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A Recruitment Theory of Simple Behavior

Published online by Cambridge University Press:  01 January 2025

David LaBerge
David LaBerge*
Affiliation:
University of Minnesota
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Abstract

A statistical theory of choice is developed using a sequential sampling assumption. Response latency distributions for certain simple reaction-time situations are derived and tested. Both response probability and response latency measures are developed for a two-alternative judgment situation and the relationship between the two measures explored. The sampling parameter is proposed as a means of representing incentive conditions in choice situations and ROC curves are obtained by appropriate manipulations of this parameter. A solution to the overlap problem in simple discrimination-learning situations is also derived.

Type
Original Paper
Information
Psychometrika , Volume 27 , Issue 4 , December 1962 , pp. 375 - 396
Copyright
Copyright © 1962 The Psychometric Society

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Footnotes

*

This research was supported in part by a grant from the National Science Foundation. The writer has benefited from discussions with his students, James R. Erickson, James G. Greeno, Duane R. Martin, Kirk H. Smith, and Charles F. Stroebel. For generous suggestions with regard to certain mathematical matters, the writer is indebted to Professors Ingram Olkin, Stephen Orey, and Milton Sobel of the Statistics Department at the University of Minnesota.

References

Audley, R. J. A stochastic model for individual choice behavior. Psychol. Rev., 1960, 67, 1–15.CrossRefGoogle ScholarPubMed
Bower, G. H. Choice-point behavior. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory, Stanford: Stanford Univ. Press, 1959.Google Scholar
Burington, R. S. and May, D. C. Handbook of probability and statistics with tables, Sandusky, Ohio: Handbook Publishers, 1953.Google Scholar
Bush, R. R., Mosteller, F. A model for stimulus generalization and discrimination. Psychol. Rev., 1951, 58, 413–423.CrossRefGoogle Scholar
Bush, R. R. and Mosteller, F. Stochastic models for learning, New York: Wiley, 1955.CrossRefGoogle Scholar
Chernikoff, R. and Brogden, W. J. The effect of response termination of the stimulus upon reaction time. J. comp. physiol. Psychol., 1949, 42, 357–364.CrossRefGoogle ScholarPubMed
Donders, F. C. Die schnelligkeit psychischer processe. Arch. anat. Phys., 1868, 657–681.Google Scholar
Estes, W. K. Toward a statistical theory of learning. Psychol. Rev., 1950, 57, 94–107.CrossRefGoogle Scholar
Estes, W. K. A random-walk model for choice behavior. In Arrow, K. J., Karlin, S., and Suppes, P. (Eds.), Mathematical methods in the social sciences, Stanford: Stanford Univ. Press, 1959.Google Scholar
Estes, W. K. The statistical approach to learning theory. In Koch, S. (Eds.), Psychology: a study of a science. Vol. New York: McGraw-Hill, 1959, 380–491.Google Scholar
Estes, W. K. and Burke, C. J. A theory of stimulus variability in learning. Psychol. Rev., 1953, 60, 276–286.CrossRefGoogle ScholarPubMed
Feller, W. An introduction to probability theory and its applications (2nd ed.), New York: Wiley, 1957.Google Scholar
Goodwin, W. R. and Lawrence, D. H. The functional independence of two discrimination habits associated with a constant stimulus situation. J. comp. physiol. Psychol., 1955, 48, 437–443.CrossRefGoogle ScholarPubMed
Gregg, L. W. and Brogden, W. J.. The relation between duration and reaction time difference to fixed duration and response terminated stimuli. J. comp. physiol. Psychol., 1950, 43, 329–337.CrossRefGoogle ScholarPubMed
Hald, A. Statistical tables and formulas, New York: Wiley, 1952.Google Scholar
Hughes, C. L. and North, A. J. Effect of introducing a partial correlation between a critical cue and a previously irrelevant cue. J. comp. physiol. Psychol., 1959, 52, 126–128.CrossRefGoogle Scholar
Jeeves, M. A. and North, A. J. Irrelevant or partially correlated stimuli in discrimination learning. J. exp. Psychol., 1956, 52, 90–94.CrossRefGoogle ScholarPubMed
Johanson, A. M. The influence of incentive and punishment upon reaction time. Arch. Psychol., 1922, 54.Google Scholar
LaBerge, D. A model with neutral elements. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory, Stanford: Stanford Univ. Press, 1959.Google Scholar
LaBerge, D. and Smith, A. Selective sampling in discrimination learning. J. exp. Psychol., 1957, 54, 423–430.CrossRefGoogle Scholar
McCarthy, P. I. Approximate solutions for means and variances in a certain class of box problems. Ann. math. Statist., 1947, 18, 349–383.CrossRefGoogle Scholar
McGill, W. Stochastic latency mechanisms. In Bush, R. R., Luce, R. D., and Galanter, E. (Eds.), Handbook of mathematical psychology. Vol. 1. New York: Wiley, in press.Google Scholar
Olkin, I. and Sobel, M. Integral expressions for certain sums of multinomial and negative multinomial probabilities. Tech. Report No. 1, Department of Statistics, Univ. of Minnesota.Google Scholar
Pearson, K. Tables of the incomplete beta-function, London: Cambridge Univ. Press, 1932.Google Scholar
Restle, F. A theory of discrimination learning. Psychol. Rev., 1955, 62, 11–19.CrossRefGoogle ScholarPubMed
Swets, J. A., Tanner, W. P. Jr., and Birdsall, T. G. Decision processes in perception. Psychol. Rev., 1961, 68, 301–340.CrossRefGoogle ScholarPubMed
Tanner, W. P. Jr. and Swets, J. A. A decision-making theory of visual detection. Psychol. Rev., 1954, 61, 401–409.CrossRefGoogle ScholarPubMed
Verplanck, W. S., Collier, G. H., andCotton, J. W. Non-independence of successive responses in measurements of visual threshold. J. exp. Psychol., 1952, 44, 273–282.CrossRefGoogle Scholar
Woodworth, R. S. and Schlosberg, H. Experimental psychology (Rev.), New York: Holt, 1956.Google Scholar