Abstract
Various statistical procedures are ieveloped for determining the psychophysical law within the context of a functional measurement approach to studying stimulus integration in perception. The specific results are limited to additive or multiplicative psychological laws, but the generalization to alternative cognitive algebras is evident. Estimation of parameters of the hypothesized psychophysical law and test of the hypothesis that the row psychophysical law is the same as the column psychophysical law in a two-factor stimulus design is considered for various possible psychophysicaldaws, including linear, polynomial, and power laws.
Article PDF
Similar content being viewed by others
Reference Note
Bogartz, R. S.Testing the equality of means or the proportionality of sets of effects from factor to factor in a fixed-effects experimental design. Unpublished manuscript, 1979.
References
Anderson, N. H. Algebraic models in perception. In E. C. Carterette & M. P. Friedman (Eds.),Handbook of perception (Vol. 2). New York: Academic Press, 1974.
Bogartz, R. S., &Wackwitz, J. H. Polynomial response scaling and functional measurement.Journal of Mathematical Psychology, 1971,8, 418–443.
Curtis, D. W., &Rule, S. J. Judgment of duration relations: Simultaneous and sequential presentation.Perception & PLvchophysics, 1977,22, 578–584.
Hartley, H. O. The modified Gauss-Newton method for lhe fitting of nonlinear regression functions by least squares.Technometrics, 1961,3, 269–280.
Mood, A. M., &Graybill, F. A.Introduction to the theory of statisties (2nd ed.). New York: McGraw-Hill, 1963.
Tukey, J. W. One degree of freedom for nonadditivity.Biometrics, 1949,5, 232–242.
Author information
Authors and Affiliations
Additional information
This work was supported by NIMH Grant MH 31139.
Rights and permissions
About this article
Cite this article
Bogartz, R.S. Some functional measurement procedures for determining the psychophysical law. Perception & Psychophysics 27, 284–294 (1980). https://doi.org/10.3758/BF03206116
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.3758/BF03206116