Abstract
For considering the ordering relation of any two items, the first method, called Ordering Theory (OT), was proposed by Airasian and Bart. Since two items with ordering relation must be not independent, Takeya proposed his improved method called Item Relational Structure Theory (IRS); however, the thresholds of both with a fixed constant are lack of objectivity. In this paper, we consider the family of Q-matrix based IRS with different thresholds among all of the possible values, based on the ideal item structure theory proposed by the first author of this paper, an improved Q-matrix based IRS theory with the best threshold among all ordering coefficients called Optimized IRS is proposed, it is trivial that the IRS may be a special case of this new method, and the new one is always better than the traditional IRS and the Q-matrix based IRS. A real data experiment of the differentiations of multinomial functions by using Liu's validity index is conducted. The performances of the family Q-matrix based IRS with different thresholds from 0 to 1 are compared. Experimental results show that the Optimized IRS outperforms the traditional IRS and other new IRSs with different thresholds.
| Original language | English |
|---|---|
| Pages (from-to) | 1425-1431 |
| Number of pages | 7 |
| Journal | ICIC Express Letters |
| Volume | 8 |
| Issue number | 5 |
| Publication status | Published - 2014 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science(all)
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Optimized item relational structure theory : Using the differentiations of multinomial functions as an example. / Liu, Hsiang Chuan; Yu, Yen Kuei; Tsai, Hsien-Chang; Huang, Yu Tai; Mai, Yi Ting.
In: ICIC Express Letters, Vol. 8, No. 5, 01.01.2014, p. 1425-1431.Research output: Contribution to journal › Article
TY - JOUR
T1 - Optimized item relational structure theory
T2 - Using the differentiations of multinomial functions as an example
AU - Liu, Hsiang Chuan
AU - Yu, Yen Kuei
AU - Tsai, Hsien-Chang
AU - Huang, Yu Tai
AU - Mai, Yi Ting
PY - 2014/1/1
Y1 - 2014/1/1
N2 - For considering the ordering relation of any two items, the first method, called Ordering Theory (OT), was proposed by Airasian and Bart. Since two items with ordering relation must be not independent, Takeya proposed his improved method called Item Relational Structure Theory (IRS); however, the thresholds of both with a fixed constant are lack of objectivity. In this paper, we consider the family of Q-matrix based IRS with different thresholds among all of the possible values, based on the ideal item structure theory proposed by the first author of this paper, an improved Q-matrix based IRS theory with the best threshold among all ordering coefficients called Optimized IRS is proposed, it is trivial that the IRS may be a special case of this new method, and the new one is always better than the traditional IRS and the Q-matrix based IRS. A real data experiment of the differentiations of multinomial functions by using Liu's validity index is conducted. The performances of the family Q-matrix based IRS with different thresholds from 0 to 1 are compared. Experimental results show that the Optimized IRS outperforms the traditional IRS and other new IRSs with different thresholds.
AB - For considering the ordering relation of any two items, the first method, called Ordering Theory (OT), was proposed by Airasian and Bart. Since two items with ordering relation must be not independent, Takeya proposed his improved method called Item Relational Structure Theory (IRS); however, the thresholds of both with a fixed constant are lack of objectivity. In this paper, we consider the family of Q-matrix based IRS with different thresholds among all of the possible values, based on the ideal item structure theory proposed by the first author of this paper, an improved Q-matrix based IRS theory with the best threshold among all ordering coefficients called Optimized IRS is proposed, it is trivial that the IRS may be a special case of this new method, and the new one is always better than the traditional IRS and the Q-matrix based IRS. A real data experiment of the differentiations of multinomial functions by using Liu's validity index is conducted. The performances of the family Q-matrix based IRS with different thresholds from 0 to 1 are compared. Experimental results show that the Optimized IRS outperforms the traditional IRS and other new IRSs with different thresholds.
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UR - http://www.scopus.com/inward/citedby.url?scp=84903437496&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84903437496
VL - 8
SP - 1425
EP - 1431
JO - ICIC Express Letters
JF - ICIC Express Letters
SN - 1881-803X
IS - 5
ER -