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This introductory guide explores the principles and practices of structural equation modeling (SEM) in social sciences. Covering topics ranging from correlation and regression to path analysis and confirmatory factor analysis (CFA), it delves into complex relationships between latent and manifest variables. The text also discusses hypothesis testing, model evaluation, software options for SEM analysis, and statistical notes essential for understanding SEM. Whether you are a beginner or seeking to enhance your SEM knowledge, this resource provides valuable insights and examples to navigate the complexities of SEM in research.
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Intro to SEM P. Soukup
Literature • Kline.2005. Principles and practice of structural equation modeling. New York : Guilford Press • Byrne. 2001. Structural equation modeling with AMOS :basic concepts, applications, and programming. New Jersey: Lawrence Erlbaum • Maruyama.1998. Basics of structural equation modeling. Sage Publications • Raykov and Marcoulides.2006. 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
ExploratoryFA Confirmatory FA
Why SEM (CFA)? • Testing of hypothesis(es) • Complex model of relashionships between latent and manifest vars • Also possible: compare groups, longitudinal analysis etc.
Before CFA Correlation, regression and path analysis
Correlation and simple regression • Both sided relationship=correlation • One sided relationship = regression (simple). E
Multiple Regression analysis • More ind. vars Y' = a + b1X1 +b2X2 +b3X3
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
E E 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)
Path analysis-example • Duncan’s model • Evaluation of different models • Constraining of parameters • The best model? (AIC or BIC for selection)
ExploratoryFA Confirmatory FA
CFA – equations (I) • Equations for vars:
CFA – equations (II) • Equations for covariances: • We have: covariance matrix for manifest vars in our data (Σ) • We estimatecovariance matrix of latent vars (Ψ), measurement errors (Θ) and factor weights (Λ)
CFA – estimates • Many techniques • unweighted LS generalized LS • max. likelihood
CFA – evaluation • Overall evaluation – test and criterias • Individual parameters – statistical and substantive significance • Change in model – modification indeces
Software for SEM • AMOS • EQS • LISREL • MPlus • SAS – CALIS • Statistica - SEPATH