Stabilizing Conditional Standard Errors of Measurement in Scale Score Transformations.

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Bibliographic Details
Title: Stabilizing Conditional Standard Errors of Measurement in Scale Score Transformations.
Authors: Moses, Tim1, Kim, YoungKoung1
Source: Journal of Educational Measurement. Summer2017, Vol. 54 Issue 2, p184-199. 16p.
Subject Terms: *Item response theory, Measurement errors, Analysis of variance, Arcsine function, Distribution (Probability theory)
Abstract: The focus of this article is on scale score transformations that can be used to stabilize conditional standard errors of measurement (CSEMs). Three transformations for stabilizing the estimated CSEMs are reviewed, including the traditional arcsine transformation, a recently developed general variance stabilization transformation, and a new method proposed in this article involving cubic transformations. Two examples are provided and the three scale score transformations are compared in terms of how well they stabilize CSEMs estimated from compound binomial and item response theory (IRT) models. Advantages of the cubic transformation are demonstrated with respect to CSEM stabilization and other scaling criteria (e.g., scale score distributions that are more symmetric). [ABSTRACT FROM AUTHOR]
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Database: Education Research Complete
Description
Abstract:The focus of this article is on scale score transformations that can be used to stabilize conditional standard errors of measurement (CSEMs). Three transformations for stabilizing the estimated CSEMs are reviewed, including the traditional arcsine transformation, a recently developed general variance stabilization transformation, and a new method proposed in this article involving cubic transformations. Two examples are provided and the three scale score transformations are compared in terms of how well they stabilize CSEMs estimated from compound binomial and item response theory (IRT) models. Advantages of the cubic transformation are demonstrated with respect to CSEM stabilization and other scaling criteria (e.g., scale score distributions that are more symmetric). [ABSTRACT FROM AUTHOR]
ISSN:00220655
DOI:10.1111/jedm.12140