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--- knowledge_assessment:q-matrix [2012/07/05 10:09]
jpetrovic
+++ knowledge_assessment:q-matrix [2012/07/05 13:02]
jpetrovic
@@ Line 7: / Line 7: @@
 {{:knowledge_assessment:qm.jpg}}
+The goal of q-matrix construction is to extract underlying, or latent, variables, which account for studentsí differential performance on questions.
 Approaches:
-   * Hand construction of the q-matrix by experts' assigning concepts to questions and then comparing student answers to closest matrix responses. Problems: a q-matrix is a much more abstract measure of the relationships of questions to concepts. We might assume that the
+   * Hand construction of the q-matrix by experts' assigning concepts to questions and then comparing student answers to closest matrix responses. Problems: a q-matrix is a much more abstract measure of the relationships of questions to concepts. We might assume that the questions designed to test students are a more accurate reflection of the teaching objectives than an abstract construct which relates questions to underlying concepts.
-questions designed to test students are a more accurate reflection of the teaching objectives than an abstract construct which relates questions to underlying concepts.
+   * The alternative to this strategy is to design a method to extract a q-matrix, which explains student behavior, and reveals the underlying relationships between questions. Experts can examine the resulting q-matrix 25 to ensure that the extracted relationships seem to be valid, and then use that q-matrix to guide the generation of new problems.
-   *
+Factor analysis:
+How to automatically determine concepts? Using covariance matrix. Number of concepts should be smaller than number of questions. Still, this methos has proven to be less fault tollerant.

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