KendallRankCorrelation[xlist,ylist]
gives Kendall's rank correlation coefficient 
 for the real-valued vectors xlist and ylist.
    
   KendallRankCorrelation
KendallRankCorrelation[xlist,ylist]
gives Kendall's rank correlation coefficient 
 for the real-valued vectors xlist and ylist.
Details and Options
- To use KendallRankCorrelation, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
 - Kendall's rank correlation coefficient is a measure of association based on the relative order of consecutive elements in the two lists.
 - Kendall's rank correlation coefficient between 
 and 
 is given by 
, where 
 is the number of concordant pairs of observations, 
 is the number of discordant pairs, 
 is the number of ties involving only the 
 variable, and 
 is the number of ties involving only the 
 variable. - A concordant pair of observations 
 and 
 is one such that both 
 and 
 or both 
 and 
. A discordant pair of observations is one such that 
 and 
 or 
 and 
. - The arguments xlist and ylist can be any real‐valued vectors of equal length.
 
See Also
Tech Notes
Related Guides
Text
Wolfram Research (2007), KendallRankCorrelation, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/KendallRankCorrelation.html.
CMS
Wolfram Language. 2007. "KendallRankCorrelation." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/MultivariateStatistics/ref/KendallRankCorrelation.html.
APA
Wolfram Language. (2007). KendallRankCorrelation. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/MultivariateStatistics/ref/KendallRankCorrelation.html
BibTeX
@misc{reference.wolfram_2025_kendallrankcorrelation, author="Wolfram Research", title="{KendallRankCorrelation}", year="2007", howpublished="\url{https://reference.wolfram.com/language/MultivariateStatistics/ref/KendallRankCorrelation.html}", note=[Accessed: 04-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_kendallrankcorrelation, organization={Wolfram Research}, title={KendallRankCorrelation}, year={2007}, url={https://reference.wolfram.com/language/MultivariateStatistics/ref/KendallRankCorrelation.html}, note=[Accessed: 04-November-2025]}