Cognitive or skills diagnosis models are discrete latent variable models developed specifically for the purpose of identifying the presence or absence of multiple fine-grained skills. However, applications of these models typically involve dichotomous or dichotomized data, including data from multiple-choice (MC) assessments that are scored as…

One of the most serious difficulties in the estimation of omega[subscript hierarchical] ([omega][subscript h]) has not been previously studied. Although it is true that one can impose a set of identifying constraints on one's solution to derive an estimate of [omega][subscript h] in the two-group factor case, there is the potential for introducing…