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QUADRATIC SIMILARITIES
Author(s) -
Gregson R. A. M.
Publication year - 1970
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1970.tb00435.x
Subject(s) - axiom , mathematics , weighting , similarity (geometry) , judgement , quadratic equation , set (abstract data type) , mathematical economics , artificial intelligence , computer science , epistemology , geometry , medicine , philosophy , image (mathematics) , radiology , programming language
An axiom set for similarities is presented together with a set‐theoretic definition of multidimensional similarity consistent with the axioms. A special case of relative similarity judgement, involving the simultaneous comparison of three stimulus pairs, called ‘quadratic similarities’, is empirically illustrated and related to the theory. The goodness of fit of the axiomatic theory is checked for both unweighted and differentially weighted versions. Agreement generally varies between subjects, but in some cases is very good, and is almost invariably improved slightly by weighting.