A Coefficient of Correlation Based on Ratios of Ranks and Anti-ranks
Rank association is a fundamental tool to express dependence for ordinal data. Measures of rank correlation have been developed in several contexts for more than a century and we were able to cite more than thirty of these coefficients, from simple ones to relatively complicated definitions involving one or more systems of weights. However, only a few of these can actually be considered reasonable measures of concordance/discordance. The main drawback with the vast majority of coefficients is their resistance-to-change which appears to be of limited value for the purposes of rank comparisons that are intrinsically robust. In this article, a new non-parametric correlation coefficient is defined that is based on ratios of two ranks. In comparing it with existing coefficients, it was found to be extremely sensitive to permutation patterns.We have illustrated the potential improvement that our index may provide in economic contexts by comparing published results with those obtained through the use of this new index. The success that we have had suggests that our index may have important applications wherever the discriminatory power of the rank correlation coefficient ought to be particularly strong.
Volume (Year): 233 (2013)
Issue (Month): 2 (March)
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- William C. Horrace & Joseph T. Marchand & Timothy M. Smeeding, 2005.
"Ranking Inequality: Applications of Multivariate Subset Selection,"
Center for Policy Research Working Papers
70, Center for Policy Research, Maxwell School, Syracuse University.
- William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," Journal of Economic Inequality, Springer, vol. 6(1), pages 5-32, March.
- William C. Horrace & Joseph T. Marchand & Timothy M. Smeeding, 2006. "Ranking Inequality: Applications of Multivariate Subset Selection," Working Papers 21, ECINEQ, Society for the Study of Economic Inequality.
- Croux, C. & Dehon, C., 2010. "Influence Functions of the Spearman and Kendall Correlation Measures," Discussion Paper 2010-40, Tilburg University, Center for Economic Research.
- Neumark, David & Postlewaite, Andrew, 1998.
"Relative income concerns and the rise in married women's employment,"
Journal of Public Economics,
Elsevier, vol. 70(1), pages 157-183, October.
- David Neumark & Andrew Postlewaite, 1995. "Relative Income Concerns and the Rise in Married Women's Employment," NBER Working Papers 5044, National Bureau of Economic Research, Inc.
- Roll, Richard, 1978. "Ambiguity when Performance is Measured by the Securities Market Line," Journal of Finance, American Finance Association, vol. 33(4), pages 1051-69, September.
- Davidson, R. & Duclos, J.-Y., 1998.
"Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality,"
98a14, Universite Aix-Marseille III.
- 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.
- Davidson, Russell & Duclos, Jean-Yves, 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Cahiers de recherche 9805, Université Laval - Département d'économique.
- Majumder, Rajarshi, 2010. "Intergenerational mobility in educational & occupational attainment: a comparative study of social classes in India," MPRA Paper 40939, University Library of Munich, Germany.
- Christophe Croux & Catherine Dehon, 2010. "Influence functions of the Spearman and Kendall correlation measures," Statistical Methods and Applications, Springer, vol. 19(4), pages 497-515, November.
- Vito Peragine, 2004. "Ranking Income Distributions According to Equality of Opportunity," Journal of Economic Inequality, Springer, vol. 2(1), pages 11-30, April.
- Maurizio Brizzi, 1992. "Misure di variabilità, concentrazione e dissomiglianza come sintesi di rapporti," Quaderni di Dipartimento 2, Department of Statistics, University of Bologna.
- Robert J. Hill, 1999. "Comparing Price Levels across Countries Using Minimum-Spanning Trees," The Review of Economics and Statistics, MIT Press, vol. 81(1), pages 135-142, February.
- Michael Gapen & Dale Gray & Cheng Hoon Lim & Yingbin Xiao, 2008. "Measuring and Analyzing Sovereign Risk with Contingent Claims," IMF Staff Papers, Palgrave Macmillan, vol. 55(1), pages 109-148, April.
- Korhonen, Pekka & Siljamaki, Aapo, 1998. "Ordinal principal component analysis theory and an application," Computational Statistics & Data Analysis, Elsevier, vol. 26(4), pages 411-424, February.
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