Theoretical Approach to Reduced Q-Matrix for Cognition Diagnosis

Hsiang Chuan Liu

doi:10.4028/www.scientific.net/AMM.284-287.3145

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 284-287Theoretical Approach to Reduced Q-Matrix for...

Theoretical Approach to Reduced Q-Matrix for Cognition Diagnosis

Abstract:

The main issue of the Q-matrix theory for cognition diagnosis is how to find the reduced Q-matrix containing the all efficient items. In this paper, based on the attribute structure matrix transformation, a novel recognition function for an efficient item vector is proposed. Two fast algorithms, transformation algorithm and expansion algorithm for finding the reduced Q-matrix are proposed as well. Some important properties are also discussed.