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For my problem I have a group of p participants and s subjects. I was suggested to calculate the Kappa Cohen Test on combinations of two for p and s, then calculate the mean and compare against the uniquely calculated value of Fleiss` kappa for the same set.

My question is, whetheror not it is correct/safe to calculate a mean over the Cohen's kappa test?

More specifically, I am using the Kappa2 and Fleiss' kappa with the flag set to FALSE from the irr R package. Setting the flag to false means that a variant algorithm of Kappa Fleiss is used so that it can be reduced to Kappa Cohen when the population has p=2 s=2.

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