Psychometrika

, Volume 28, Issue 2, pp 145–160 | Cite as

On the psychophysical law and estimation procedures in psychophysical scaling

  • Robert F. Fagot
Article

Abstract

A general formulation of the power law is presented which has two special features: (1) negative exponents are admissible; and (2) the log law is a special limiting case. Estimation procedures, which provide joint estimates of the exponent and the absolute threshold, are derived for the direct ratio scaling methods. A solution is provided for theaveraging problem for ratio production and bisection scaling, two methods generating observations on the physical scale, and Monte Carlo methods are used to evaluate the resulting estimators.

Keywords

Monte Carlo Method Public Policy Statistical Theory Estimation Procedure Ratio Production 

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Copyright information

© Psychometric Society 1963

Authors and Affiliations

  • Robert F. Fagot
    • 1
  1. 1.University of OregonUSA

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