Authors
Michel Desmarais, Behzad Beheshti, Peng Xu
Publication date
2014/7/4
Conference
Educational Data Mining 2014
Description
The objective of specifying which skills are required in a given task is fundamental for the accurate assessment of a student’s knowledge and for personalizing tutor interaction towards more relevant and effective assessment and learning. We compare three data driven techniques for the validation of skills-to-tasks mappings. All methods start from a given mapping, typically obtained from domain experts, and use optimization techniques to suggest a refined version of the skills-to-task mapping. To validate the different techniques, we inject perturbations in the Q-matrix and verify whether the original Q-matrix can be recovered. Tests are run over both simulated and real data. The analysis of the Q-matrix refinements of each technique over ten data sets shows that, in general, around 1/2 to 2/3 of the perturbations can be restored to their original values, but a number of potentially wrong perturbations are also introduced. The number of correctly restored and falsely switched values vary across the three techniques and between synthetic and real data. For 1 to 10 perturbations injected, simulated data recovery rate is around 2/3, and invalid alterations introduced vary around 2 to 3. For real data, the two best techniques generally recover about half the perturbations injected, but introduce between 5 and 7 alterations inconsistent with the original, expert defined Q-matrix, although some of them may be real improvements.
Total citations
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