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    29. 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.
    30. You‐Qiang Wang & Kai‐Yuen Tsui, 2000. "Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-363, July.
    31. Iñaki Permanyer & Conchita D'Ambrosio, 2015. "Measuring Social Polarization with Ordinal and Categorical Data," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 311-327, June.
    32. Martyna Kobus, 2015. "Polarization measurement for ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 275-297, June.
    33. Chrysanthi Hatzimasoura & Christopher J. Bennett, 2011. "Poverty Measurement with Ordinal Data," Working Papers 2011-14, The George Washington University, Institute for International Economic Policy.
    34. Martyna Kobus, 2015. "Erratum to: Polarization measurement for ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(3), pages 485-485, September.
    35. Gaston Yalonetzky, 2012. "Poverty measurement with ordinal variables: A generalization of a recent contribution," Working Papers 246, ECINEQ, Society for the Study of Economic Inequality.
    36. Gaston Yalonetzky, 2016. "Robust ordinal inequality comparisons with Kolm-independent measures," Working Papers 401, ECINEQ, Society for the Study of Economic Inequality.
    37. Mendelson, Haim, 1987. "Quantile-preserving spread," Journal of Economic Theory, Elsevier, vol. 42(2), pages 334-351, August.
    38. 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.
    39. Sabina Alkire, James E. Foster, Suman Seth, Maria Emma Santos, José M. Roche and Paola Ballon, 2015. "Multidimensional Poverty Measurement and Analysis: Chapter 2 - The Framework," OPHI Working Papers ophiwp083_ch2.pdf, Queen Elizabeth House, University of Oxford.
    40. Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), 2011. "Social Ethics and Normative Economics," Studies in Choice and Welfare, Springer, number 978-3-642-17807-8, June.
    41. Sabina Alkire & James E. Foster & Suman Seth & Maria Emma Santos & Jose M. Roche & Paola Ballon, 2015. "Multidimensional Poverty Measurement and Analysis: Chapter 7 - Data and Analysis," OPHI Working Papers 88, Queen Elizabeth House, University of Oxford.
    42. 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. Ramses H. Abul Naga & Christopher Stapenhurst & Gaston Yalonetzky, 2024. "Inferring inequality: Testing for median-preserving spreads in ordinal data," Econometric Reviews, Taylor & Francis Journals, vol. 43(2-4), pages 156-174, April.

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    More about this item

    Keywords

    inequality; ordinal variables; partial ordering; poverty; welfare;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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