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Models for Choice-Reaction Time

Published online by Cambridge University Press:  01 January 2025

Mervyn Stone
Mervyn Stone*
Affiliation:
Medical Research Council
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Abstract

In the two-choice situation, the Wald sequential probability ratio decision procedure is applied to relate the mean and variance of the decision times, for each alternative separately, to the error rates and the ratio of the frequencies of presentation of the alternatives. For situations involving more than two choices, a fixed sample decision procedure (selection of the alternative with highest likelihood) is examined, and the relation is found between the decision time (or size of sample), the error rate, and the number of alternatives.

Type
Original Paper
Information
Psychometrika , Volume 25 , Issue 3 , September 1960 , pp. 251 - 260
Copyright
Copyright © 1960 The Psychometric Society

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Footnotes

*

Applied Psychology Research Unit, 15 Chaucer Road, Cambridge, England.

References

Wald, A. Sequential analysis, New York: Wiley, 1947Google Scholar
Peterson, W. W. and Birdsall, T. G. The theory of signal detectability. Tech. Rep. No. 13, Electronic Defense Group, Univ. Michigan, 1953.CrossRefGoogle Scholar
Peterson, W. W. and Birdsall, T. G. The probability of a correct decision in a forced choice amongM alternatives. Quarterly Prog. Rep. No. 10, Electronic Defense Group, Univ. Michigan, 1954.Google Scholar
Gumbel, E. J. Statistics of extremes, New York: Columbia Univ. Press, 1958CrossRefGoogle Scholar

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