On the measurement of polarization for ordinal data
Atkinson’s Theorem (Atkinson, 1970) is a classic result in inequality measurement. It establishes Lorenz dominance as a useful criterion for comparative judgements of inequality between distributions. If a Lorenz distribution A dominates distribution B, then all indices in a broad class of measures must confirm A as less unequal than B. Recent research, however, shows that standard inequality theory cannot be applied to ordinal data (Zheng, 2008), such as self-reported health status or educational attainment. A new theory in development (Apouey, 2007; Abul Naga and Yalcin, 2008) measures disparity of ordinal data as polarization. Typically a criterion used to compare distributions is the polarization relation as proposed by Allison and Foster (AF) (2004). We characterize classes of polarization measures equivalent to the AF relation analogously to Atkinson’s original approach.
|Date of creation:||Mar 2014|
|Date of revision:|
|Contact details of provider:|| Web page: http://www.ecineq.org|
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Daniel Kahneman & Alan B. Krueger, 2006. "Developments in the Measurement of Subjective Well-Being," Journal of Economic Perspectives, American Economic Association, vol. 20(1), pages 3-24, Winter.
- Oswald, A.J., 1997.
"Happiness and Economic Performance,"
18, Centre for Economic Performance & Institute of Economics.
- Oswald, Andrew, 1997. "Happiness and Economic Performance," The Warwick Economics Research Paper Series (TWERPS) 478, University of Warwick, Department of Economics.
- Bénédicte H. Apouey, 2007.
"Measuring health polarization with self-assessed health data,"
- Benedicte Apouey, 2007. "Measuring health polarization with self-assessed health data," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 875-894.
- Esteban, Joan & Ray, Debraj, 1994.
"On the Measurement of Polarization,"
Econometric Society, vol. 62(4), pages 819-51, July.
- Esteban, J.M. & Ray, D., 1992. "On the Measurement of Polarization," UFAE and IAE Working Papers 171.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Esteban, J. & Ray, D., 1993. "On the Measurement of Polarization," UFAE and IAE Working Papers 221.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Joan-Maria Esteban & Debraj Ray, 1991. "On the Measurement of Polarization," Boston University - Institute for Economic Development 18, Boston University, Institute for Economic Development.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
- Levy, Frank & Murnane, Richard J, 1992. "U.S. Earnings Levels and Earnings Inequality: A Review of Recent Trends and Proposed Explanations," Journal of Economic Literature, American Economic Association, vol. 30(3), pages 1333-81, September.
- 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.
- Ramses H. Abul Naga & Tarik Yalcin, 2007. "Inequality measurement for ordered response health data," LSE Research Online Documents on Economics 6538, London School of Economics and Political Science, LSE Library.
- Ramses H. Abul Naga & Tarik Yalcin, 2007. "Inequality Measurement forOrdered Response Health Data," STICERD - Distributional Analysis Research Programme Papers 92, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Buhong Zheng, 2011. "A new approach to measure socioeconomic inequality in health," Journal of Economic Inequality, Springer, vol. 9(4), pages 555-577, December.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Kobus, Martyna & Miłoś, Piotr, 2012.
"Inequality decomposition by population subgroups for ordinal data,"
Journal of Health Economics,
Elsevier, vol. 31(1), pages 15-21.
- Martyna Kobus & Piotr Miłoś, 2011. "Inequality decomposition by population subgroups for ordinal data," Working Papers 2011-24, Faculty of Economic Sciences, University of Warsaw.
- Rafael Di Tella & Robert MacCulloch, 2006. "Some Uses of Happiness Data in Economics," Journal of Economic Perspectives, American Economic Association, vol. 20(1), pages 25-46, Winter.
- Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November.
- Wolfson, Michael C, 1997. "Divergent Inequalities: Theory and Empirical Results," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(4), pages 401-21, December.
- 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.
- Hemming, R. & Keen, M. J., 1983. "Single-crossing conditions in comparisons of tax progressivity," Journal of Public Economics, Elsevier, vol. 20(3), pages 373-380, April.
- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
- Wang, You-Qiang & Tsui, Kai-Yuen, 2000. " Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-63.
When requesting a correction, please mention this item's handle: RePEc:inq:inqwps:ecineq2014-325. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maria Ana Lugo)
If references are entirely missing, you can add them using this form.