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:: Home ::Six Sigma ::SIX SIGMA GLOSSARY: Cohen's Kappa :: CURRENT STUDENTS LOGIN

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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:

kappa equation

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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