A Bayesian approach to estimating variance components within a multivariate generalizability theory framework.

Behav Res Methods

Department of Educational Psychology, University of Kansas, Lawrence, Kansas, 66045-3101, USA.

Published: December 2018

AI Article Synopsis

  • Multivariate generalizability theory (mG theory) is commonly used to assess the reliability of multidimensional evaluations but has limitations when relying on traditional frequentist methods.
  • The article advocates for the use of Bayesian methods, which can leverage more information and improve reliability assessments in mG theory.
  • It includes instructional guidelines and BUGS code for implementing mG-theory analyses, along with examples and a simulated dataset to illustrate the benefits of the Bayesian approach for researchers.

Article Abstract

In many behavioral research areas, multivariate generalizability theory (mG theory) has been typically used to investigate the reliability of certain multidimensional assessments. However, traditional mG-theory estimation-namely, using frequentist approaches-has limits, leading researchers to fail to take full advantage of the information that mG theory can offer regarding the reliability of measurements. Alternatively, Bayesian methods provide more information than frequentist approaches can offer. This article presents instructional guidelines on how to implement mG-theory analyses in a Bayesian framework; in particular, BUGS code is presented to fit commonly seen designs from mG theory, including single-facet designs, two-facet crossed designs, and two-facet nested designs. In addition to concrete examples that are closely related to the selected designs and the corresponding BUGS code, a simulated dataset is provided to demonstrate the utility and advantages of the Bayesian approach. This article is intended to serve as a tutorial reference for applied researchers and methodologists conducting mG-theory studies.

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Source
http://dx.doi.org/10.3758/s13428-017-0986-3DOI Listing

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