Empirical bayes point estimates of latent trait scores without knowledge of the trait distribution |
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| Authors: | William Meredith Jack Kearns |
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| Affiliation: | (1) University of California, Berkeley, USA;(2) Present address: Educational testing Service, Princeton, N. J., USA |
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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.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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