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Estimating True Score in the Compound Binomial Error Model

Published online by Cambridge University Press:  01 January 2025

Rand R. Wilcox
Rand R. Wilcox*
Affiliation:
University of California at Los Angeles
*
Requests for reprints should be sent to Rand R. Wilcox, Center for the Study of Evaluation, University of California, Los Angeles, California 90024.
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Abstract

Several procedures have been proposed in the statistical literature for estimating simultaneously the mean of each of k binomial populations. In terms of mental test theory, however, it is not clear that these procedures should be used when an item sampling model applies since the binomial error model is usually viewed as an oversimplification of the “true” situation. In this study we compare empirically several of these estimation techniques. Particular attention is given to situations where observations are generated according to a two-term approximation to the compound binomial distribution.

Keywords

empirical Bayes
Type
Original Paper
Information
Psychometrika , Volume 43 , Issue 2 , June 1978 , pp. 245 - 258
Copyright
Copyright © 1978 The Psychometric Society

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Footnotes

The author would like to thank Shelley Niwa for writing the computer programs used in this study.

The work upon which this publication is based was performed pursuant to Grant # NIE-G-76-0083 with the National Institute of Education, Department of Health, Education and Welfare. Points of view or opinions stated do not necessarily represent official NIE position or policy.

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