Probabilities for Spearman rank correlation coefficients

Spearman Rank Correlation Coefficient

The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets

This paper is a continuation of our previous work on Pearson’s coefficient r and we discuss here the concept of the Spearman correlation coefficient and the Kendall correlation coefficient between Atanassov’s intuitionistic fuzzy sets (A-IFSs, for short) to measure the degree of association between the A-IFSs when the assumption that the data distributions are normal is not valid or when data a...

Bravais-Pearson and Spearman correlation coefficients: meaning, test of hypothesis and confidence interval.

many other biomedical journals dealing with cancer research, often publishes papers whose principal aim it is to test the association between quantative measurements of biological variables. When these are expressed on continuous scales, the statistics most frequently adopted to test their association are the Bravais-Pearson (parametric) and the Spearman (non-parametric) correlation coefficient...

Right-invariant generalized metrics applied to rank correlation coefficients

In this paper we investigate properties of rank correlation coefficients that can be derived from right-invariant generalized metrics on the symmetric group. We prove some new inequalities between a number of generalized metrics, and we characterize the sample sizes for which several (right-invariant) rank correlation coefficients can equal zero. Using the Hausdorff generalized metric, we show ...

Relation between the Kendall and Spearman coefficients and concordance graphs∗

A pair of linear orders L, L′ on an n-element set V is a concordance pair if the Kendall and Spearman correlation measures between L and L′ coincide. A graph is called concordance graph if it has the same number of induced three-vertex one-edged subgraphs as induced three-vertex twoedged subgraphs. It is known (see Fishburn and Monjardet (2000)) that (L, L′) is a concordance pair if and only if...