Asymptotic Properties of Spearman’s Rank Correlation for Variables with Finite Support

作者: Petra Ornstein , Johan Lyhagen

DOI: 10.1371/JOURNAL.PONE.0145595

关键词:

摘要: The asymptotic variance and distribution of Spearman’s rank correlation have previously been known only under independence. For variables with finite support, the population version has derived. Using this result, we show convergence to a normal irrespectively dependence, derive variance. A small simulation study indicates that properties are practical importance.

参考文章(7)
Joseph Cavanaugh, Encyclopedia of Statistical Sciences (2nd ed.). Samuel Kotz, Campbell B. Read, N. Balakrishnan, and Brani Vidakovic Journal of the American Statistical Association. ,vol. 102, pp. 1074- 1075 ,(2007)
David E. Hapeman, Categorical Data Analysis Technometrics. ,vol. 33, pp. 241- 241 ,(1991) , 10.1080/00401706.1991.10484817
Johanna Nešlehová, On rank correlation measures for non-continuous random variables Journal of Multivariate Analysis. ,vol. 98, pp. 544- 567 ,(2007) , 10.1016/J.JMVA.2005.11.007
Maurice G. Kendall, Rank correlation methods ,(1948)
D. J. Best, D. E. Roberts, Algorithm AS 89: The Upper Tail Probabilities of Spearman's Rho Applied Statistics. ,vol. 24, pp. 377- 379 ,(1975) , 10.2307/2347111
C. Spearman, The proof and measurement of association between two things. American Journal of Psychology. ,vol. 15, pp. 72- 101 ,(1904) , 10.2307/1412159