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- W2149872791 abstract "Studying how individuals compare two given quantitative stimuli, sayd 1 andd 2 , is a fundamental problem. One very common way to address it is throughratio estimation, that is to ask individuals not to give values tod 1 andd 2 , but rather to give their estimates of the ratiop=d 1 /d 2 . Several psychophysical theories (the best known being Stevens’ power-law) claim that this ratio cannot be known directly and that there are cognitive distortions on the apprehension of the different quantities. These theories result in the so-calledseparable representations[Luce, R. D. (2002). A psychophysical theory of intensity proportions, joint presentations, and matches.Psychological Review, 109, 520‐532; Narens, L. (1996). A theory of ratio magnitude estimation.Journal of Mathematical Psychology, 40, 109‐788], which include Stevens’ model as a special case. In this paper we propose a general statistical framework that allows for testing in a rigorous way whether the separable representation theory is grounded or not. We conclude in favor of it, but reject Stevens’ model. As a byproduct, we provide estimates of the psychophysical functions of interest. c" @default.
- W2149872791 created "2016-06-24" @default.
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- W2149872791 date "2008-01-01" @default.
- W2149872791 modified "2023-09-26" @default.
- W2149872791 title "Measurement by Subjective Estimation: Testing for Separable Representations" @default.
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