Correlating Residuals PreviousNext
Mplus Discussion > Structural Equation Modeling >
 Thomas Curran posted on Tuesday, January 26, 2010 - 11:43 am
I have a very general question, but why do researchers correlate their residual errors in certain structural equation models?


 Linda K. Muthen posted on Wednesday, January 27, 2010 - 10:16 am
I can think of three reasons a model might contain correlated residuals. I'm sure there are many others. In CFA, correlated residuals among the factor indicators might represent a minor factor. In a growth model, auto-correlated residuals might be included. In an SEM model, a residual covariance between two factors might be needed because of an incomplete set of covariates in the regression of the two factors on a set of covariates.
 Jon Elhai posted on Wednesday, January 27, 2010 - 11:23 am
This might be a relevant paper about correlated residuals:
Cole, D. A., Ciesla, J. A., & Steiger, J. H. (2007). The insidious effects of failing to include design-driven correlated residuals in latent-variable covariance structure analysis. Psychological Methods, 12, 381-398.
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