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Empirical Bayes Point Estimates of Latent Trait Scores without Knowledge of the Trait Distribution

Published online by Cambridge University Press:  01 January 2025

William Meredith  and
Jack Kearns
William Meredith
Affiliation:
University of California, Berkeley
Jack Kearns
Affiliation:
University of California, Berkeley
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Abstract

In this paper, recent developments in empirical Bayes procedures are tied in with current work in mental test theory. Point estimators of “true scores” are derived for the binomial and Rasch test models. These estimators are shown to be asymptotically optimal. Smoothing and an empirical study of the behavior of empirical Bayes estimates are taken up in the final section.

Type
Original Paper
Information
Psychometrika , Volume 38 , Issue 4 , December 1973 , pp. 533 - 554
Copyright
Copyright © 1973 The Psychometric Society

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Footnotes

*

This research was supported by the National Science Foundation, Division of Biological and Medical Sciences, Program in Psycho-Biology, Grant No. NSF GB-30779.

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