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Regression, Factor Analysis and SEM Ulf H. Olsson Professor of Statistics.

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Presentation on theme: "Regression, Factor Analysis and SEM Ulf H. Olsson Professor of Statistics."— Presentation transcript:

1 Regression, Factor Analysis and SEM Ulf H. Olsson Professor of Statistics

2 Ulf H. Olsson Regression with observed variables Significant effects R-sq Distributional assumptions for OLS Measurement Errors Bias (attenuation towards zero)

3 Ulf H. Olsson Path Analysis (Simultanuous equations with observed variables) Can all the parmeters be identified Does the model fit the data ML and the chi-sq. test

4 Ulf H. Olsson EFA How many factors? Rotation Does it make sense?

5 Ulf H. Olsson CFA/Measurement Models Does the model fit the data? Reliability Can the model re-specified

6 Ulf H. Olsson SEM Structural equations = Multiple regression models with latent variables The fit of the SEM model will never be better than a ”saturated model” I.e,. The measurement model will have the best ”fit-measures”

7 Ulf H. Olsson Assumptions Continuous data Normal Non-normal Ordinal variables Ordered categories Structural assumptions Chi-square distribution Non-central Chi-square distribution


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