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Kayla Jordan D. Wayne Mitchell RStats Institute Missouri State University. Structural Equation Modeling. What is SEM?. Statistical technique useful for testing theoretical models Theory-driven Confirmatory. Types of Variables. Manifest or Observed Variable. Error. Endogenous.
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Kayla Jordan D. Wayne Mitchell RStats Institute Missouri State University Structural Equation Modeling
What is SEM? • Statistical technique useful for testing theoretical models • Theory-driven • Confirmatory
Types of Variables Manifest or Observed Variable Error Endogenous Residual Latent Variable Exogenous Variable
Types of Models Measurement Model Structural Model
Degrees of Freedom • Knowns: n(n+1)/2 -> 8(9)/2 -> 36 • Unknowns: 5 factor loadings, 2 path coefficients, 8 error variances, 2 residuals -> 17 total unknowns • Degrees of Freedom: Knowns – Unknowns -> 19
Factor Loadings Indicates all observed variables are measuring the latent variable. Values closer to one indicate that the observed variable is measuring latent better (e.g., H3 is a better item than H6)
Model Comparisons • Need for Multiple Models • Chi-Square Difference • CFI Difference
Assumptions • Sample Size • Normality • Outliers • Multicollinearity