On the comparison of the Spearman and Kendall metrics between linear orders

Discrete Mathematics

Volumn 192, Issue 1-3, 1998, Pages 281-292

  Monjardet, B ^a  

^a UNIVERSITÉ PARIS 1 PANTHÉON SORBONNE   (France)

Author keywords

Daniels' inequality; Kendall's tau; Linear order; Metric; Permutation; Spearman's rho

Indexed keywords

EID: 0042137233     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(98)00076-4     Document Type: Article

References (12)

1. M. Barbut, B. Monjardet, Ordre et Classification, Algèbre et Combinatoire, Hachette, Paris, 1970.
2. H.E. Daniels, Rank correlation and population models, J. Roy. Statist. Soc. B 12 (1950) 171-181.
3. P. Diaconis, Group Representations in Probability and Statistics, Hayward, 1988.
4. P. Diaconis, R.L. Graham, Spearman's footrule as a measure of disarray, J. Roy. Statist. Soc. B 39 (1977) 262-268.
5. J. Durbin, A. Stuart, Inversions and rank correlation coefficients, J. Roy. Statist. Soc. B 13 (1951) 303-309.
6. P.C. Fishburn, Interval orders and Interval Graphs. A Study of Partially Ordered Sets, Wiley, New York, 1985.
7. M.A. Fligner, J.S. Verducci (Eds.), Probability Models and Statistical Analyses for Ranking Data, Lectures Notes in Statistics, vol. 80, Springer, Berlin, 1993.
8. G.Th. Guilbaud, Relation entre les deux coefficients de corrélation de rangs, Math. Sci. Hum. 72 (1980) 45-59.
9. M.G. Kendall, Rank Correlation Methods, Hafner, New York, 1970 (1st ed., 1948).
10. C. Le Conte De Poly-Barbut, Sur les graphes admettant le nombre maximum de sous-graphes à trois sommets et deux arêtes et les paires d'ordres totaux qui maximisent |rho-tau|, European J. Combin. 9 (1988) 575-579.
11. B. Monjardet, Concordance between two linear orders: Kendall and Spearman coefficients revisited, J. Classification, 14 (1997) 269-295.
12. B. Monjardet, C. Le Conte De Poly-Barbut, Valeurs extrémales de la différence des deux coefficients d'accord ρ et τ entre ordres totaux, Comptes Rendus Académie Sciences Paris, sér I, 303 (10) (1986) 483-486.