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Intro to SEM P. Soukup.

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Presentation on theme: "Intro to SEM P. Soukup."— Presentation transcript:

1 Intro to SEM P. Soukup

2 Literature Kline Principles and practice of structural equation modeling. New York : Guilford Press Byrne Structural equation modeling with AMOS :basic concepts, applications, and programming. New Jersey: Lawrence Erlbaum Maruyama Basics of structural equation modeling. Sage Publications Raykov and Marcoulides A first course in structural equation modeling. Mahwah : Lawrence Erlbaum Associates Schumacker and Lomax.2004.A beginner’s guide to structural equation modeling. Mahwah : Lawrence Erlbaum Associates Articles: Journal Structural Equation Modeling

3 Exploratory FA Confirmatory FA

4 Why SEM (CFA)? Testing of hypothesis(es)
Complex model of relashionships between latent and manifest vars Also possible: compare groups, longitudinal analysis etc.

5 Correlation, regression and path analysis
Before CFA Correlation, regression and path analysis

6 Correlation and simple regression
Both sided relationship=correlation One sided relationship = regression (simple). E

7 Multiple Regression analysis
More ind. vars Y' = a + b1X1 +b2X2 +b3X3

8 Some statistical notes
Nr. of estimated parameters (what are these) Correlation Regression Nr. of individual pieces of info from data Degrees of freedom Test of model: chi-square Examples in regression and correlation

9 Path analysis=more regressions
Two or more regressions at once Dependent and independent vars – necessary to exchange by exogenous and endogenous Direct and indirect effects Measurement error (E) E E

10 Path analysis-example
Duncan’s model Evaluation of different models Constraining of parameters The best model? (AIC or BIC for selection)

11 Intro to CFA

12 Exploratory FA Confirmatory FA

13 CFA – equations (I) Equations for vars: E E

14 CFA – equations (II) Equations for covariances:
We have: covariance matrix for manifest vars in our data (Σ) We estimate covariance matrix of latent vars (Ψ), measurement errors (Θ) and factor weights (Λ) E E

15 CFA – estimates Many techniques max. likelihood generalized LS
unweighted LS generalized LS max. likelihood E E

16 CFA – evaluation Overall evaluation – test and criterias
Individual parameters – statistical and substantive significance Change in model – modification indeces E E

17 Software for SEM AMOS EQS LISREL MPlus SAS – CALIS Statistica - SEPATH


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