Representations of qualitative and quantitative dimensions.
Geometric representations of psychological dimensions are analyzed and compared to an alternative set-theoretical approach. Judgments of similarity between forms and figures reveal the following effects: (a) qualitative attributes are curved relative to quantitative attributes, contrary to intradimensional subtractivity; (b) quantitative attributes augment differences in qualitative attributes, contrary to interdimensional additivity; (c) adding a new dimension with a fixed value increases similarity, contrary to translation invariance. The implications of these results to multidimensional representations of proximity data are discussed.
D000293:Adolescent; D000328:Adult; D003210:Concept Formation; D004193:Discrimination Learning; D005556:Form Perception; D006801:Humans; D008433:Mathematics; D012718:Set, Psychology