UsefulLinks
Statistics
Multivariate Analysis
1. Introduction to Multivariate Analysis
2. Foundations in Matrix Algebra and Random Vectors
3. The Multivariate Normal Distribution
4. Data Preparation and Exploration
5. Principal Component Analysis
6. Factor Analysis
7. Multiple Linear Regression
8. Multivariate Analysis of Variance
9. Discriminant Analysis
10. Logistic Regression
11. Cluster Analysis
12. Canonical Correlation Analysis
13. Multidimensional Scaling
14. Advanced Multivariate Methods
6.
Factor Analysis
6.1.
Factor Analysis Model
6.1.1.
Common Factor Model
6.1.2.
Mathematical Formulation
6.1.3.
Model Components
6.1.3.1.
Common Factors
6.1.3.2.
Unique Factors
6.1.3.3.
Factor Loadings
6.1.4.
Model Assumptions
6.2.
Exploratory vs. Confirmatory Factor Analysis
6.2.1.
Exploratory Factor Analysis (EFA)
6.2.1.1.
Purpose and Applications
6.2.1.2.
Model-Free Approach
6.2.2.
Confirmatory Factor Analysis (CFA)
6.2.2.1.
Theory-Driven Approach
6.2.2.2.
Model Specification
6.2.2.3.
Hypothesis Testing
6.3.
Key Concepts
6.3.1.
Communality
6.3.1.1.
Definition and Interpretation
6.3.1.2.
Initial Communality Estimates
6.3.2.
Uniqueness
6.3.3.
Factor Loadings
6.3.3.1.
Interpretation Guidelines
6.3.3.2.
Cross-Loadings
6.3.4.
Factor Scores
6.4.
Factor Extraction Methods
6.4.1.
Principal Axis Factoring
6.4.2.
Maximum Likelihood Method
6.4.3.
Principal Components Method
6.4.4.
Image Factoring
6.4.5.
Alpha Factoring
6.5.
Determining Number of Factors
6.5.1.
Kaiser's Criterion
6.5.2.
Scree Test
6.5.3.
Parallel Analysis
6.5.4.
Minimum Average Partial Test
6.5.5.
Theoretical Considerations
6.6.
Factor Rotation
6.6.1.
Orthogonal Rotation Methods
6.6.1.1.
Varimax
6.6.1.2.
Quartimax
6.6.1.3.
Equamax
6.6.2.
Oblique Rotation Methods
6.6.2.1.
Promax
6.6.2.2.
Direct Oblimin
6.6.2.3.
Quartimin
6.6.3.
Simple Structure Principle
6.7.
Factor Analysis Output Interpretation
6.7.1.
Factor Pattern Matrix
6.7.2.
Factor Structure Matrix
6.7.3.
Factor Correlation Matrix
6.7.4.
Reproduced Correlation Matrix
6.7.5.
Residual Matrix
6.8.
Factor Score Estimation
6.8.1.
Regression Method
6.8.2.
Bartlett Method
6.8.3.
Anderson-Rubin Method
6.9.
Model Evaluation
6.9.1.
Goodness-of-Fit Assessment
6.9.2.
Residual Analysis
6.9.3.
Factor Determinacy
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5. Principal Component Analysis
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7. Multiple Linear Regression