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A Remark on Bower's Estimate for the One-Element Markov Learning Model

Published online by Cambridge University Press:  01 January 2025

Paul W. Holland
Paul W. Holland*
Affiliation:
Harvard University
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Abstract

For the case of the one-element Markov learning model for which the guessing parameter p is assumed known the efficiency of Bower's method of moments estimator c+ for the learning parameter, c, is found. It seems that although c+ is not efficient, for some practical value of c it is not very inefficient. If p and c are small, ĉ, the maximum likelihood estimate, and c+ have approximately the same first term when expanded in powers of p.

Type
Original Paper
Information
Psychometrika , Volume 33 , Issue 2 , June 1968 , pp. 217 - 223
Copyright
Copyright © 1968 The Psychometric Society

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Footnotes

*

This work was facilitated by a grant from the National Science Foundation (GS-341)

References

Bower, G. H. Applications of a model to paired-associate learning. Psychometrika, 1961, 26, 225–280.CrossRefGoogle Scholar
Kraemer, H. C. Point Estimation in Learning Models. Journal of Mathematical Psychology, 1964, 1, 28–53.CrossRefGoogle Scholar