This book presents structural equation models (SEM's) via scatterplots, path diagrams, equations, vector diagrams, and matrix algebra. The book emphasizes the counterarguments a reasonable skeptic might offer as a counterargument to any proposed SEM. Topics and examples cover regression and anova as SEM's, confirmatory factor analysis, various growth curve models, multi-group models, measurement models, exploratory factor models, item response theory (IRT), latent response variables, and logistic regression. Particular attention is given to assumption checking, identification, measurement assumption, and rotation techniques. Examples of analyses done in Amos, Lavaan, Mplus, and Onyx are presented in the book and at this site: https://sites.google.com/view/approaches-to-understanding-st/home. An appendix of matrix algebra ideas relevant to SEM specification is included. I will add material to this if there is interest.
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