METHOD AND APPARATUS FOR LEARNER DIAGNOSIS USING RELIABILITY OF COGNITIVE DIAGNOSTIC MODEL
First Claim
1. A method for learner diagnosis using reliability of a cognitive diagnostic model, which estimates the reliability of the cognitive diagnostic model that estimates a concept vector (α
- ) of a learner through a Q-matrix regarding a question and an R-matrix regarding a response to a question, the method comprising;
assuming a probability (P(X|α
)) of a learner response (X) when a concept vector (α
) of a learner is given;
obtaining a concept pattern-specific probability (P(α
|X)) of the learner from the assumed concept vector and learner response of the learner;
obtaining an information entropy (H) value of the learner from the concept pattern-specific probability (P(α
|X)) of the learner; and
obtaining reliability (γ
) of an estimated result of a learner-specific concept understanding using the information entropy value of the learner and a number of concepts.
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Abstract
Provided are an apparatus and method for learner diagnosis using reliability of a cognitive diagnostic model, which estimates the reliability of the cognitive diagnostic model that estimates a concept vector (α) of a learner through a Q-matrix regarding a question and an R-matrix regarding a response to a question, the method including assuming a probability (P(X|α)) of a learner response (X) when a concept vector (α) of a learner is given; obtaining a concept pattern-specific probability (P(α|X)) of the learner from the assumed concept vector and learner response of the learner; obtaining an information entropy (H) value of the learner from the concept pattern-specific probability (P(α|X)) of the learner; and obtaining reliability (γ) of an estimated result of a learner-specific concept understanding using the information entropy value of the learner and a number of concepts.
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Citations
8 Claims
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1. A method for learner diagnosis using reliability of a cognitive diagnostic model, which estimates the reliability of the cognitive diagnostic model that estimates a concept vector (α
- ) of a learner through a Q-matrix regarding a question and an R-matrix regarding a response to a question, the method comprising;
assuming a probability (P(X|α
)) of a learner response (X) when a concept vector (α
) of a learner is given;obtaining a concept pattern-specific probability (P(α
|X)) of the learner from the assumed concept vector and learner response of the learner;obtaining an information entropy (H) value of the learner from the concept pattern-specific probability (P(α
|X)) of the learner; andobtaining reliability (γ
) of an estimated result of a learner-specific concept understanding using the information entropy value of the learner and a number of concepts. - View Dependent Claims (2, 3, 4)
- ) of a learner through a Q-matrix regarding a question and an R-matrix regarding a response to a question, the method comprising;
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5. An apparatus for learner diagnosis using reliability of a cognitive diagnostic model, comprising:
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a learner response probability calculation unit configured to assume a probability (P(X|α
)) of a learner response (X) when a concept vector (α
) of a learner is given;a concept pattern-specific probability calculation unit configured to obtain a concept pattern-specific probability (P(α
|X)) of the learner as a posterior probability;a learner information entropy calculation unit configured to obtain an information entropy (H) value of the learner from the concept pattern-specific probability (P(α
|X)) of the learner; anda reliability calculation unit configured to obtain reliability (γ
) of an estimated result of a learner-specific concept understanding using the information entropy value of the learner and a number of concepts. - View Dependent Claims (6, 7, 8)
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Specification