Item Relational Structure Theory Based on Liu’s Improved Nonparametric IRT Theory

Hsiang Chuan Liu; Yen Kuei Yu; Hsien Chang Tsai

doi:10.4028/www.scientific.net/AMM.479-480.1193

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 479-480Item Relational Structure Theory Based on Liu’s...

Item Relational Structure Theory Based on Liu’s Improved Nonparametric IRT Theory

Abstract:

In this paper, an extensional item relational structure theory based on the improved nonparametric item response theory is proposed. Item relational structure theory (Takeya, 1991) was developed to detect item relational structures of a group of subjects. The differences of these structures and experts knowledge structures can provide more information for planning remedial instruction, developing instruction materials, or educational researches. In this study, Lius improved nonparametric item response theory ( Liu, 2000, 2013) without the local independence assumption is used to estimate the joint probability of two items, and construct personal item relational structures. A Mathematics example is also provided in this paper to illustrate the advantages of the proposed method

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Periodical:

Applied Mechanics and Materials (Volumes 479-480)

Pages:

1193-1196

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.479-480.1193

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Online since:

December 2013

Authors:

Hsiang Chuan Liu, Yen Kuei Yu, Hsien Chang Tsai

Keywords:

Item Relational Structure Theory, Item Response Theory, Nonparametric Item Response Theory

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