A multiplicative model is proposed for the similarity between stimuli varying in easily discerned dimensions. According to this model, the multidimensional similarity estimate equals a product, weighted by exponents, of the unidimensional estimates. The multiplicative model, together with two alternative ones, a vector model and an additive model, are tested in two experiments where the stimuli are varied in two dimensions. The multiplicative model seems to describe the empirical data most closely.
References
1.
AttneaveF.Dimensions of similarity. American Journal of Psychology, 1950, 63, 516–556.
2.
EislerH.Similarity in the continuum of heaviness with some methodological and theoretical considerations. Scandinavian Journal of Psychology, 1960, 1, 69–81.
3.
EislerH.EkmanG.A mechanism of subjective similarity. Acta Psychologica, 1959, 16, 1–10.
4.
EkmanG.Some aspects of psychophysical research. In RosenblithW. A. (Ed.), Sensory communication. New York: Wiley, 1961. Pp. 35–47.
5.
EkmanG.EngenT.KuennapasT.LindmanR.A quantitative principle of qualitative similarity. Journal of Experimental Psychology, 1964, 68, 530–536.
6.
EkmanG.GoudeG.WaernY.Subjective similarity in two perceptual continua. Journal of Experimental Psychology, 1961, 61, 222–227.
7.
EkmanG.SjoebergL.Scaling. Annual Review of Psychology, 1965, 16, 451–475.
8.
Hesselgrens Faergatlas. Stockholm: T. Palmer, 1963.
9.
KuennapasT.Visual perception of capital letters: Multidimensional ratio scaling and multidimensional similarity. Scandinavian Journal of Psychology, 1966, 7, 189–196.
10.
KuennapasT.MaelhammarG.SvenssonO.Multidimensional ratio scaling and multidimensional similarity of simple geometric figures. Scandinavian Journal of Psychology, 1964, 5, 149–256.
11.
TorgersonW. S.Theory and methods for scaling. New York: Wiley, 1958.
12.
WaernY.Preference and perception; a study on individual subjects of the unfolding model. Reports from the Psychological Laboratories, University of Stockholm, 1970, No. 309.