The kappamax reliability index of domain-referenced tests is defined as the upper bound of kappa when all possibile cutoff scores are considered. Computational procedures for kappamax are described, as well as its approximation for long tests, based on Kuder-Richardson formula 21. The sampling error of kappamax, and the effects of test length and…

Two indices for assessing the efficiency of decisions in mastery testing are proposed. The indices are generalizations of the raw agreement index and the kappa index. Empirical examples of these indices are given. (Author/JKS)

Within the beta-binomial Bayesian framework, procedures are described for the evaluation of the kappa index of reliability on the basis of one administration of a domain-referenced test. Major factors affecting this index include cutoff score, test score variability and test length. Empirical data which substantiate some theoretical trends deduced…

Within the multivariate normality framework, a formula is provided for computation of the criterion-related validity of composite scores based on the highest (or lowest) of several equivalent measures. This partial composite score has more validity than each single observation, but less validity than a composite based on all observations. (SLD)

Presents a procedure, based on a Bayesian updating of the item information, for locating on the latent trait scale the scores or responses of items that follow the three-parameter logistic and monotone partial credit models. Applications are provided in terms of selecting items or score categories for criterion-referenced interpretation of mapping…

A Bayesian framework for making mastery/nonmastery decisions based on multivariate test data is described. Overall, mastery is granted if the posterion expected loss associated with such action is smaller than the one incurred by denying mastery. (Author/JKS)

A nonrandomized minimax solution is presented for passing scores on mastery tests using the binomial error model. The computation does not require prior knowledge regarding an individual examinee or group test data for a population of examinees. A scheme which allows for correction for guessing is also described. (Author/JKS)

By noting that a Rasch or two parameter logistic (2PL) item belongs to the exponential family of random variables and that the probability density function (pdf) of the correct response (X=1) and the incorrect response (X=0) are symmetric with respect to the vertical line at the item location, it is shown that the conjugate prior for ability is…

A procedure is described for the determination of individual mastery scores when instructional units are sequenced in a linear hierarchy. It can be used when data for the entire sequence have been obtained. The process entails working backwards, from the final test to the first. (Author/JKS)