In this paper, formulas for computing the weights that maximize the reliability of a test with multiple parts are derived using a congeneric model. A direct derivation for the three-part test and case and a two-step derivation for the n-part case are presented, and results for these two approaches are shown to be consistent for the three-part…

This paper compares modified Guttman and item response theory (IRT) based procedures for classifying examinees in ordered levels when each level is represented by several multiple choice test items. In the modified Guttman procedure, within-level number correct scores are mapped to binary level mastery scores. Examinees are then assigned to levels…