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A note on the linearly weighted kappa coefficient for ordinal scales. (English) Zbl 1220.62172
Summary: A frequent criticism formulated against the use of weighted kappa coefficients is that the weights are arbitrarily defined. We show that using linear weights for a $$K$$-ordinal scale is equivalent to deriving a kappa coefficient from $$K-1$$ embedded $$2\times 2$$ tables.

##### MSC:
 62P99 Applications of statistics 62H17 Contingency tables 62P15 Applications of statistics to psychology
##### Keywords:
absolute weights; interpretation; agreement; disagreement
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##### References:
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