The geometric representation of similarity and dissimilarity. Extension to measures of dispersion and comments on the distance model of subjective dissimilarity

In psychometrics and mathematical taxonomy dissimilarity is commonly geometrically represented by the Euclidean (Minkowski) distance function. This is only a part of a general geometric representation of similarity and dissimilarity (Junge, 1978). Gini's index (or ratio) and Pearson's coefficient of variation, used in economics as measures of income distribution inequality, are known in mathematical statistics as standardized measures of dispersion. It is shown that both measures can be identified with the general geometric representation of similarity and dissimilarity.