Several types of parameterizations of attribute correlations in cognitive diagnosis models use the reduced reparameterized unified model. The general approach presumes an unconstrained correlation matrix with K(K - 1)/2 parameters, whereas the higher order approach postulates K parameters, imposing a unidimensional structure on the correlation…

Investigated three models that permit restricted examinee control over revising previous answers in the context of adaptive testing, using simulation. Two models permitting item revisions worked well in preserving test fairness and accuracy, and one model may preserve some cognitive processing styles developed by examinees for a linear testing…