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Probing Latent Interactions Estimated with a Residual Centering Approach

Understanding latent interactions is an important need for the structural equation modeler. Plotting and probing latent interactions, however, has not been well defined. We describe methods for plotting and probing two- and three-way latent interactions fit with a variety of approaches (LMS/QML, residual centering, double mean centering). The methods are demonstrated through a small simulation and examples based on existing data.