On Fechner's Problem

概要

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Replacement of differences by differentials in derivation of the logarithmic law has been criticized, but, in case of the revised Fechner's problem, differentials and integration can be introduced. Dzhafarov and Colonius (1999) presented their model, in which psychophysical distances are calculated by integration of differentials derived from psychometric functions. But their model should be considered to be based essentially on Case V of Thurstonian models. On the other hand, explicit use of Thurstonian models and psychometric functions has been proposed to derive a differential equation for relation between physical and sensation intensities by Okamoto (1993, e.g.), which is presented here with a more general approach than the previous ones. After the introduction of these models, I discuss problems in criticisms for Fechner's differential formula, other uses of differential equations in psychophysics (e.g., Eisler (1963)), psychological nonsense in general mathematical distances in Dzhafarov and Colonius' model, and so on.
金沢大学の論文
2001-03-15