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Writing about Structural Equation Models

Writing about Structural Equation Models. R.H. Hoyle Abigail T. Panter. The Conceptual Model. Introduce model with a diagram. Provide a written explanation in the text for each relation or path. . The Statistical Model. Include a path diagram.

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Writing about Structural Equation Models

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  1. Writing about Structural Equation Models R.H. Hoyle Abigail T. Panter

  2. The Conceptual Model • Introduce model with a diagram. • Provide a written explanation in the text for each relation or path.

  3. The Statistical Model • Include a path diagram. • Describe the statistical model in the Methods section.

  4. Details about the Data • Include a correlation matrix with standard deviations of the variables. • Explain any assumptions about measurement levels of the raw data. • Provide information about the distributions of the individual variables and the multivariate distribution. • Include statistics on univariate kurtosis and multivariate normality.

  5. Describing the Results • Report results from ML estimation. • If necessary report results of alternative estimation procedures. • Include the Indicators of Fit recommended in Table 9.1.

  6. Recommended Indexes of Overall Model FitStand-Alone/Absolute Indexes

  7. Recommended Indexes of Overall Model FitType-2 Indexes

  8. Recommended Indexes of Overall Model FitType 2 Indexes

  9. Recommended Indexes of Overall Model FitType-3 Indexes

  10. Provide all parameter estimates, error variances, and variances of latent variables. Include standard error of estimates, critical ratios and p-values. Indicate parameters fixed at specific values. Parameter Estimates

  11. Alternative Models • The strongest SEM analysis compares competing theoretical models. • Include substantive reasons for post-hoc modifications. • Report any equivalent models. • If possible, cross-validate the final model.

  12. Interpretation • Directionality is established by logic, manipulation, or strong theoretical arguments. • Associations in SEMs are necessary but not sufficient evidence of causal relations. • Include additional limitations regarding the interpretation of the SEM results in the discussion.

  13. Reference • R.H. Hoyle and A. T. Panter, “Writing about Structural Equation models,” In: R. H. Hoyle (ed.), Structural Equation Modeling; Concepts, Issues and Applications. Sage Publications, 1995, pp. 158-176.

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