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Coefficients Alpha,Beta, Omega,and the glb: Comments on Sijtsma
Authors:William Revelle  Richard E. Zinbarg
Affiliation:(1) Department of Psychology, Northwestern University, Evanston, IL, USA;(2) Department of Psychology, The Family Institute at Northwestern University, Northwestern University, Evanston, IL, USA
Abstract:There are three fundamental problems in Sijtsma (Psychometrika, 2008): (1) contrary to the name, the glb is not the greatest lower bound of reliability but rather is systematically less than ω t (McDonald, Test theory: A unified treatment, Erlbaum, Hillsdale, 1999), (2) we agree with Sijtsma that when considering how well a test measures one concept, α is not appropriate, but recommend ω t rather than the glb, and (3) the end user needs procedures that are readily available in open source software.
Keywords:reliability  internal consistency  homogeneity  test theory  coefficient alpha  coefficient omega  coefficient beta
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