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Bug Distribution and Statistical Pattern Classification

Published online by Cambridge University Press:  01 January 2025

Kikumi K. Tatsuoka  and
Maurice M. Tatsuoka
Kikumi K. Tatsuoka*
Affiliation:
University of Illinois at Urbana-Champaign Computer-Based Education Research Laboratory
Maurice M. Tatsuoka
Affiliation:
University of Illinois at Urbana-Champaign
*
Requests for reprints should be sent to Kikumi Tatsuoka, Computer-based Education Research Laboratory, 252 Engineering Research Laboratory, 103 S. Mathews Avenue, Urbana, IL 61801.
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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.

Keywords

rule space modelcognitive error diagnosistask analysiserror analysisbug distributionBayes' decision rulespattern classificationitem response theorystochastic model

Information

Type
Original Paper
Information
Psychometrika , Volume 52 , Issue 2 , March 1987 , pp. 193 - 206
Copyright
Copyright © 1987 The Psychometric Society

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Footnotes

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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