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ERIC Number: EJ819615
Record Type: Journal
Publication Date: 2008
Pages: 18
Abstractor: As Provided
Reference Count: 8
ISSN: ISSN-0022-0655
Small-Sample Equating Using a Synthetic Linking Function
Kim, Sooyeon; von Davier, Alina A.; Haberman, Shelby
Journal of Educational Measurement, v45 n4 p325-342 Win 2008
This study addressed the sampling error and linking bias that occur with small samples in a nonequivalent groups anchor test design. We proposed a linking method called the synthetic function, which is a weighted average of the identity function and a traditional equating function (in this case, the chained linear equating function). Specifically, we compared the synthetic, identity, and chained linear functions for various-sized samples from two types of national assessments. One design used a highly reliable test and an external anchor, and the other used a relatively low-reliability test and an internal anchor. The results from each of these methods were compared to the criterion equating function derived from the total samples with respect to linking bias and error. The study indicated that the synthetic functions might be a better choice than the chained linear equating method when samples are not large and, as a result, unrepresentative. (Contains 4 tables, 10 figures, and 15 formulas.)
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A