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Standard Error of Kappa


The standard error(s) of the Kappa coefficient were obtained by Fleiss (1969). Different standard errors are required depending on whether the null hypothesis is that κ = 0, or is equal to some specified value.

We give below the appropriate standard error of the Kappa coefficient for testing whether Kappa = 0:

Algebraically speaking -

SE (0) (κ)    =    
1 [pe2 + pe − ΣRiCi(Ri + Ci)/N3]
(1 − pe)2N
  • pe is the expected proportion that agree,
  • Ri and Ci are the row and column totals for the contingency table,
  • N is the number of observations.

Standard errors for where the null is not equal to zero, and for the weighted kappa coefficient can be found in Fleiss (1981)