Fixed-effects modeling of cohen's kappa for bivariate multinomial data

Cohen's kappa statistic is the conventional method that is used widely in measuring agreement between two responses when they are categorical. In this article, we develop a fixed-effects modeling of Cohen's kappa for bivariate multinomial data which reduces to Cohen's kappa under certain conditions and hence can be considered as a generalization of the conventional Cohen's kappa. Also, this method can easily be adapted as a generalization of Cohen's weighted kappa. Properties of the proposed method are provided. Large sample performance is investigated through bootstrap simulation studies followed by two illustrative examples.