Polytomous item relational structure theory based on empirical distribution critical value

Hsiang Chuan Liu, Wei Sung Chen, Hsien-Chang Tsai

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

2 Citations (Scopus)

Abstract

The threshold limit value of Takeya's item relational structure theory is a fixed value, which is lacking of statistical meaning, in our previous paper, an improved threshold limit value by using the empirical distribution critical value was proposed, it was showed that the new theory is more sensitive and effective than the old one. However, for constructing the item relational structure, both of them can only be used for dichotomous items, not for polytomous items. In this paper, the empirical distribution critical value based polytomous item relational structure theory is proposed, it is a generalization of our previously improved theory. A calculus example was also provided in this paper to illustrate the advantages of the proposed method.

Original languageEnglish
Title of host publicationAdvanced Manufacturing Technology
Pages1329-1332
Number of pages4
Publication statusPublished - 2012 Mar 21
Event3rd international Conference on Manufacturing Science and Engineering, ICMSE 2012 - Xiamen, China
Duration: 2012 Mar 272012 Mar 29

Publication series

NameAdvanced Materials Research
Volume472-475
ISSN (Print)1022-6680

Other

Other3rd international Conference on Manufacturing Science and Engineering, ICMSE 2012
CountryChina
CityXiamen
Period12-03-2712-03-29

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Liu, H. C., Chen, W. S., & Tsai, H-C. (2012). Polytomous item relational structure theory based on empirical distribution critical value. In Advanced Manufacturing Technology (pp. 1329-1332). (Advanced Materials Research; Vol. 472-475).
Liu, Hsiang Chuan ; Chen, Wei Sung ; Tsai, Hsien-Chang. / Polytomous item relational structure theory based on empirical distribution critical value. Advanced Manufacturing Technology. 2012. pp. 1329-1332 (Advanced Materials Research).
@inproceedings{82e8d18160204229b7f6f2c032379360,
title = "Polytomous item relational structure theory based on empirical distribution critical value",
abstract = "The threshold limit value of Takeya's item relational structure theory is a fixed value, which is lacking of statistical meaning, in our previous paper, an improved threshold limit value by using the empirical distribution critical value was proposed, it was showed that the new theory is more sensitive and effective than the old one. However, for constructing the item relational structure, both of them can only be used for dichotomous items, not for polytomous items. In this paper, the empirical distribution critical value based polytomous item relational structure theory is proposed, it is a generalization of our previously improved theory. A calculus example was also provided in this paper to illustrate the advantages of the proposed method.",
author = "Liu, {Hsiang Chuan} and Chen, {Wei Sung} and Hsien-Chang Tsai",
year = "2012",
month = "3",
day = "21",
language = "English",
isbn = "9783037853702",
series = "Advanced Materials Research",
pages = "1329--1332",
booktitle = "Advanced Manufacturing Technology",

}

Liu, HC, Chen, WS & Tsai, H-C 2012, Polytomous item relational structure theory based on empirical distribution critical value. in Advanced Manufacturing Technology. Advanced Materials Research, vol. 472-475, pp. 1329-1332, 3rd international Conference on Manufacturing Science and Engineering, ICMSE 2012, Xiamen, China, 12-03-27.

Polytomous item relational structure theory based on empirical distribution critical value. / Liu, Hsiang Chuan; Chen, Wei Sung; Tsai, Hsien-Chang.

Advanced Manufacturing Technology. 2012. p. 1329-1332 (Advanced Materials Research; Vol. 472-475).

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

TY - GEN

T1 - Polytomous item relational structure theory based on empirical distribution critical value

AU - Liu, Hsiang Chuan

AU - Chen, Wei Sung

AU - Tsai, Hsien-Chang

PY - 2012/3/21

Y1 - 2012/3/21

N2 - The threshold limit value of Takeya's item relational structure theory is a fixed value, which is lacking of statistical meaning, in our previous paper, an improved threshold limit value by using the empirical distribution critical value was proposed, it was showed that the new theory is more sensitive and effective than the old one. However, for constructing the item relational structure, both of them can only be used for dichotomous items, not for polytomous items. In this paper, the empirical distribution critical value based polytomous item relational structure theory is proposed, it is a generalization of our previously improved theory. A calculus example was also provided in this paper to illustrate the advantages of the proposed method.

AB - The threshold limit value of Takeya's item relational structure theory is a fixed value, which is lacking of statistical meaning, in our previous paper, an improved threshold limit value by using the empirical distribution critical value was proposed, it was showed that the new theory is more sensitive and effective than the old one. However, for constructing the item relational structure, both of them can only be used for dichotomous items, not for polytomous items. In this paper, the empirical distribution critical value based polytomous item relational structure theory is proposed, it is a generalization of our previously improved theory. A calculus example was also provided in this paper to illustrate the advantages of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=84863259509&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863259509&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84863259509

SN - 9783037853702

T3 - Advanced Materials Research

SP - 1329

EP - 1332

BT - Advanced Manufacturing Technology

ER -

Liu HC, Chen WS, Tsai H-C. Polytomous item relational structure theory based on empirical distribution critical value. In Advanced Manufacturing Technology. 2012. p. 1329-1332. (Advanced Materials Research).