M. Lehmann et al., COMPARISON BETWEEN EXACT AND PARAMETRIC DISTRIBUTIONS OF MULTIPLE INTER-RATERS AGREEMENT COEFFICIENT, Computer methods and programs in biomedicine, 47(2), 1995, pp. 113-121
The Global Kappa statistic can be used for measuring the degree of agr
eement between more than two raters. In this paper, we give simple com
putation formulas in the case of dichotomic and no missing responses i
n order to describe the exact distribution of Kappa for various sets d
efined by the number of raters, of different examinations and of posit
ive responses. By programming those computations with the SAS(C) softw
are package, we were able to compare the exact and parametric distribu
tions of Kappa. Although the correlation between parameters is high, a
linear regression analysis shows that a strong imbalance between posi
tive and negative responses can lead to misinterpretation of the resul
ts when using the parametric method.