Abstract

Quadratic relative similarities involving three reference stimuli, one comparison stimulus, and one judgment on the latter against all three reference stimuli simultaneously, are defined and described for visual stimuli with three dimensions of variation. The special case where all comparison stimuli lying outside the range of magnitudes of the reference stimuli yield the same response is considered. Individual results on each of 25 subjects under three different cases are analyzed by numerical methods, and the goodness of fit of a model together with estimates of each of its scalar parameters representing selective attention biases and nonlinearity are given. Implications for scaling theory are noted.

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