Fechner's psychophysical law as a special case of Stevens' three-parameter power law.
This paper shows that Fechner's law of psychophysics is a special case of Stevens' power law with three parameters. Consequently, at least as good over-all fit to experimental data is always obtained, at the cost of one additional parameter, by using Stevens' power law involving an extra parameter added to the response variable.
Kvålseth
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Department of Mechanical Engineering, University of Minnesota, Minneapolis 55455.
D008433:Mathematics; D011601:Psychophysics