A family of learning models that integrates a cognitive diagnostic model and a higher-order, hidden Markov model in one framework is proposed. This new framework includes covariates to model skill transition in the learning environment. A Bayesian formulation is adopted to estimate parameters from a learning model. The developed methods are…

Employed two strategies used to test prerequisite relationships among intellectual skills to examine the sequence of three types of subtraction tasks. A psychometric validation strategy yielded results similar to instructional validation strategy. Supports the use of the more efficient psychometric approach for validating large numbers of learning…