New variances for various kappa coefficients based on the unbiased estimator of the expected index of agreements

Abstract

Recently Mart\'in Andr\'es and \'Alvarez Hern\'andez (2024) have proposed new estimators of various kappa coefficients. These estimators are based on the unbiased estimator of the expected index of agreement of each population coefficient. In their article, these authors propose variance formulas based on the univariate delta method. Here new formulas are proposed that are based on the multivariate delta method.