Spearman’s rank correlation coefficient (denoted here by rs) is a nonparametric (distribution-free) rank statistic proposed by Charles Spearman as a measure of the strength of the associations between two variables. It is a measure of a monotone association that is used when the distribution of the data makes Pearson’s correlation coefficient undesirable or misleading. Spearman’s coefficient is...

Kendall Rank Correlation Let (X1, Y1), · · · , (Xn, Yn) be a bivariate random sample of size n. The Pearson correlation coefficient provides an optimal measure of the degree of association between the X’s and the Y ’s when the sample is drawn from a bivariate normal distribution. The Pearson correlation coefficient is reasonably robust for many other distributions as well. The Kendall correlati...

A comparative analysis of the efficiency of correlation (cross-correlation, Tanimoto coefficient and Kendall's rank correlation coefficient) and information (mutual information of Tsallis and Shannon, F-information measure and entropy of the joint probability distribution) measures of image similarity for the synthesis of recursive estimation algorithms is presented for the problem of estimatin...

  Background: One of the factors that can improve self-concept and performance of staff is professional maturity. Professional maturity can also solve the problems of self-concept. The purpose of this paper was to identify the relationship between the dimensions of self-concept and professional maturity.   Materials and Methods: This relative applicable study was ...

Although mixed-integer evolution strategies (MIES) have been successfully applied to optimization of mixed-integer problems, they may encounter challenges when fitness evaluations are time consuming. In this paper, we propose to use a radial-basis-function network (RBFN) trained based on the rank correlation coefficient distance metric to assist MIES. For the distance metric of the RBFN, we mod...

In this paper, we consider correlation coefficient, rank correlation coefficient and cosine similarity measures for evaluating similarity between Homo sapiens and monkeys. We used DNA chromosomes of genome wide genes to determine the correlation between the chromosomal content and evolutionary relationship. The similarity among the H. sapiens and monkeys is measured for a total of 210 chromosom...

This article introduces testforDEP, a portmanteau R package containing several tests and visualization tools to examine independence between two variables. This new package combines classical tests including Pearson’s product moment correlation coefficient method, Kendall’s τ rank correlation coefficient method and Spearman’s ρ rank correlation coefficient method with modern tests consisting of...

[Purpose] This study aimed to determine the reliability and validity of our standing balance assessment index using a hand-held dynamometer (the hand-held dynamometer assessment index) in stroke patients. [Subjects and Methods] The participants were 60 stroke patients with impaired standing balance. Intrarater and interrater reliabilities were evaluated employing the intraclass correlation coef...