Correlated Errors in True Score Models and Their Effect on Coefficient Alpha

By S. Green, Scott L. Hershberger. 2000

135 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/38ac784ab1fff11438919939d6a1ae253ee43a49

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In Management Science and Operations Research

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Citations in the corpus

Coefficient Alpha: A Reliability Coefficient for the 21st Century? (2011, background): “Potentially, the ordering of items could introduce correlated errors, particularly if similarly worded items were adjacent to each other (Cronbach, 2004; Green & Hershberger, 2000).”
Dimensionality of the Revised Life Orientation Test and the status of filler items (2003, methodology): “In a measurement model, the former can be modelled using auto-regressions or correlated errors, as shown by Green and Hershberger (2000) .”
From alpha to omega: a practical solution to the pervasive problem of internal consistency estimation. (2014, unknown): “Despite alpha coming under heavy scrutiny in numerous articles (e.g., Green & Hershberger, 2000; Green, Lissitz, &Mulaik, 1977; Green&Yang, 2009; Huysamen, 2007; Raykov, 1998; Sijtsma, 2009; Zimmerman, Zumbo, & Lalonde, 1993; Zinbarg, Revelle, Yovel, & Li, 2005), it remains one of the most…”
Alpha, Omega, and H Internal Consistency Reliability Estimates: Reviewing These Options and When to Use Them (2021, methodology): “Uncorrelated errors is another necessary assumption of coefficient alpha, which can result in alpha either overestimating or underestimating reliability depending on the source of correlated error (Green & Hershberger, 2000).”
A Note on Structural Equation Modeling Estimates of Reliability (2010, background): “…negatively biased when tau equivalency is violated and is likely to be inflated if the uncorrelated errors assumption is not met (e.g., Fleishman & Benson, 1987; Green & Hershberger, 2000; Maxwell, 1968; Miller, 1995; Novick & Lewis, 1967; Rozeboom, 1966, 1989; Zimmerman, Zumbo, & Lalonde, 1993).”
The proximity effect: The role of inter-item distance on reverse-item bias (2009, background): “Directional response style bias can lead to the overestimation of scales' internal consistency (Green & Hershberger, 2000) and the relationships between scales (Podsakoff et al., 2003).”
Estimating Generalizability to a Latent Variable Common to All of a Scale's Indicators: A Comparison of Estimators for ωh (2006, background): “The first advantage is conceptual in that if one allows for correlated errors, it would appear to be difficult to maintain a distinction between common factors and errors/uniquenesses (for a related discussion, see Green & Hershberger, 2000, p. 253).”
The Individual Consistency of Acquiescence and Extreme Response Style in Self-Report Questionnaires (2010, background): “Operationally, the direct effect from a response style indicator to the successive one and indirect effects to the following indicators mediated by this effect translates into an autoregressive model (Marsh, 1993; Green & Hershberger, 2000).”
An empirical analysis of alleged misunderstandings of coefficient alpha (2018, unknown): “Another requirement is that the item errors in the model are uncorrelated (Green & Hershberger, 2000).”
Estimation of Generalizability Coefficients Via a Structural Equation Modeling Approach to Scale Reliability Evaluation (2006, background): “Subsequent work by Green and Hershberger (2000), Hagtvet (1997, 1998), Hancock and Mueller (2001), Höft (1996), Marcoulides (1996, 2000b), Miller (1995), Komaroff (1997), and Raykov (1997, 2001, 2002, 2004) has contributed over the past few years to popularizing the SEM approach to point and…”
The α and the ω of Congeneric Test Theory: An Extension of Reliability and Internal Consistency to Heterogeneous Tests (2005, unknown): “Congeneric test theory also underpins much research into reliability and internal consistency (Bollen, 1989; Green & Herschberger, 2000; Komaroff, 1997; McDonald, 1985, 1999; Raykov, 1997a, 1997b, 1998a, 1998b, 2001a, 2001b, 2002; Reuterberg & Gustafsson, 1992; Rozeboom, 1989; Zimmerman, Zumbo, &…”
Reliability of Scales With General Structure: Point and Interval Estimation Using a Structural Equation Modeling Approach (2002, background): “They have focused on analyses of congeneric items (Raykov, 1997a, 1997b), correlated errors (Green & Hershberger, 2000; Komaroff, 1997; Raykov, 1998a, 2001b), weighted functions of components (Raykov, 1997a), and the estimation of standard errors and confidence intervals (Raykov, 1998b).”
Commentary on Coefficient Alpha: A Cautionary Tale (2009, background): “Alternatively, scale reliability can be computed using SEM ( Green & Hershberger, 2000;”