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A Unified Approach to Linear Equating for the Nonequivalent Groups Design

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  • Alina A. von Davier
  • Nan Kong

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.

Suggested Citation

  • Alina A. von Davier & Nan Kong, 2005. "A Unified Approach to Linear Equating for the Nonequivalent Groups Design," Journal of Educational and Behavioral Statistics, , vol. 30(3), pages 313-342, September.
    • Handle: RePEc:sae:jedbes:v:30:y:2005:i:3:p:313-342
    DOI: 10.3102/10769986030003313
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