Title
A comparative analysis of Spearman's rho and Kendall's tau in normal and contaminated normal models
Abstract
This paper analyzes the performances of Spearman's rho (SR) and Kendall's tau (KT) with respect to samples drawn from bivariate normal and contaminated normal populations. Theoretical and simulation results suggest that, contrary to the opinion of equivalence between SR and KT in some literature, the behaviors of SR and KT are strikingly different in the aspects of bias effect, variance, mean square error (MSE), and asymptotic relative efficiency (ARE). The new findings revealed in this work provide not only deeper insights into the two most widely used rank-based correlation coefficients, but also a guidance for choosing which one to use under the circumstances where Pearson's product moment correlation coefficient (PPMCC) fails to apply. (C) 2012 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2013
10.1016/j.sigpro.2012.08.005
SIGNAL PROCESSING
Keywords
Field
DocType
Bivariate normal,Correlation theory,Kendall's tau,Pearson's product moment correlation coefficient,Spearman's rho
Efficiency,Correlation coefficient,Pearson product-moment correlation coefficient,Mean squared error,Multivariate normal distribution,Correlation,Equivalence (measure theory),Statistics,Spearman's rank correlation coefficient,Mathematics
Journal
Volume
Issue
ISSN
93
1
0165-1684
Citations 
PageRank 
References 
11
0.58
24
Authors
4
Name
Order
Citations
PageRank
Weichao Xu111815.84
Yunhe Hou211422.07
Yeung Sam Hung315717.42
Zou Yuexian421539.62