Liu's polytomous item relational structure theory based on Q-matrix theory

Hsiang Chuan Liu, Bai Cheng Jeng, Hsien-Chang Tsai, Yen Kuei Yu, Ching Yu Lu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationInformation, Communication and Engineering
Pages93-98
Number of pages6
DOIs
Publication statusPublished - 2013 Mar 19
Event2012 International Conference on Information, Communication and Engineering, ICICE 2012 - Fuzhou, Taiwan
Duration: 2012 Dec 152012 Dec 20

Publication series

NameApplied Mechanics and Materials
Volume311
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Other

Other2012 International Conference on Information, Communication and Engineering, ICICE 2012
CountryTaiwan
CityFuzhou
Period12-12-1512-12-20

Fingerprint

Students
Testing

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Liu, H. C., Jeng, B. C., Tsai, H-C., Yu, Y. K., & Lu, C. Y. (2013). Liu's polytomous item relational structure theory based on Q-matrix theory. In Information, Communication and Engineering (pp. 93-98). (Applied Mechanics and Materials; Vol. 311). https://doi.org/10.4028/www.scientific.net/AMM.311.93
Liu, Hsiang Chuan ; Jeng, Bai Cheng ; Tsai, Hsien-Chang ; Yu, Yen Kuei ; Lu, Ching Yu. / Liu's polytomous item relational structure theory based on Q-matrix theory. Information, Communication and Engineering. 2013. pp. 93-98 (Applied Mechanics and Materials).
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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.",
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Liu, HC, Jeng, BC, Tsai, H-C, Yu, YK & Lu, CY 2013, Liu's polytomous item relational structure theory based on Q-matrix theory. in Information, Communication and Engineering. Applied Mechanics and Materials, vol. 311, pp. 93-98, 2012 International Conference on Information, Communication and Engineering, ICICE 2012, Fuzhou, Taiwan, 12-12-15. https://doi.org/10.4028/www.scientific.net/AMM.311.93

Liu's polytomous item relational structure theory based on Q-matrix theory. / Liu, Hsiang Chuan; Jeng, Bai Cheng; Tsai, Hsien-Chang; Yu, Yen Kuei; Lu, Ching Yu.

Information, Communication and Engineering. 2013. p. 93-98 (Applied Mechanics and Materials; Vol. 311).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Liu HC, Jeng BC, Tsai H-C, Yu YK, Lu CY. Liu's polytomous item relational structure theory based on Q-matrix theory. In Information, Communication and Engineering. 2013. p. 93-98. (Applied Mechanics and Materials). https://doi.org/10.4028/www.scientific.net/AMM.311.93