Administrative problems such as computer malfunction and power outage occasionally lead to missing item scores and hence to incomplete data on mastery tests such as the AP and U.S. Medical Licensing examinations. Investigators are often interested in estimating the probabilities of passing of the examinees with incomplete data on mastery tests.…

A problem of considerable importance in certain educational settings is determining how many items to include on a mastery test. Applying ranking and selection procedures, a solution is given which includes as a special case all existing single-stage, non-Bayesian solutions based on a strong true-score model. (Author/JKS)

Testing with personal probabilities eliminates guessing whether the subjects are well calibrated. A probability testing study with 47 Dutch elementary school children who used an interactive computer program shows that even 11-year-olds can estimate their personal probabilities correctly. (SLD)