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Latency Models for Reaction Time Distributions

Published online by Cambridge University Press:  01 January 2025

D. H. Taylor*
Affiliation:
University of Reading, England

Abstract

This paper presents an adaptation of the method of moments for comparing observed and theoretical distributions of reaction time. By using cumulants in place of moments, considerable simplification of the treatment of convoluted distributions is obtained, particularly if one of the components is normally distributed. Stochastic latency models are often poorly fitted by reaction time data. This may be because a simple latency distribution is convoluted with a normal or high-order gamma distribution. The comparison method described will assist investigation of this and other interpretations of reaction time distributions.

Type
Original Paper
Copyright
Copyright © 1965 Psychometric Society

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Footnotes

*

This work forms part of a project on “Information in skill situations” supported by the Department of Scientific and Industrial Research. The paper is in part fulfilment of the requirement for the degree of Doctor of Philosophy at Reading University.

References

Audley, R. J. A stochastic model for individual choice behavior. Psychol. Rev., 1960, 67, 115.CrossRefGoogle ScholarPubMed
Christie, L. S. and Luce, R. D. Decision structure and time relations in simple choice behavior. Bull. math. Biophysics, 1956, 18, 89112.CrossRefGoogle Scholar
Cramér, H. Mathematical methods of statistics, Princeton: Princeton Univ. Press, 1946.Google Scholar
Davis, R. Choice reaction times and the theory of intermittency in human performance. Quart. J. exp. Psychol., 1962, 14, 157166.CrossRefGoogle Scholar
Fisher, R. A. On the mathematical foundations of theoretical statistics. Phil. Trans. roy. Soc. London, 1922, 222, 309368.Google Scholar
Fisher, R. A. Statistical methods for research workers (10th ed.), Edinburgh: Oliver and Boyd, 1946.Google Scholar
Hick, W. E. Discontinuous functioning of the human operator in pursuit tasks. Quart. J. exp. Psychol., 1948, 1, 3657.CrossRefGoogle Scholar
Hick, W. E. On the rate of gain of information. Quart. J. exp. Psychol., 1952, 4, 1126.CrossRefGoogle Scholar
Hyman, R. Stimulus information as a determinant of reaction time. J. exp. Psychol., 1953, 45, 188196.CrossRefGoogle ScholarPubMed
Kendall, M. G. The advanced theory of statistics, London: Griffin, 1943.Google Scholar
LaBerge, D. A recruitment theory of simple behavior. Psychometrika, 1962, 27, 375396.CrossRefGoogle Scholar
Luce, R. D. Response latencies and probabilities. In Arrow, K. J., Karlin, S., and Suppes, P. (Eds.), Mathematical methods in the social sciences, 1959. Stanford: Stanford Univ. Press, 1960, 298311.Google Scholar
McGill, W. J. Stochastic latency mechanisms. In Luce, R. D., Bush, R. R., and Galanter, E. (Eds.), Handbook of Mathematical Psychology, Vol. I. New York: Wiley, 1963, 309360.Google Scholar
Pearson, K. Tables for statisticians and biometricians. ((2nd) ed.) Cambridge Univ. Press, 1924.Google Scholar
Restle, F. Psychology of judgment and choice, New York: Wiley, 1961.Google Scholar
Stone, M. Models for choice reaction time. Psychometrika, 1960, 25, 251260.CrossRefGoogle Scholar
Stroud, J. M. The fine structure of psychological time. In Quastler, H. (Eds.), Information theory in psychology. Glencoe, Ill.: Free Press, 1955, 174205.Google Scholar
Welford, A. T. The measurement of sensory-motor performance. Ergonomics, 1960, 3, 189230.CrossRefGoogle Scholar
White, C. T. Temporal numerosity and the psychological unit of duration. Psychol. Monogr., 1963, 77, 1212.CrossRefGoogle ScholarPubMed