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Linking With Nonparametric IRT Models

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Part of the book series: Statistics for Social and Behavioral Sciences ((SSBS))

Abstract

In educational testing, it is a common practice to produce test forms under a nonequivalent groups with anchor test (NEAT) design. In this design, the two test forms share a certain number of common items, while the populations who take the test forms might not be equivalent to each other. Test linking is conducted to establish the equivalency of ability scales from separate item response theory (IRT) calibrations of two test forms. Among existing linking methods, two approaches are related to the study in this paper: IRT model-based linking (Loyd & Hoover, 1980; Marco, 1977; Stocking & Lord, 1983) and equipercentile linking (Kolen & Brennan, 1995; von Davier, Holland, & Thayer, 2004b).

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Correspondence to Xueli Xu .

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Xu, X., Douglas, J.A., Lee, YS. (2009). Linking With Nonparametric IRT Models. In: von Davier, A. (eds) Statistical Models for Test Equating, Scaling, and Linking. Statistics for Social and Behavioral Sciences. Springer, New York, NY. https://doi.org/10.1007/978-0-387-98138-3_15

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