Cohen’s weighted kappa is a popular descriptive statistic for summarizing interrater agreement on an ordinal scale. An agreement table with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$n\in \mathbb N _{\ge 3}$$</EquationSource> </InlineEquation> ordered categories can be collapsed into <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$n-1$$</EquationSource> </InlineEquation> distinct <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$2\times 2$$</EquationSource> </InlineEquation> tables by combining adjacent categories....</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

It is shown that if cell weights may be calculated from the data the chance-corrected Zegers-ten Berge coefficients for metric scales are special cases of Cohen’s weighted kappa. The corrected coefficients include Pearson’s product-moment correlation, Spearman’s rank correlation and the...