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Some Technical Notes on Psychophysical Scaling

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Sensation and Measurement

Abstract

A simple theory of psychophysical scaling is presented. It is based on the power law and a multiplicative error model that treats magnitude judgments as lognormal variates. Conventional techniques for estimating power-law exponents are reviewed along with a solution to the problem of estimating parameters of psychophysical relationships when both variables in the relationship are measured with error. This problem arises when validating ratio scales of opinion by matching sensory magnitudes to social stimuli and thereby producing psychophysical cross-modality matching functions. The regression problem is reconsidered in this context and a method for dealing with it is proposed.

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© 1974 D. Reidel Publishing Company, Dordrecht-Holland

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Cross, D.V. (1974). Some Technical Notes on Psychophysical Scaling. In: Moskowitz, H.R., Scharf, B., Stevens, J.C. (eds) Sensation and Measurement. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2245-3_2

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  • DOI: https://doi.org/10.1007/978-94-010-2245-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2247-7

  • Online ISBN: 978-94-010-2245-3

  • eBook Packages: Springer Book Archive

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