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On the Measurement of the Overall Degree of Income Stratification between Groups

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  • Paul Allanson

Abstract

This paper proposes a new class of indices that measure overall stratification between groups in a population and can be decomposed as population†weighted averages of pairwise indices. The indices capture not only the extent to which groups form well†defined strata in the income distribution but also the scale of the resultant differences in equally distributed equivalent incomes between them, where these two factors play the same role as identification and alienation respectively in the measurement of polarization. The properties of the class as a whole are investigated as well as those of selected members of it: zeroth and first power indices may be interpreted as measuring the overall incidence and depth of stratification respectively, while second and higher power indices members are directly sensitive to the severity of stratification between groups. An illustrative application provides an empirical analysis of global income stratification by regions in 1993.

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  • Paul Allanson, 2018. "On the Measurement of the Overall Degree of Income Stratification between Groups," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(2), pages 388-405, June.
    • Handle: RePEc:bla:revinw:v:64:y:2018:i:2:p:388-405
    DOI: 10.1111/roiw.12290
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    References listed on IDEAS

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    1. Allanson, Paul, 2014. "Income stratification and between-group inequality," Economics Letters, Elsevier, vol. 124(2), pages 227-230.
    2. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    3. Maria Monti & Alessandro Santoro, 2011. "Stratification And Between‐Group Inequality: A New Interpretation," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(3), pages 412-427, September.
    4. James E. Foster & Miguel Székely, 2008. "Is Economic Growth Good For The Poor? Tracking Low Incomes Using General Means," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1143-1172, November.
    5. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    6. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-685, November.
    7. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    8. Branko Milanovic & Shlomo Yitzhak, 2006. "Decomposing World Income Distribution: Does The World Have A Middle Class?," IBT Journal of Business Studies (JBS), Ilma University, Faculty of Management Science, vol. 2(2), pages 88-110.
    9. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    10. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-329, September.
    11. Angela Montanari, 2004. "Linear Discriminant Analysis and Transvariation," Journal of Classification, Springer;The Classification Society, vol. 21(1), pages 71-88, March.
    12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    13. Mookherjee, Dilip & Shorrocks, Anthony F, 1982. "A Decomposition Analysis of the Trend in UK Income Inequality," Economic Journal, Royal Economic Society, vol. 92(368), pages 886-902, December.
    14. Milanovic, Branko & Yitzhaki, Shlomo, 2002. "Decomposing World Income Distribution: Does the World Have a Middle Class?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(2), pages 155-178, June.
    15. Yitzhaki, Shlomo, 1994. "Economic distance and overlapping of distributions," Journal of Econometrics, Elsevier, vol. 61(1), pages 147-159, March.
    16. Chakravarty, Satya Ranjan & Dutta, Bhaskar, 1987. "A note on measures of distance between imcome distributions," Journal of Economic Theory, Elsevier, vol. 41(1), pages 185-188, February.
    17. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November.
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    Cited by:

    1. Paul Allanson, 2020. "Axiomatic derivation of a between-group stratification index for ordinal health and well-being data," Dundee Discussion Papers in Economics 300, Economic Studies, University of Dundee.
    2. Paul Allanson, 2022. "Ordinal health disparities between population subgroups: measurement and multivariate analysis with an application to the North-South divide in England," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(4), pages 841-860, December.

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