ERIC Number: EJ782673
Record Type: Journal
Publication Date: 2007-Dec
Reference Count: N/A
The Insidious Effects of Failing to Include Design-Driven Correlated Residuals in Latent-Variable Covariance Structure Analysis
Cole, David A.; Ciesla, Jeffrey A.; Steiger, James H.
Psychological Methods, v12 n4 p381-398 Dec 2007
In practice, the inclusion of correlated residuals in latent-variable models is often regarded as a statistical sleight of hand, if not an outright form of cheating. Consequently, researchers have tended to allow only as many correlated residuals in their models as are needed to obtain a good fit to the data. The current article demonstrates that this strategy leads to the underinclusion of residual correlations that are completely justified on the basis of measurement theory and research design. In many designs, the absence of such correlations will not substantially harm the fit of the model; however, failure to include them can change the meaning of the extracted latent variables and generate potentially misleading results. Recommendations include (a) returning to the full multitrait-multimethod design when measurement theory implies the existence of shared method variance and (b) abandoning the evil-but-necessary attitude toward correlated residuals when they reflect intended features of the research design.
Descriptors: Research Design, Multitrait Multimethod Techniques, Measurement Techniques, Correlation, Research Methodology, Models, Theories, Goodness of Fit
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
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