Several Bayesian approaches to the simultaneous estimation of the means of k binomial populations are discussed. This has particular applicability to criterion-referenced or mastery testing. (Author/JKS)

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)

Various procedures and guidelines have been suggested for the development and construction of criterion-referenced tests. The present paper proposes a comprehensive model which allows the user to identify and relate specific components which affect the optimal construction and implementation strategies of criterion-referenced tests. Furthermore,…