Representations of qualitative and quantitative dimensions

Itamar Gati*, Amos Tversky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

78 Scopus citations

Abstract

Geometric representations of psychological dimensions were analyzed and compared to an alternative set-theoretical approach. Judgments of similarity between forms and figures by 244 high school and undergraduate students revealed the following effects: (a) Qualitative attributes were curved relative to quantitative attributes, contrary to intradimensional subtractivity; (b) quantitative attributes augmented differences in qualitative attributes, contrary to interdimensional additivity; and (c) adding a new dimension with a fixed value increased similarity, contrary to translation invariance. The implications of these results for multidimensional representations of proximity data are discussed. (24 ref) (PsycINFO Database Record (c) 2006 APA, all rights reserved).

Original languageEnglish
Pages (from-to)325-340
Number of pages16
JournalJournal of Experimental Psychology: Human Perception and Performance
Volume8
Issue number2
DOIs
StatePublished - Apr 1982

Keywords

  • college students
  • geometric vs set theoretical representations of psychological dimensions, proximity data functions in pictorial judgment tasks, high school &

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