Applying Q-matrix based item relational structure theory to multiplications of fractions

Hsiang Chuan Liu, Hsien Chang Tsai, Shang Ling Ou, Shih Neng Wu, Yih Chang Ou, Tung Sheng Liu

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

Abstract

For any given test, the traditional item relational structure theory can be used for detecting the item relational structure of the students. However, we do not know whether each item of the test is efficient or not, for improving above-mentioned drawback, we can first use the Q-matrix theory to obtain a validate test with all items which are efficient. In this paper, efficient items of the multiplications of fractions were constructed accordingly. Using Liu's before-test item structure theory, we can construct the efficient before-test item structural of the test. After testing the students, we can use the traditional item relational structure theory to construct the efficient after-test item structural of the students, and then, using Liu's criterion related validity index, we can evaluate the item relational structure of the test, and the results could be useful for cognitive diagnosis and remedial instruction.

Original languageEnglish
Title of host publicationProceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012
Pages361-366
Number of pages6
Publication statusPublished - 2012 Dec 1
Event2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012 - Taipei, Taiwan
Duration: 2012 Oct 232012 Oct 25

Publication series

NameProceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012

Other

Other2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012
CountryTaiwan
CityTaipei
Period12-10-2312-10-25

Fingerprint

Students
Testing

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Software

Cite this

Liu, H. C., Tsai, H. C., Ou, S. L., Wu, S. N., Ou, Y. C., & Liu, T. S. (2012). Applying Q-matrix based item relational structure theory to multiplications of fractions. In Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012 (pp. 361-366). [6528658] (Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012).
Liu, Hsiang Chuan ; Tsai, Hsien Chang ; Ou, Shang Ling ; Wu, Shih Neng ; Ou, Yih Chang ; Liu, Tung Sheng. / Applying Q-matrix based item relational structure theory to multiplications of fractions. Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012. 2012. pp. 361-366 (Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012).
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abstract = "For any given test, the traditional item relational structure theory can be used for detecting the item relational structure of the students. However, we do not know whether each item of the test is efficient or not, for improving above-mentioned drawback, we can first use the Q-matrix theory to obtain a validate test with all items which are efficient. In this paper, efficient items of the multiplications of fractions were constructed accordingly. Using Liu's before-test item structure theory, we can construct the efficient before-test item structural of the test. After testing the students, we can use the traditional item relational structure theory to construct the efficient after-test item structural of the students, and then, using Liu's criterion related validity index, we can evaluate the item relational structure of the test, and the results could be useful for cognitive diagnosis and remedial instruction.",
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Liu, HC, Tsai, HC, Ou, SL, Wu, SN, Ou, YC & Liu, TS 2012, Applying Q-matrix based item relational structure theory to multiplications of fractions. in Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012., 6528658, Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012, pp. 361-366, 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012, Taipei, Taiwan, 12-10-23.

Applying Q-matrix based item relational structure theory to multiplications of fractions. / Liu, Hsiang Chuan; Tsai, Hsien Chang; Ou, Shang Ling; Wu, Shih Neng; Ou, Yih Chang; Liu, Tung Sheng.

Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012. 2012. p. 361-366 6528658 (Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012).

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

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M3 - Conference contribution

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Liu HC, Tsai HC, Ou SL, Wu SN, Ou YC, Liu TS. Applying Q-matrix based item relational structure theory to multiplications of fractions. In Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012. 2012. p. 361-366. 6528658. (Proceedings - 2012 6th International Conference on New Trends in Information Science, Service Science and Data Mining (NISS, ICMIA and NASNIT), ISSDM 2012).