Methods of computerized adaptive testing using conventional scoring methods in order to develop a computerized placement test for the Test of English as a Foreign Language (TOEFL) were studied. As a consequence of simulation studies during the first phase of the study, the multilevel testing paradigm was adopted to produce three test levels…

Probabilistic models with more than one latent variable are designed to report profiles of skills or cognitive attributes. Testing programs want to offer additional information beyond what a single test score can provide using these skill profiles. Many recent approaches to skill profile models are limited to dichotomous data and have made use of…