A Unified Approach to Linear Equating for the Nonequivalent Groups Design

Alina A. von Davier and Nan Kong

Journal of Educational and Behavioral Statistics, 2005, vol. 30, issue 3, 313-342

Abstract: This article describes a new, unified framework for linear equating in a non-equivalent groups anchor test (NEAT) design. The authors focus on three methods for linear equating in the NEAT design—Tucker, Levine observed-score, and chain—and develop a common parameterization that shows that each particular equating method is a special case of the linear equating function in the NEAT design. A new concept, the method function, is used to distinguish among the linear equating functions, in general, and among the three equating methods, in particular. This approach leads to a general formula for the standard error of equating for all linear equating functions in the NEAT design. A new tool, the standard error of equating difference , is presented to investigate if the observed difference in the equating functions is statistically significant.

Keywords: chain linear equating; delta method; Levine observed-score equating; non-equivalent groups anchor test (NEAT) design; standard error of equating; test equating; Tucker equating (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:30:y:2005:i:3:p:313-342

DOI: 10.3102/10769986030003313

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