Psychological Research

, Volume 38, Issue 1, pp 81–95 | Cite as

Psychophysical study of numbers

II. Theoretical models of number generation
  • Elliot Noma
  • John C. Baird
Article

Summary

This paper develops three theoretical models to predict the numbers generated by Ss in an experiment described by Baird and Noma, 1975, Exp. II. The models (digit, base, and quarter) are each grounded on different assumptions about the process underlying number generation without the constraints of physical stimuli usually present in psychophysical tasks. Each of the models proved applicable to a restricted subrange of the physical continuum from 1–1000. A combination of models seems necessary to adequately predict number generation.

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References

  1. Baird, J. C.: Psychophysical study of numbers: IV. Generalized preferred state theory. Psychol. Res. (1975a)Google Scholar
  2. Baird, J. C.: Psychophysical study of numbers: V. Application of preferred state theory to matching functions. Psychol. Res. (1975b)Google Scholar
  3. Baird, J. C., Noma, E.: Psychophysical study of numbers: I. Generation of numerical responses. Psychol. Res. 37, 281–297 (1975)Google Scholar
  4. Baird, J. C., Lewis, C., Romer, D.: Relative frequencies of numerical responses in ratio estimation. Perception and Psychophysics 8, 358–362 (1975)Google Scholar
  5. Banks, W. P., Hill, D. K.: The apparent magnitude of number scaled by random production. J. exp. Psychol. Monogr. 102, (No. 2) (1974)Google Scholar
  6. Ekman, G.: Is the power law a special case of Fechner's law? Perceptual and Motor Skills 19, 73 (1964)Google Scholar
  7. Galton, F.: Visualized numerals. Journal of the Anthropological Institute 10, 85–97 (1880)Google Scholar
  8. Weissmann, S. M., Hollingsworth, S. R., Baird, J.C.: Psychophysical study of numbers: III. Methodological applications. Psychol. Res. (1975)Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Elliot Noma
    • 1
  • John C. Baird
    • 1
  1. 1.Department of PsychologyDartmouth CollegeHanoverUSA
  2. 2.the University of MichiganUSA

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