knowledge_assessment:q-matrix
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knowledge_assessment:q-matrix [2012/07/11 10:01] jpetrovic [What is a q-matrix?] |
knowledge_assessment:q-matrix [2012/07/11 10:02] jpetrovic [What is a q-matrix?] |
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| ==== What is a q-matrix? ==== | ==== What is a q-matrix? ==== | ||
| - | Q-matrix is a matrix describing relations of questions and concepts required for their understanding. It is a domain-independent model of knowledge. | + | Q-matrix is a matrix describing relations of questions and concepts required for their understanding. It is a domain-independent model of knowledge represented by a binary matrix showing the relationship between test items and latent or underlying attributes, or concepts. |
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| + | ==== How does a q-matrix look like? ==== | ||
| Q-matrix is a M//x//N matrix, where M equals the number of questions in an assessment, and N equals the total number of concepts required for understanding all questions. The matrix element A[i,j] equals 1 if the i-th concept is required for correctly answering j-th question and 0 if the i-th concept is NOT required for correctly answering j-th question. Alternatively, matrix values can be not just {0,1}, but real numbers from the interval [0,1], describing the probability that a student who knows i-th concept will correctly answer j-th question. | Q-matrix is a M//x//N matrix, where M equals the number of questions in an assessment, and N equals the total number of concepts required for understanding all questions. The matrix element A[i,j] equals 1 if the i-th concept is required for correctly answering j-th question and 0 if the i-th concept is NOT required for correctly answering j-th question. Alternatively, matrix values can be not just {0,1}, but real numbers from the interval [0,1], describing the probability that a student who knows i-th concept will correctly answer j-th question. | ||
knowledge_assessment/q-matrix.txt · Last modified: 2023/06/19 18:03 (external edit)
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