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New Equating Methods and Their Relationships with Levine Observed Score Linear Equating Under the Kernel Equating Framework

Published online by Cambridge University Press:  01 January 2025

Haiwen Chen  and
Paul Holland
Haiwen Chen*
Affiliation:
ETS, Princeton, NJ
Paul Holland
Affiliation:
ETS, Princeton, NJ
*
Requests for reprints should be sent to Haiwen Chen, ETS, 666 Rosedale Rd. MS 02-T, Princeton, NJ 08541, USA. E-mail: hchen@ets.org
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Abstract

In this paper, we develop a new curvilinear equating for the nonequivalent groups with anchor test (NEAT) design under the assumption of the classical test theory model, that we name curvilinear Levine observed score equating. In fact, by applying both the kernel equating framework and the mean preserving linear transformation of post-stratification equating, we obtain a family of observed score equipercentile equating functions, which also includes the classical Levine observed score linear equating and the Tucker linear equating as special cases.

Keywords

NEAT designcurvilinear Levine observed score equating (CLOSE)Levine observed score linear equating (LOSLE)Tucker linear equating (TLE)kernel equating (KE)Mean preserving linear transformation (MPLT)Post-stratification equating (PSE)

Information

Type
Original Paper
Information
Psychometrika , Volume 75 , Issue 3 , September 2010 , pp. 542 - 557
Copyright
Copyright © 2010 The Psychometric Society

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Footnotes

Paul W. Holland is retired from Frederic M. Lord Chair in Measurement & Statistics, ETS, Princeton, NJ 08541, USA. e-mail: pholland@ets.org

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