Kendall's Coefficient of Concordance is between 0 and 1

Theorem

Kendall's coefficient of concordance $W$ fulfils the following inequality:

$0 \le W \le 1$

where:

$0$ indicates complete disagreement

$1$ indicates complete agreement.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): coefficient of concordance
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): coefficient of concordance