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Ranking Inequality: Applications of Multivariate Subset Selection

Inequality measures are often presented in the form of a rank ordering to highlight their relative magnitudes. However, a rank ordering may produce misleading inference, because the inequality measures themselves are statistical estimators with different standard errors, and because a rank ordering necessarily implies multiple comparisons across all measures. Wityhin this setting, if differences between several inequality measures are *simultaneously* and statistically insignificant, the interpretation of the ranking is changed. This study uses a multivariate subset selection procedure to make simultaneous distinctions across inequality measures at a pre-specified confidence level. Three applications of this procedure are explored using country-level data from the Luxembourg Income Study. The findings show that simultaneous precision plays an important role in relative inequality comparisons and should not be ignored.

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Paper provided by Center for Policy Research, Maxwell School, Syracuse University in its series Center for Policy Research Working Papers with number 70.

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Length: 47 pages
Date of creation: Oct 2005
Date of revision:
Handle: RePEc:max:cprwps:70
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  1. Frank A Cowell, 2006. "Inequality: Measurement," STICERD - Distributional Analysis Research Programme Papers 86, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  2. E. Schechtman & S. Yitzhaki, 2003. "A Family of Correlation Coefficients Based on the Extended Gini Index," Journal of Economic Inequality, Springer, vol. 1(2), pages 129-146, August.
  3. Frank Cowell & Maria-Pia Victoria-Feser, 2003. "Distribution-Free Inference for Welfare Indices under Complete and Incomplete Information," Journal of Economic Inequality, Springer, vol. 1(3), pages 191-219, December.
  4. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
  5. Duclos, Jean-Yves & Makdissi, Paul, 2000. "Restricted and Unrestricted Dominance for Welfare, Inequality and Poverty Orderings," Cahiers de recherche 0001, Université Laval - Département d'économique.
  6. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
  7. Jeffrey A. Mills & Sourushe Zandvakili, 1999. "Statistical Inference via Bootstrapping for Measures of Inequality," Macroeconomics 9902003, EconWPA.
  8. Xu, K. & Osberg, L., 1995. "A Distribution-Free Test for Deprivation Dominance," Department of Economics at Dalhousie University working papers archive 95-06, Dalhousie, Department of Economics.
  9. Karl Mosler, 2005. "Restricted Lorenz dominance of economic inequality in one and many dimensions," Journal of Economic Inequality, Springer, vol. 2(2), pages 89-103, January.
  10. Frank Cowell, 1998. "Measurement of inequality," LSE Research Online Documents on Economics 2084, London School of Economics and Political Science, LSE Library.
  11. Raquel Andres & Samuel Calonge, 2005. "Inference on Income Inequality and Tax Progressivity Indices: U-Statistics and Bootstrap Methods," Working Papers 09, ECINEQ, Society for the Study of Economic Inequality.
  12. Frank A. Cowell & Emmanuel Flachaire & Sanghamitra Bandyopadhyay, 2011. "Inequality, Entropy and Goodness of Fit," Working Papers halshs-00591077, HAL.
  13. Ryu, Hang K. & Slottje, Daniel J., 1996. "Two flexible functional form approaches for approximating the Lorenz curve," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 251-274.
  14. John Weymark, 2003. "Generalized Gini Indices of Equality of Opportunity," Journal of Economic Inequality, Springer, vol. 1(1), pages 5-24, April.
  15. repec:kap:jecinq:v:2:y:2004:i:2:p:105-116 is not listed on IDEAS
  16. Xu, Kuan, 2000. "Inference for Generalized Gini Indices Using the Iterated-Bootstrap Method," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(2), pages 223-27, April.
  17. Jean-Yves Duclos & Paul Makdissi, 2005. "Sequential Stochastic Dominance And The Robustness Of Poverty Orderings," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(1), pages 63-87, 03.
  18. Alain Chateauneuf & Patrick Moyes, 2004. "Lorenz non-consistent welfare and inequality measurement," Journal of Economic Inequality, Springer, vol. 2(2), pages 61-87, August.
  19. William C. Horrace, 2005. "On the ranking uncertainty of labor market wage gaps," Journal of Population Economics, Springer, vol. 18(1), pages 181-187, 09.
  20. Russell Davidson & Emmanuel Flachaire, 2006. "Asymptotic And Bootstrap Inference For Inequality And Poverty Measures," Departmental Working Papers 2005-06, McGill University, Department of Economics.
  21. Sarabia, J. -M. & Castillo, Enrique & Slottje, Daniel J., 1999. "An ordered family of Lorenz curves," Journal of Econometrics, Elsevier, vol. 91(1), pages 43-60, July.
  22. Francesco Farina & Eugenio Peluso & Ernesto Savaglio, 2005. "Ranking opportunity sets in the space of functionings," Journal of Economic Inequality, Springer, vol. 2(2), pages 105-116, January.
  23. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
  24. William C. Horrace & Peter Schmidt, 2000. "Multiple comparisons with the best, with economic applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 1-26.
  25. Dean Jolliffe & Bohdan Krushelnytskyy, 2000. "Bootstrap standard errors for indices of inequality," Stata Technical Bulletin, StataCorp LP, vol. 9(51).
  26. Buhmann, Brigitte, et al, 1988. "Equivalence Scales, Well-Being, Inequality, and Poverty: Sensitivity Estimates across Ten Countries Using the Luxembourg Income Study (LIS) Database," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 34(2), pages 115-42, June.
  27. Vito Peragine, 2004. "Ranking Income Distributions According to Equality of Opportunity," Journal of Economic Inequality, Springer, vol. 2(1), pages 11-30, April.
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