Abstract
A method for computation of dominance rela tions and for construction of their corresponding hierarchical structures is presented. It is shown that variance can be computed from the squared pair- wise differences between scores and that dominance indices are actually linear transformations of vari ances. The interpretation of variance as a quantita tive measure of information is suggested and con ceptual partition of variance into components as sociated with relational spaces is proposed. The link between dominance and variance allows in tegration of the mathematical theory of information with least squares statistical procedures without re course to logarithmic transformations of the data.
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