Hostname: page-component-7f64f4797f-bnl7t Total loading time: 0 Render date: 2025-11-04T06:24:59.598Z Has data issue: false hasContentIssue false
  • English
  • Français

Statistical Methods for a Theory of Cue Learning

Published online by Cambridge University Press:  01 January 2025

Frank Restle
Frank Restle*
Affiliation:
Michigan State University
Get access Rights & Permissions [Opens in a new window]

Abstract

A theory of cue learning, which gives rise to a system of recurrent events in Feller's sense, is analyzed mathematically. The distribution of total errors and sampling distribution of mean errors are derived, and the learning curve is investigated. Maximum likelihood estimates of parameters and sampling variances of those estimates are derived. Likelihood ratio tests of the usual null hypotheses and approximate tests of goodness of fit of substantive hypotheses are developed. The distinguishing characteristic of these tests is that they are concerned with meaningful parameters of the learning process.

Information

Type
Original Paper
Information
Psychometrika , Volume 26 , Issue 3 , September 1961 , pp. 291 - 306
Copyright
Copyright © 1961 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

*

This research was facilitated by the writer's tenure as Faculty Research Fellow, Social Science Research Council, 1959–1961.

References

Atkinson, R. C. A theory of stimulus discrimination learning. Tech. Rep. 1, Contr. Nonr 233(58), Dept. Psychol., Univ. California, Los Angeles, 1959.Google Scholar
Atkinson, R. C. and Suppes, P. An analysis of a two-person interaction situation in terms of a Markov process. Tech. Rep. 9, Contr. Nonr 225 (17), Appl. Math. and Statist. Laboratory, Stanford Univ., 1957.CrossRefGoogle Scholar
Bourne, L. E. Jr. and Restle, F. Mathematical theory of concept identification. Psychol. Rev., 1959, 66, 278–296.CrossRefGoogle ScholarPubMed
Bower, G. H. Properties of the one-element model as applied to paired-associate learning. Tech. Rep. 31, Contr. Nonr 225 (17), Inst. for Math. Stud. in the Soc. Sci., Stanford Univ., 1960.Google Scholar
Bush, R. R., Galanter, E. and Luce, R. D. Tests of the “Beta Model”. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory. Stanford: Stanford Univ. Press, 1959, 381–399.Google Scholar
Bush, R. R. and Mosteller, F. Stochastic models for learning, New York: Wiley, 1955.CrossRefGoogle Scholar
Bush, R. R. and Mosteller, F. A comparison of eight models. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory. Stanford: Stanford Univ. Press, 1959, 293–307.Google Scholar
Estes, W. K. Statistical theory of spontaneous recovery and regression. Psychol. Rev., 1955, 62, 145–154.CrossRefGoogle ScholarPubMed
Estes, W. K. Statistical theory of distributional phenomena in learning. Psychol. Rev., 1955, 62, 369–377.CrossRefGoogle ScholarPubMed
Estes, W. K. Theory of learning with constant, variable, or contingent probabilities of reinforcement. Psychometrika, 1957, 22, 113–132.CrossRefGoogle Scholar
Estes, W. K. Component and pattern models with Markovian interpretations. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory. Stanford: Stanford Univ. Press, 1959, 9–52.Google Scholar
Feller, W. Introduction to probability theory and its applications (1st ed.), New York: Wiley, 1950.Google Scholar
Gormezano, I. and Grant, D. A. Progressive ambiguity in the attainment of concepts on the Wisconsin Card Sorting Test. J. exp. Psychol., 1959, 55, 621–627.CrossRefGoogle Scholar
Restle, F. Toward a quantitative description of learning set data. Psychol. Rev., 1958, 65, 77–91.CrossRefGoogle Scholar
Restle, F. A survey and classification of learning models. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory. Stanford: Stanford Univ. Press, 1959, 415–428.Google Scholar
Restle, F. Additivity of cues and transfer in discrimination of consonant clusters. J. exp. Psychol., 1959, 57, 9–14.CrossRefGoogle ScholarPubMed
Restle, F. Note on the “hypothesis” theory of discrimination learning. Psychol. Rep., 1960, 7, 194–194.Google Scholar
Restle, F. The selection of strategies in cue learning. Psychol. Rev. (in press).Google Scholar
Trabasso, T. R. Additivity of cues in discrimination learning of letter patterns. J. exp. Psychol., 1960, 60, 83–88.CrossRefGoogle ScholarPubMed