Papers by Keyword: Item Relational Structure

Abstract: In this paper, an improved polytomous item relational structure theory based on Q-matrix theory is proposed, using Tatsuoka’s Q-matrix theory, we can construct the test with all efficient items which are fitting in with the given relational structure of cognitive attributes, and then, before the test, using Liu’s before-test item ordering theory, an ideal relational structural graph of itemscan be constructed, and the real efficient items can be obtained accordingly. After testing the students, an after-test structure of items can be estimated by using the Liu’s polytomous item relational structure theory. Furthermore, using Liu’s criterion related validity index, we can evaluate the estimated item relational structure of the test, and the results could be useful for cognitive diagnosis and remedial instruction.

Abstract: The purpose of this study is to integrate two methodological approaches to explore concept structures. One approach is student-problem chart (S-P chart) and ordering theory (OT) and the other is fuzzy clustering and item relational structure (IRS). S-P chart is adopted to classify all students into proper learning styles. OT is to determine hierarchies of concept structures. Fuzzy clustering is soft computation to cluster features of students and combine IRS so as to determine the precondition and ordering relationship among items. The empirical data is statistics concepts test of university students. The results show that integration of these two approaches is feasible for cognition diagnosis and would be helpful for remedial instruction. Finally, some suggestions and recommendations for future research and educational research are provided.