Estimating True-Score Distributions in Psychological Testing (An Empirical Bayes Estimation Problem)
- Author(s):
- Lord, Frederic M.
- Publication Year:
- 1967
- Report Number:
- RB-67-37
- Source:
- ETS Research Bulletin
- Document Type:
- Report
- Page Count:
- 44
- Subject/Key Words:
- Bayesian Statistics, Error of Measurement, Estimation (Mathematics), Score Distribution, True Scores
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.
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- http://dx.doi.org/10.1002/j.2333-8504.1967.tb00535.x