ERIC Number: EJ788361
Record Type: Journal
Publication Date: 2008-Mar
Reference Count: 0
On the Meaning of the Latent Variables in the CT-C(M-1) Model: A Comment on Maydeu-Olivares and Coffman (2006)
Geiser, Christian; Eid, Michael; Nussbeck, Fridtjof W.
Psychological Methods, v13 n1 p49-57 Mar 2008
In a recent article, A. Maydeu-Olivares and D. L. Coffman (2006, see EJ751121) presented a random intercept factor approach for modeling idiosyncratic response styles in questionnaire data and compared this approach with competing confirmatory factor analysis models. Among the competing models was the CT-C(M-1) model (M. Eid, 2000). In an application to the Life Orientation Test (M. F. Scheier & C. S. Carver, 1985), Maydeu-Olivares and Coffman found that results obtained from the CT-C(M-1) model were difficult to interpret. In particular, Maydeu-Olivares and Coffman challenged the asymmetry of the CT-C(M-1) model. In the present article, the authors show that the difficulties faced by Maydeu-Olivares and Coffman rest upon an improper interpretation of the meaning of the latent factors. The authors' aim is to clarify the meaning of the latent variables in the CT-C(M-1) model. The authors explain how to properly interpret the results from this model and introduce an alternative restricted model that is conceptually similar to the CT-C(M-1) model and nested within it. The fit of this model is invariant across different reference methods. Finally, the authors provide guidelines as to which model should be used in which research context.
Descriptors: Factor Structure, Factor Analysis, Structural Equation Models, Questionnaires, Response Style (Tests), Goodness of Fit, Guidelines, Psychological Studies
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Publication Type: Journal Articles; Opinion Papers; Reports - Descriptive
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