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Cohen's Kappa

Cohen's kappa is used to compare the degree of consensus between raters (inspectors) in, for example, Measurement Systems Analysis. It uses a contingency table approach.

Two raters inspect 150 parts independently and make the following determinations:

 Bret Reject Accept Total Reject 20 19 39 Alice Accept 1 110 111 Total 21 129 150

The expected values in each cell would be:

 Bret Reject Accept Total Reject 5.46 33.54 39 Alice Accept 15.54 95.46 111 Total 21 129 150

These are the values that would give the same totals if the determinations were made by pure chance and is calculated from:

(row total x column total)/overall total

The Kappa statistic is calculated from:

where:

 Actual the number of times the appraisers agreed (110 + 20 = 130) Expected the number of times they would have agreed by chance (5.46 + 95.46) Trials the number of trials

The value of Kappa will be between 0 and 1.

If the results were made by chance, neither rater showing judgment the value would be zero. If the raters were in perfect agreement, the number of agreements would equal the number of trials and Kappa would be 1.

 Cohen's Kappa is used in Measurement Systems Analysis. Measurement Systems Analysis for both attributes and variables are covered in the MiC Quality course on Measurement Systems Analysis Try out our courses by taking the first module of the Primer in Statistics free of charge.
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