What question did this study set out to answer?

This article aims to highlight the benefits of residual centering for interactions in regression and extend it to latent variables.

September 15, 2006Structural Equation Modeling A Multidisciplinary Journal

On the Merits of Orthogonalizing Powered and Product Terms: Implications for Modeling Interactions Among Latent Variables

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Authors

TLTodd D. LittleTexas Tech University JBJames A. BovairdUniversity of Nebraska–Lincoln KWKeith F. WidamanUniversity of California, Riverside

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Implication

This article demonstrates improved modeling of latent variable interactions using residual centering, suggesting practical advantages in regression contexts.

Key Points

This article aims to highlight the benefits of residual centering for interactions in regression and extend it to latent variables.
Discusses the merits of residual centering for interaction and powered terms in regression contexts.
Proposes a method for representing latent variable interactions based on observed covariation patterns.
Emphasizes the method's stability, interpretability, and compatibility with various structural equation modeling software.
The proposed method shows stable and interpretable parameter estimates.
It can generalize to other latent variables involving nonlinearity or collinearity.
No parameter recalculations or special constraints are needed, enhancing model fit and standard error estimation.

Cite This Study

Little et al. (2006) studied this question.

synapsesocial.com/papers/69d757f5f182769aa8b8a689 https://doi.org/10.1207/s15328007sem1304_1

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Implication

This article demonstrates improved modeling of latent variable interactions using residual centering, suggesting practical advantages in regression contexts.

On the Merits of Orthogonalizing Powered and Product Terms: Implications for Modeling Interactions Among Latent Variables

Discussion

Member takes

Implication

Key Points

Cite This Study

On the Merits of Orthogonalizing Powered and Product Terms: Implications for Modeling Interactions Among Latent Variables

Discussion

Member takes

Implication

Key Points

Cite This Study

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