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Comparing Distributions of Ordinal Data

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  • Jenkins, Stephen P.

    (London School of Economics)

Abstract

To compare distributions of ordinal data such as individuals' responses on Likert-type scale variables summarizing subjective well-being, we should not apply the toolbox of methods developed for cardinal variables such as income. Instead we should use an analogous toolbox which takes account of the ordinal nature of the responses. This paper reviews these methods and introduces a new Stata command ineqord for undertaking distributional comparisons. As the empirical illustrations demonstrate, ineqord can be used for dominance checks as well as for estimation of indices of polarization and inequality.

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  • Jenkins, Stephen P., 2020. "Comparing Distributions of Ordinal Data," IZA Discussion Papers 13057, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp13057
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    1. Benedicte Apouey, 2007. "Measuring health polarization with self‐assessed health data," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 875-894, September.
    2. Stephen P. Jenkins, 2020. "Better off? Distributional comparisons for ordinal data about personal well-being," New Zealand Economic Papers, Taylor & Francis Journals, vol. 54(3), pages 211-238, September.
    3. 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.
    4. 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.
    5. David M Kaplan & Wei Zhao, 2023. "Comparing latent inequality with ordinal data," The Econometrics Journal, Royal Economic Society, vol. 26(2), pages 189-214.
    6. 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.
    7. Timothy N. Bond & Kevin Lang, 2019. "The Sad Truth about Happiness Scales," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1629-1640.
    8. Ruut Veenhoven, 2005. "Inequality Of Happiness in Nations," Journal of Happiness Studies, Springer, vol. 6(4), pages 351-355, December.
    9. 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.
    10. David Madden, 2010. "Ordinal and cardinal measures of health inequality: an empirical comparison," Health Economics, John Wiley & Sons, Ltd., vol. 19(2), pages 243-250, February.
    11. Wim Kalmijn & Ruut Veenhoven, 2005. "Measuring Inequality of Happiness in Nations: In Search for Proper Statistics," Journal of Happiness Studies, Springer, vol. 6(4), pages 357-396, December.
    12. 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.
    13. Roger Newson, 2003. "Confidence intervals and p-values for delivery to the end user," Stata Journal, StataCorp LP, vol. 3(3), pages 245-269, September.
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    Cited by:

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    2. Jan Delhey & Stephanie Hess & Klaus Boehnke & Franziska Deutsch & Jan Eichhorn & Ulrich Kühnen & Christian Welzel, 2023. "Life Satisfaction During the COVID-19 Pandemic: The Role of Human, Economic, Social, and Psychological Capital," Journal of Happiness Studies, Springer, vol. 24(7), pages 2201-2222, October.
    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. Olivier Bargain & Maria C. Lo Bue & Flaviana Palmisano, 2021. "Dynastic measures of inter-generational mobility with empirical evidence from Indonesia," WIDER Working Paper Series wp-2021-70, World Institute for Development Economic Research (UNU-WIDER).
    5. Enza Simeone, 2023. "Inequality in health status during the COVID-19 in the UK: does the impact of the second lockdown policy matter?," Working Papers 661, ECINEQ, Society for the Study of Economic Inequality.
    6. Fakih, Ali & Makdissi, Paul & Marrouch, Walid & Tabri, Rami V. & Yazbeck, Myra, 2022. "A stochastic dominance test under survey nonresponse with an application to comparing trust levels in Lebanese public institutions," Journal of Econometrics, Elsevier, vol. 228(2), pages 342-358.
    7. Arthur Grimes, 2022. "Measuring Pandemic and Lockdown Impacts on Wellbeing," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(2), pages 409-427, June.

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    More about this item

    Keywords

    inequality; ordinal data; subjective well-being; life satisfaction; Annual Population Survey;
    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

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