The DINA (deterministic input, noisy, and gate) model has been widely used in cognitive diagnosis tests and in the process of test development. The outcomes known as slip and guess are included in the DINA model function representing the responses to the items. This study aimed to extend the DINA model by using the random-effect approach to allow…

How to measure growth in knowledge and ability over time in curriculum research is explored. Two broad classes of probabilistic models are considered, the Rasch model and latent class models with their associated generalizations. Potential of both classes for measuring categorical change is discussed. (SLD)