Liu’s Polytomous Item Relational Structure Theory Based on Q-Matrix Theory

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 tes...

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Bibliographic Details
Published inApplied Mechanics and Materials Vol. 311; pp. 93 - 98
Main Authors Jeng, Bai Cheng, Lu, Ching Yu, Liu, Hsiang Chuan, Yu, Yen Kuei, Tsai, Hsien Chang
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.02.2013
Subjects
Item Relational Structure
Q-Matrix
Efficient Item
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Summary: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.
Bibliography:Selected, peer reviewed papers from the 2012 International Conference on Information, Communication and Engineering (ICICE 2012), December 15-20, 2012, Fuzhou, Taiwan
ISBN:9783037856727
3037856726
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.311.93