Standard syllabus
Multivariate statistics · Undergraduate · Statistics
Topics
Multivariate distributions
- Random vectors and mean vectors
- Covariance and correlation matrices
- Multivariate normal distribution: properties
- Hotelling's T² test
- Wishart distribution (introduction)
Dimension reduction and grouping
- Principal component analysis (PCA)
- Factor analysis (introduction)
- Cluster analysis: hierarchical and k-means
- Discriminant analysis: LDA and QDA
- Canonical correlation analysis (introduction)
Multivariate inference
- Multivariate analysis of variance (MANOVA)
- Profile analysis
- Multiple testing in multivariate settings
- Graphical methods: biplots and scree plots
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