A Correct Response Model in knowledge structure theory

In knowledge space theory, the (latent) state of a student consists subset test items that he masters in principle. Even at given stage apprenticeship, student’s may vary collection subsets. The all possible states potential students forms structure. modeling answer production, probabilities governing are parameters. Moreover, for each item, two additional parameters capture careless errors and lucky guesses answers to item. From latter parameters, Correct Response Model (CRM) predicts probability correct any isolated same Basic Local Independence (BLIM) pattern responses. Here, particular records time which would provide answers. While general properties BLIM (such as identifiability parameters) have been investigated, simpler still requires scrutiny. present paper investigates CRM regards testability, characterizability. It either provides explicit or points out serious difficulties garnered from various mathematical disciplines.