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The Design and Realization of CAT with Cognitive Diagnosis based on Formal Concept Analysis

In this paper, combined with Tatsuoka 's Rule Space Model and the Attribute hierarchy Method (AHM), Formal Concept Analysis (FCA) is firstly applied into Computerized Adaptive Testing (CAT). Based on FCA, an initiatory and systemic CAT with cognitive diagnosis (CD) is designed, which diagnoses examinees real time. The result of Monte Carlo study shows that examinees ' knowledge states are well diagnosed and the precision in examinees ' abilities estimation is satisfied.