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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
Canonical Correlation Analysis
Canonical Correlation Objectives
Relationship Between Variable Sets
Dimension Reduction
Redundancy Analysis
Canonical Variates
Linear Combinations
Canonical Weights
Canonical Scores
Mathematical Foundation
Eigenvalue Problem
Canonical Correlations
Number of Canonical Functions
Assumptions
Multivariate Normality
Linear Relationships
Homoscedasticity
Adequate Sample Size
Canonical Correlation Computation
Matrix Formulation
Eigenvalue Extraction
Canonical Weight Calculation
Interpretation of Results
Canonical Loadings
Canonical Cross-Loadings
Canonical Scores
Structure Coefficients
Significance Testing
Wilks' Lambda
F-Approximations
Individual Canonical Correlations
Redundancy Analysis
Variance Explained
Redundancy Indices
Practical Significance
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13. Multidimensional Scaling