规则空间模型在统计学习模式识别中的应用研究
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摘要
规则空间模型是一种将认知心理学和心理计量学相结合的认知诊断模型，它可用于识别被试解题的认知错误和判别被试的属性掌握模式。本文应用规则空间模型判别学生的属性掌握模式(即知识结构)，并应用结构方程模型对属性间层级关系进行验证。根据299名被试在测验项目上的作答反应将他们划归为30种不同的属性掌握模式。
The rule space model is a cognitive diagnose model which combines with the
cognitive psychology and psychometric. It can be applied to identify cognitive errors in students' problem solving and to classify the examinees into a set of attribute-mastery patterns. The paper researches the relationship among the attributes and applies the structural equation model to confirm the logical relationship among the attributes. And the paper also classifies 299 examinees' test item responses into thirty kinds of attribute-mastery patterns.
The rule space model is a cognitive diagnose model which combines with the
cognitive psychology and psychometric. It can be applied to identify cognitive errors in students' problem solving and to classify the examinees into a set of attribute-mastery patterns. The paper researches the relationship among the attributes and applies the structural equation model to confirm the logical relationship among the attributes. And the paper also classifies 299 examinees' test item responses into thirty kinds of attribute-mastery patterns.
引文
1．漆书青，戴海崎，丁树良：《现代教育与心理测量学原理》，江西教育出版社，1998年12月出版。
2．张厚粲，龚文：《当前心理测验的发展与现状》，《心理学探新》，1995．1。
3．戴海崎：《三大测验理论性能比较研究》，《心理学探新》，1995．2。
4．余嘉元：《运用规则空间模型识别解题中的认知错误》，《心理学报》，1995．5。
5．黄桂君，吴裕益：《选择式分数减法诊断测验之建构效度分析》，《中国测验学会测验年刊》，Vol 47，No2，63-90。
6．江哲光，侯杰泰：《应用结构方程模式之问题和谬误》，《教育学报》，Vol 25(1)，1997。
7．孟庆茂，侯杰泰：《协方差结构模型与多层线性模型原理及应用》，《北京师范大学心理计量与统计分析研究室》。
8. Mark J. Gierl(2000). An NCME Introductional Module on Exploring the Logic of Tatsuoka's Rule-Space Model for Test Development and Analysis. Journal of Educational Measurement, Fall 2000, (34-44).
9. Kikumi k. Tatsuoka & Maurice M. Tatsuoka. Computeriaed Cognitive Diagnostic Adaptive Testing: Effect on Remedial Instruction as Empirical Vadidation. Journal of Educational Measurement, 34, (13-20).
10. Tatsuoka, k .k(1984) Changes in Error Types Over Learning Stages. Journal of Educational Psychology, 76(1), (120-129).
11. Delwyn L. Harnisch & Robert L. Linn Analysis of Item Response Pattern:Questionable Test Data and Dissimilar Curriculum Practices. Journal of Educational Measurement, 18, (133-146).
12. Menucha Birenbaum & K.K. Tatsuoka On the Dimens ionality of Achievement Test Data. Journal of Educational measurement, 19, (259-266).
13. Menucha Birenbaum & K.K. Tatsuoka(1983) The Effect of a Scoring Svstem Based on the Algorithm Underlying the students' Response Patterns on the dimensionality of Achievement Test Data of the Problem
Solving Type. Journal of Educational Measurement, 20(1), (17-26).
14. Paul, D. Nichols, Susan, F. Chipman, Robert, L. Brennan. (ED)Cognitive Diagnostic Assessment. Lawrence Erlbaum Associates Inc, 1995.
15. K.K. Tatsuoka & M.M. Tatsuoka(1983) Spotting Erroneous Rules of Operation by the Individual Consistency Index. Journal of Educational Measurement, 20(3), (221-230).
16. K.K. Tatsuoka(1983). Rule Space: An Approach for Dealing with Misconceptions Based on Item Response Theory. Journal of Educational Measurement, 20, (345-354).
17. K.K. Tatsuoka(1990). Toward an Integration of Item Response Theory and Cognitive Error Diagnosis. In N. Fredickson, R.L. Glaser, A.M. Lesgold,& M.G. Shafto(Eds), Diagnostic Monitoring of Skills and Knowledge Acquisition(453-488) ,Hillsdale, NJ:Erlbaum.
18. K.K. Tatsuoka(1996). Use of generalized Person-Fit Indexes, Zetas for Statistical Pattern Classification. Applied Measurement in Education, 9,(65-75).
19. K.K. Tatsuoka & M.M. Tatsuoka (1987). Bug Distribution and Statistical Pattern Classification . Psychometrica, 52, (193-206).
20. M.M. Tatsuoka & K.K. Tatsuoka(1989). Rule Space. In S. Kotz & N.L. Johnson(Eds.),Encyclopedia of Statistical Sciences (217-220).New York:Wiley.
2．张厚粲，龚文：《当前心理测验的发展与现状》，《心理学探新》，1995．1。
3．戴海崎：《三大测验理论性能比较研究》，《心理学探新》，1995．2。
4．余嘉元：《运用规则空间模型识别解题中的认知错误》，《心理学报》，1995．5。
5．黄桂君，吴裕益：《选择式分数减法诊断测验之建构效度分析》，《中国测验学会测验年刊》，Vol 47，No2，63-90。
6．江哲光，侯杰泰：《应用结构方程模式之问题和谬误》，《教育学报》，Vol 25(1)，1997。
7．孟庆茂，侯杰泰：《协方差结构模型与多层线性模型原理及应用》，《北京师范大学心理计量与统计分析研究室》。
8. Mark J. Gierl(2000). An NCME Introductional Module on Exploring the Logic of Tatsuoka's Rule-Space Model for Test Development and Analysis. Journal of Educational Measurement, Fall 2000, (34-44).
9. Kikumi k. Tatsuoka & Maurice M. Tatsuoka. Computeriaed Cognitive Diagnostic Adaptive Testing: Effect on Remedial Instruction as Empirical Vadidation. Journal of Educational Measurement, 34, (13-20).
10. Tatsuoka, k .k(1984) Changes in Error Types Over Learning Stages. Journal of Educational Psychology, 76(1), (120-129).
11. Delwyn L. Harnisch & Robert L. Linn Analysis of Item Response Pattern:Questionable Test Data and Dissimilar Curriculum Practices. Journal of Educational Measurement, 18, (133-146).
12. Menucha Birenbaum & K.K. Tatsuoka On the Dimens ionality of Achievement Test Data. Journal of Educational measurement, 19, (259-266).
13. Menucha Birenbaum & K.K. Tatsuoka(1983) The Effect of a Scoring Svstem Based on the Algorithm Underlying the students' Response Patterns on the dimensionality of Achievement Test Data of the Problem
Solving Type. Journal of Educational Measurement, 20(1), (17-26).
14. Paul, D. Nichols, Susan, F. Chipman, Robert, L. Brennan. (ED)Cognitive Diagnostic Assessment. Lawrence Erlbaum Associates Inc, 1995.
15. K.K. Tatsuoka & M.M. Tatsuoka(1983) Spotting Erroneous Rules of Operation by the Individual Consistency Index. Journal of Educational Measurement, 20(3), (221-230).
16. K.K. Tatsuoka(1983). Rule Space: An Approach for Dealing with Misconceptions Based on Item Response Theory. Journal of Educational Measurement, 20, (345-354).
17. K.K. Tatsuoka(1990). Toward an Integration of Item Response Theory and Cognitive Error Diagnosis. In N. Fredickson, R.L. Glaser, A.M. Lesgold,& M.G. Shafto(Eds), Diagnostic Monitoring of Skills and Knowledge Acquisition(453-488) ,Hillsdale, NJ:Erlbaum.
18. K.K. Tatsuoka(1996). Use of generalized Person-Fit Indexes, Zetas for Statistical Pattern Classification. Applied Measurement in Education, 9,(65-75).
19. K.K. Tatsuoka & M.M. Tatsuoka (1987). Bug Distribution and Statistical Pattern Classification . Psychometrica, 52, (193-206).
20. M.M. Tatsuoka & K.K. Tatsuoka(1989). Rule Space. In S. Kotz & N.L. Johnson(Eds.),Encyclopedia of Statistical Sciences (217-220).New York:Wiley.