Uncovering the Best Skill Multimap by Constraining the Error Probabilities of the Gain-Loss Model

作者：Anselmi Pasquale^*; Robusto Egidio; Stefanutti Luca

来源：Psychometrika, 2012, 77(4): 763-781.

DOI：10.1007/s11336-012-9286-0

• knowledge space theory
• knowledge structure
• Gain-Loss model
• skill multimap
• learning process
• constrained parameter estimation

The Gain-Loss model is a probabilistic skill multimap model for assessing learning processes. In practical applications, more than one skill multimap could be plausible, while none corresponds to the true one. The article investigates whether constraining the error probabilities is a way of uncovering the best skill assignment among a number of alternatives. A simulation study shows that this approach allows the detection of the models that are closest to the correct one. An empirical application shows that it allows the detection of models that are entirely derived from plausible assumptions about the skills required for solving the problems.

• 出版日期2012-10