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--- knowledge_assessment:q-matrix [2012/07/05 14:41]
jpetrovic
+++ knowledge_assessment:q-matrix [2012/07/11 10:02]
jpetrovic [What is a q-matrix?]
@@ Line 1: / Line 1: @@
-Q-matrix is a
+==== 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 represented by a binary matrix showing the relationship between test items and latent or underlying attributes, or concepts.
+==== 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.
+==== What can I do with a q-matrix? ====
+==== How do I create a q-matrx? ====
    * "//method, which examines the inputs of many students to automatically extract relationships between questions and underlying concepts, and then uses those relationships in diagnosing and correcting student misconceptions.//"
    * domain-independent knowledge model

Learning Theories