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Kernel Equating Under the Non-Equivalent Groups With Covariates Design
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0001-5549-8262
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.
2015 (English)In: Applied psychological measurement, ISSN 0146-6216, E-ISSN 0146-6216, Vol. 39, no 5, 349-361 p.Article in journal (Refereed) Published
Abstract [en]

When equating two tests, the traditional approach is to use common test takers and/or common items. Here, the idea is to use variables correlated with the test scores (e.g., school grades and other test scores) as a substitute for common items in a non-equivalent groups with covariates (NEC) design. This is performed in the framework of kernel equating and with an extension of the method developed for post-stratification equating in the non-equivalent groups with anchor test design. Real data from a college admissions test were used to illustrate the use of the design. The equated scores from the NEC design were compared with equated scores from the equivalent group (EG) design, that is, equating with no covariates as well as with equated scores when a constructed anchor test was used. The results indicate that the NEC design can produce lower standard errors compared with an EG design. When covariates were used together with an anchor test, the smallest standard errors were obtained over a large range of test scores. The results obtained, that an EG design equating can be improved by adjusting for differences in test score distributions caused by differences in the distribution of covariates, are useful in practice because not all standardized tests have anchor tests.

Place, publisher, year, edition, pages
2015. Vol. 39, no 5, 349-361 p.
Keyword [en]
equipercentile equating, non-equivalent groups design, background variables, NEC design
National Category
Probability Theory and Statistics
URN: urn:nbn:se:umu:diva-106488DOI: 10.1177/0146621614567939ISI: 000355619200002OAI: diva2:842097
Available from: 2015-07-16 Created: 2015-07-14 Last updated: 2015-07-16Bibliographically approved

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