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Although direct scaling methods have been widely used in the behavioral sciences since the 1950s, theoretical approaches which could clarify the implicit assumptions inherent in Stevens’ ratio scaling approach were developed only recently. Today, it is generally accepted that the axioms of commutativity and multiplicativity are fundamental to the subjects’ ratio scaling behavior. Therefore, both axioms...
Frequently, it is postulated that the results of a ratio production (resp., ratio estimation) experiment can be summarized by Stevens’ power law ψ=αϕβ. In the present article, it is argued that the power law parameters depend, among other things, on the standard stimulus presented as a reference point, and the physical stimulus scale by which the physical intensities are measured. To formalize this...
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