Prior Distribution and Entropy in Computer Adaptive Testing Ability Estimation through MAP or EAP.

To derive a latent trait (for instance ) in a computer adaptive testing (CAT) framework, the obtained results from a model must have a direct relationship to the examinees' response to a set of items presented. The set of items is previously calibrated to decide which item to present to the examinee in the next evaluation question. Some useful models are more naturally based on conditional probability in order to involve previously obtained hits/misses.