A Tailored Testing Model Employing the Beta Distribution and Conditional Difficulties
Stanley J. Kalisch · The Journal of Computer Based Instruction · 1974
A tailored testing model employing the beta distribution, whose mean equals the difficulty of an item and whose variance is approximately equal to the sampling variance of the item difficulty, and employing conditional item difficulties, is proposed. The model provides a procedure by which a minimum number of items of a test, consisting of a set of pre-specified items, is presented to an individual, and the correctness of the individual's responses to the remaining items is predicted. A validation study of the procedure indicates that the model is feasible.