An improved Liu's ordering theory based on empirical distributive critical value

Hsiang Chuan Liu, Ben Chang Shia, Der Yin Cheng

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

Abstract

Since the Ordering Theory (OT) has only considered the item ordering relationship rather than the item non-independence, and the Item Relational Structure theory (IRS) has only focused on the item non-independence but no thought for the item ordering relationship, the first author of this paper proposed his improved theory, called Liu's Ordering Theory (LOT), which has considered both the item ordering relationship and item non-independence. However, all of the critical values of the ordering index of above-mentioned three theories are subjectively fixed numbers. In this paper, for overcoming the lack of statistical meaning, an empirical distributive critical value of the ordering index based improved LOT theory, denoted as ILOT, was proposed, this new theory is more reasonable and useful than OT, IRS and LOT. Furthermore, by using the new method ILOT, based on the theory of the ideal test proposed by the first author of this paper, we can construct the validity index of item ordering structure of any group of examinees to compare the performances of any different groups of examinees.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages207-217
Number of pages11
Volume8482 LNAI
EditionPART 2
ISBN (Print)9783319074665
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event27th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2014 - Kaohsiung, Taiwan
Duration: Jun 3 2014Jun 6 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume8482 LNAI
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other27th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2014
CountryTaiwan
CityKaohsiung
Period6/3/146/6/14

Keywords

  • IRS and LOT
  • non-independence
  • Ordering relationship
  • OT

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

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  • Cite this

    Liu, H. C., Shia, B. C., & Cheng, D. Y. (2014). An improved Liu's ordering theory based on empirical distributive critical value. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (PART 2 ed., Vol. 8482 LNAI, pp. 207-217). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8482 LNAI, No. PART 2). Springer Verlag. https://doi.org/10.1007/978-3-319-07467-2_22