TY - GEN

T1 - An improved Liu's ordering theory based on empirical distributive critical value

AU - Liu, Hsiang Chuan

AU - Shia, Ben Chang

AU - Cheng, Der Yin

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - IRS and LOT

KW - non-independence

KW - Ordering relationship

KW - OT

UR - http://www.scopus.com/inward/record.url?scp=84958553904&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958553904&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-07467-2_22

DO - 10.1007/978-3-319-07467-2_22

M3 - Conference contribution

AN - SCOPUS:84958553904

SN - 9783319074665

VL - 8482 LNAI

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 207

EP - 217

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer Verlag

T2 - 27th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2014

Y2 - 3 June 2014 through 6 June 2014

ER -