Multivariate Analysis

  1. Factor Analysis
    1. Factor Analysis Model
      1. Common Factor Model
        1. Mathematical Formulation
          1. Model Components
            1. Common Factors
              1. Unique Factors
                1. Factor Loadings
                2. Model Assumptions
                3. Exploratory vs. Confirmatory Factor Analysis
                  1. Exploratory Factor Analysis (EFA)
                    1. Purpose and Applications
                      1. Model-Free Approach
                      2. Confirmatory Factor Analysis (CFA)
                        1. Theory-Driven Approach
                          1. Model Specification
                            1. Hypothesis Testing
                          2. Key Concepts
                            1. Communality
                              1. Definition and Interpretation
                                1. Initial Communality Estimates
                                2. Uniqueness
                                  1. Factor Loadings
                                    1. Interpretation Guidelines
                                      1. Cross-Loadings
                                      2. Factor Scores
                                      3. Factor Extraction Methods
                                        1. Principal Axis Factoring
                                          1. Maximum Likelihood Method
                                            1. Principal Components Method
                                              1. Image Factoring
                                                1. Alpha Factoring
                                                2. Determining Number of Factors
                                                  1. Kaiser's Criterion
                                                    1. Scree Test
                                                      1. Parallel Analysis
                                                        1. Minimum Average Partial Test
                                                          1. Theoretical Considerations
                                                          2. Factor Rotation
                                                            1. Orthogonal Rotation Methods
                                                              1. Varimax
                                                                1. Quartimax
                                                                  1. Equamax
                                                                  2. Oblique Rotation Methods
                                                                    1. Promax
                                                                      1. Direct Oblimin
                                                                        1. Quartimin
                                                                        2. Simple Structure Principle
                                                                        3. Factor Analysis Output Interpretation
                                                                          1. Factor Pattern Matrix
                                                                            1. Factor Structure Matrix
                                                                              1. Factor Correlation Matrix
                                                                                1. Reproduced Correlation Matrix
                                                                                  1. Residual Matrix
                                                                                  2. Factor Score Estimation
                                                                                    1. Regression Method
                                                                                      1. Bartlett Method
                                                                                        1. Anderson-Rubin Method
                                                                                        2. Model Evaluation
                                                                                          1. Goodness-of-Fit Assessment
                                                                                            1. Residual Analysis
                                                                                              1. Factor Determinacy

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                                                                                            5. Principal Component Analysis

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                                                                                            7. Multiple Linear Regression