Concordance concordance (CCC) is another measure of concordance that, unlike the ICC, does not initially adopt a common means for judges` assessments, so it can be used to assess both the degree of convergence and the degree of divergence. However, one of the main limitations of the CAB is that it only applies to two judges at the same time. The problem of distortion does not apply to correlation, because the variables taken into account for correlation usually measure different constructions and therefore usually have different means. For pearson correlation, sample mean values are removed from correlation calculations in (1), so pearson correlation is independent of differences in (sampling) means of correlated variables. If ui and vi have a nonlinear relationship, product torque correlation generally does not provide an informative measure of correlation. The following example shows that in this case, the pearson correlation can be quite misleading. It can be shown that pCCC=1 (-1) if and only if p=1 (-1), μ1=μ2 and σ12=σ22.  pCCC=1 (-1) if and only if yi1 = (10) yi2 (yi1=-yi2), i.e. if there is a perfect chord (disagreement). The bias correction factor Cb (0≤Cb≤1) in (12) evaluates the degree of distortion, with the smaller Cb reporting greater distortion. Therefore, unlike CCI, a mismatch can be due to a low correlation (small p) or a large distortion (small Cb). Like the pearson and spearman correlation, the Kendalls sample τ⌢in (8) evaluates the following population parameter: like the Pearson correlation, the Spearman-Rho in (4) is a sample-based statistic.
This Spearman rho sample is an estimate of the Spearman rho population: consistency and correlation are two widely used approaches to assessing the association between variables. Although they are similar and related, they represent totally different concepts of association. Consistency between evaluation variables assumes that the variables measure the same structure and the correlation between variables can also be assessed when measuring totally different structures. This conceptual difference requires the use of different statistical methods that may vary depending on the distribution of data and the interest of researchers in assessing consistency or relevance. For example, Pearson correlation is a common measurement method for evaluating correlations between continuous variables, which only provides useful information if it is used for variables corresponding to a linear relationship. Similarly, internal correlation, a common method of assessing consistency between continuous variables, does not provide sufficient information to researchers when the substance of the wrong consistency is exactly what the study is interested in. This report examines the concepts of consistency and relevance and examines differences in the use of several common methods. In this example, the pearson correlation is p⌢=0.531, while spearmans ρ⌢ =1. . .