Exploratory and Confirmatory Factor
Analysis
SCS Short Course
February  March, 2008
Michael Friendly
Topics 
Lecture Notes 
Examples 
Part 1: PCA PCA and Factor analysis: Overview Principal components analysis PCA details Biplots 
US crime rates by state [pca2a.sas] Plotting principal
component scores [pca2g.sas] Biplot of US crime data [biplcrime.sas] 

Part 2: EFA Basic ideas of factor analysis Factor estimation methods Factor and component rotation 
Demo: Partial linear
independence Factor analysis:
estimation methods [twofact.sas] Spearman’s “twofactor”
theory [spear5.sas] Holzinger & Swineford
9 ability measures H & S rotation methods
[psych9r.sas] 

Part 3: CFA Restricted ML factor analysis ACOVS model LISREL model: CFA and SEM Factorial invariance Power & sample size for EFA & CFA 
Ability & aspiration:
[calis13.sas] [lisrel1.ls8] Holzinger & Swineford
9 ability measures [calis16t.sas] Output: [calis16t.pdf] LISREL: [lisrel4a.ls8] [lisrel4.dat] Lord’s vocabulary data [calis1c.sas] Factorial invariance [lisrel12.ls8] [lisrel12.dat] Power analysis: Lord’s
vocabulary data [calis1pow.sas] 
Free book
manuscript: L.R. Tucker & R. MacCallum, Exploratory
Factor Analysis, http://www.unc.edu/~rcm/book/factornew.htm.
Bollen,
K. A. (1989). Structural equations with latent variables,


Byrne, B.M. (1998). Structural equation modeling with LISREL,
PRELIS, and SIMPLIS.
Similar books also by Byrne: Structural equation modeling with Amos; Structural
equation modeling with EQS. 

Comrey,
A. L. & Lee, H. B. (1991). A first course in factor analysis.



Everitt,
B. S. (1984). An Introduction to Latent
Variable Models. 
Hoyle, Rick H., ed. (1995). Structural equation modeling: Concepts, issues, and
applications. 

Loehlin, J. C. (2004). Latent
variable models: An introduction to factor, path and structural equation
analysis. 4^{th} Ed, 