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Bug distribution and statistical pattern classification. (English) Zbl 0647.62095

Summary: 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 by the authors earlier [see e.g. J. Educational Measurement 20, 221-230 (1983)]. 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.

MSC:

62P15 Applications of statistics to psychology
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