“…Different kinds of distance metrics and weighting schemes appropriate for various practical situations have been proposed and discussed in the literature. Typically, these metrics are expressed as nondecreasing functions of | i − j | when assessing the degree of disagreement among the provided evaluations (eg, loss matrix) or, vice versa, as nonincreasing function of | i − j | when assessing the degree of agreement (eg, linear agreeing weights and quadratic agreeing weights). A weighted version of the uniform kappa, , including symmetric weights (ie, w i j = w j i ) a priori assigned to each pair ( i , j ) of ratings, has been proposed by Gwet, and its statistical properties have been studied by Warrens .…”