Category:Kendall's Coefficient of Concordance

This category contains results about Kendall's Coefficient of Concordance.
Definitions specific to this category can be found in Definitions/Kendall's Coefficient of Concordance.

Kendall's coefficient of concordance is a test for consistency of more than $2$ sets of rankings.

Let $m$ judges independently award ranks $1$ to $n$ to a set of $n$ competitors.

Let $s_i$ be the sum of the rankings awarded to competitor $i$.

The mean $M$ of the values of $s_i$ is $\dfrac 1 2 m \paren {n + 1}$.

The sum of the squares of the deviations from $M$ is given by:

$S = \ds \sum_{i \mathop = 1}^n \paren {s_i - M}^2$

and Kendall's coefficient of concordance is given by:

$W = \dfrac {12 S} {m^2 n \paren {n^2 - 1} }$