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Probability-of-coverage tolerance intervals for the beta binomial
Authors:David Jarjoura
Institution:(1) Division of Community Health Sciences, Northeastern Ohio Universities College of Medicine, PO Box 95, 44272 Rootstown, OH
Abstract:True score tolerance intervals, which are designed to cover a chosen proportion of the conditional distribution of true scores given an observed score, are suggested as alternatives to true score confidence intervals. Using large sample theory, a tolerance interval estimator for the beta binomial is derived. An example indicates that with moderate sample sizes, tolerance intervals with high probability of coverage will not be much wider than when the two beta true score parameters are known.The author acknowledges valuable comments from Richard Sawyer.Most work was completed while the author was at the American College Testing Program.
Keywords:beta binomial  tolerance intervals  true score intervals
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