Abstract
A model (called the rule space model) which permits measuring cognitive skill acquisition, diagnosing cognitive errors, detecting the weaknesses and strengths of knowledge possessed by individuals was introduced earlier. This study further discusses the theoretical foundation of the model by introducing “bug distribution” and hypothesis testing (Bayes' decision rules for minimum errors) for classifying subjects into their most plausible latent state of knowledge. The model is illustrated with the domain of fraction arithmetic and compared with the results obtained from a conventional artificial intelligence approach.
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The authors would like to acknowledge Mr. Robert Baillie for developing several computer programs used for this research.
This research was sponsored by the Personnel and Training Research Program, Psychological Sciences Division, Office of Naval Research.
Some of the analyses presented in this report were performed on the PLATO® system. The PLATO® system is a development of the University of Illinois and PLATO® is a service mark of the Control Data Corporation.
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Tatsuoka, K.K., Tatsuoka, M.M. Bug distribution and statistical pattern classification. Psychometrika 52, 193–206 (1987). https://doi.org/10.1007/BF02294234
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DOI: https://doi.org/10.1007/BF02294234