Estimating True-Score Distributions in Psychological Testing (an Empirical Bayes Estimation Problem)
- 1 September 1969
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 34 (3) , 259-299
- https://doi.org/10.1007/bf02289358
Abstract
The following problem is considered: Given that the frequency distribution of the errors of measurement is known, determine or estimate the distribution of true scores from the distribution of observed scores for a group of examinees. Typically this problem does not have a unique solution. However, if the true-score distribution is “smooth,” then any two smooth solutions to the problem will differ little from each other. Methods for finding smooth solutions are developed a) for a population and b) for a sample of examinees. The results of a number of tryouts on actual test data are summarized.Keywords
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