IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Ranking Inequality: Applications of Multivariate Subset Selection

  • William C. Horrace

    (Center for Policy Research, Maxwell School of Citizenship and Public Affairs, Syracuse University)

  • Joseph T. Marchand

    (Center for Policy Research, Maxwell School of Citizenship and Public Affairs, Syracuse University)

  • Timothy M. Smeeding

    (Center for Policy Research, Maxwell School of Citizenship and Public Affairs, Syracuse University)

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. Within 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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.ecineq.org/milano/WP/ECINEQ2006-21.pdf
Download Restriction: no

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 21.

as
in new window

Length: 47 pages
Date of creation: 2006
Handle: RePEc:inq:inqwps:ecineq2006-21
Contact details of provider: Web page: http://www.ecineq.org
Email:


More information through EDIRC

References listed on IDEAS
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.:

as in new window
  1. William C. Horrace, 2005. "On the ranking uncertainty of labor market wage gaps," Journal of Population Economics, Springer;European Society for Population Economics, vol. 18(1), pages 181-187, 09.
  2. 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.
  3. 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.
  4. 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.
  5. Duclos, Jean-Yves & Makdissi, Paul, 2003. "Restricted and Unrestricted Dominance for Welfare, Inequality and Poverty Orderings," Cahiers de recherche 0303, CIRPEE.
  6. Francesco Farina & Eugenio Peluso & Ernesto Savaglio, 2005. "Ranking opportunity sets in the space of functionings," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 105-116, January.
  7. Frank A Cowell, 2006. "Inequality: Measurement," STICERD - Distributional Analysis Research Programme Papers 86, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  8. Russell Davidson & Emmanuel Flachaire, 2006. "Asymptotic And Bootstrap Inference For Inequality And Poverty Measures," Departmental Working Papers 2005-06, McGill University, Department of Economics.
  9. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
  10. 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.
  11. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
  12. 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.
  13. Duclos, Jean-Yves & Makdissi, Paul, 1999. "Sequential Stochastic Dominance and the Robustness of Poverty Orderings," Cahiers de recherche 9905, Université Laval - Département d'économique.
  14. 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.
  15. Vito Peragine, 2004. "Ranking Income Distributions According to Equality of Opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(1), pages 11-30, April.
  16. Jeffrey A. Mills & Sourushe Zandvakili, 1999. "Statistical Inference via Bootstrapping for Measures of Inequality," Macroeconomics 9902003, EconWPA.
  17. John Weymark, 2003. "Generalized Gini Indices of Equality of Opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 5-24, April.
  18. Frank Cowell, 1998. "Measurement of inequality," LSE Research Online Documents on Economics 2084, London School of Economics and Political Science, LSE Library.
  19. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
  20. Frank Cowell & Maria-Pia Victoria-Feser, 2003. "Distribution-Free Inference for Welfare Indices under Complete and Incomplete Information," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(3), pages 191-219, December.
  21. Francesco Farina & Eugenio Peluso & Ernesto Savaglio, 2004. "Ranking opportunity sets in the space of functionings," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 105-116, August.
  22. E. Schechtman & S. Yitzhaki, 2003. "A Family of Correlation Coefficients Based on the Extended Gini Index," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 129-146, August.
  23. 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 223-227, April.
  24. Frank A. Cowell & Emmanuel Flachaire & Sanghamitra Bandyopadhyay, 2011. "Inequality, Entropy and Goodness of Fit," Working Papers halshs-00591077, HAL.
  25. Dean Jolliffe & Bohdan Krushelnytskyy, 2000. "Bootstrap standard errors for indices of inequality," Stata Technical Bulletin, StataCorp LP, vol. 9(51).
  26. 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.
  27. Karl Mosler, 2005. "Restricted Lorenz dominance of economic inequality in one and many dimensions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 89-103, January.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:inq:inqwps:ecineq2006-21. 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 you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.