Abstract
Our previous work, Liu's polytomous ordering theory can be used for any testing with homogeneous or heterogeneous polytomous response. It is more useful than other well-known polytomous ordering theories. However, it can only be used to detect item ordering relationships for a group of subjects, not for any personal of subject. To overcome this drawback, in this paper, the above-mentioned theory is improved by integrating Ramsay's kernel smoothing nonparametric item response theory which can be used to estimate the joint probability of any two items, and construct \personal item ordering structures without the local independence assumption. A computer program is developed for computing and drawing item structures. A calculus test example is also provided in this paper to illustrate the advantages of the proposed methods.
Original language | English |
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Pages (from-to) | 1537-1542 |
Number of pages | 6 |
Journal | ICIC Express Letters |
Volume | 6 |
Issue number | 6 |
Publication status | Published - 2012 Jun 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science(all)
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Polytomous item ordering theory based on ramsay's kernel smoothing nonparametric item response theory. / Liu, Hsiang Chuan; Wu, Shih Neng; Sheu, Tian Wei; Chung, Yen Tung; Tsai, Hsien-Chang.
In: ICIC Express Letters, Vol. 6, No. 6, 01.06.2012, p. 1537-1542.Research output: Contribution to journal › Article
TY - JOUR
T1 - Polytomous item ordering theory based on ramsay's kernel smoothing nonparametric item response theory
AU - Liu, Hsiang Chuan
AU - Wu, Shih Neng
AU - Sheu, Tian Wei
AU - Chung, Yen Tung
AU - Tsai, Hsien-Chang
PY - 2012/6/1
Y1 - 2012/6/1
N2 - Our previous work, Liu's polytomous ordering theory can be used for any testing with homogeneous or heterogeneous polytomous response. It is more useful than other well-known polytomous ordering theories. However, it can only be used to detect item ordering relationships for a group of subjects, not for any personal of subject. To overcome this drawback, in this paper, the above-mentioned theory is improved by integrating Ramsay's kernel smoothing nonparametric item response theory which can be used to estimate the joint probability of any two items, and construct \personal item ordering structures without the local independence assumption. A computer program is developed for computing and drawing item structures. A calculus test example is also provided in this paper to illustrate the advantages of the proposed methods.
AB - Our previous work, Liu's polytomous ordering theory can be used for any testing with homogeneous or heterogeneous polytomous response. It is more useful than other well-known polytomous ordering theories. However, it can only be used to detect item ordering relationships for a group of subjects, not for any personal of subject. To overcome this drawback, in this paper, the above-mentioned theory is improved by integrating Ramsay's kernel smoothing nonparametric item response theory which can be used to estimate the joint probability of any two items, and construct \personal item ordering structures without the local independence assumption. A computer program is developed for computing and drawing item structures. A calculus test example is also provided in this paper to illustrate the advantages of the proposed methods.
UR - http://www.scopus.com/inward/record.url?scp=84859397324&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84859397324&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84859397324
VL - 6
SP - 1537
EP - 1542
JO - ICIC Express Letters
JF - ICIC Express Letters
SN - 1881-803X
IS - 6
ER -