A rank correlation coefficient resistant to outliers

Journal of the American Statistical Association

Volumn 82, Issue 398, 1987, Pages 656-666

  Gideon, Rudy A ^a   Hollister, Robert A ^b  

^a UNIVERSITY OF MONTANA   (United States)

^b UNIVERSITY OF WISCONSIN OSHKOSH   (United States)

Author keywords

Copula function; Independence testing; Outliers and their effect on correlation coefficients; Permutation group; Robust rank correlation coefficients; Simulated distribution

Indexed keywords

EID: 0040237149     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1987.10478480     Document Type: Article

References (11)

1. Blomqvist, N. (1950), “On a Measure of Dependence Between Two Random Variables,” Annals of Mathematical Statistics, 21, 593–600.
2. Blum, J. R., Kiefer, J., and Rosenblatt, M. (1961), “Distribution-Free Tests of Independence Based on the Sample Distribution Function,” Annals of Mathematical Statistics, 32, 485–498.
3. Conover, W. J. (1980), Practical Nonparametric Statistics, New York: John Wiley.
4. Hájek, J., and Šidak, Z. (1967), Theory of Rank Tests, New York: Academic Press.
5. Hollister, R. A. (1984), “A Correlation Coefficient Based on Maximum Deviation,” unpublished Ph.D. dissertation, University of Montana, Dept. of Mathematical Sciences.
6. Kendall, M. G. (1938), “A New Measure of Rank Correlation,” Biometrika, 30, 81–93.
7. Kruskal, W. (1958), “Ordinal Measures of Association,” Journal of the American Statistical Association, 53, 814–861.
8. Marshall, A. W., and Olkin, I. (1967), “A Multivariate Exponential Distribution,” Journal of the American Statistical Association, 62, 3044.
9. Rényi, A. (1959), “On Measures of Dependence,” Acta Mathematica Academiae Scientiarum Hungaricae, 10, 441–451.
10. Schweizer, B., and Wolfe, E. F. (1981), “On Nonparametric Measures of Dependence for Random Variables,” The Annals of Statistics, 9, 879–885.
11. Spearman, C. E. (1904), “The Proof and Measurement of Association Between Two Things,” American Journal of Psychiatry, 15, 72–101.