Graphical representations of items and tests that are measuring multiple abilities

Abstract

This article compares graphical representations of items and tests for four different multidimensional item response theory (MIRT) models: compensatory logistic model, the noncompensatory logistic model, a noncompensatory diagnostic model (DINA), and a compensatory diagnostic model (CRUM/GDM). Graphical representations can provide greater insight for measurement specialists and item/test developers about the validity and reliability of the multidimensional tests. They also can provide a link between quantitative analyses and substantive interpretations of the score scale and inform the test development process.