Multivariate Analysis: MANOVA and Discriminant Methods
Overview
Course project (STA135) applying multivariate statistical tools to analyze transportation-cost data. We test for group differences and build discriminant rules for classification.
Goals
- Conduct MANOVA to assess simultaneous mean differences across groups.
- Examine variable contributions and correlations.
- Fit LDA/QDA/other discriminant models and evaluate classification performance.
Data & Code
- Primary dataset:
/projects/multivariate-analysis/data/T6-10.dat - Additional datasets (UCI Abalone):
/projects/multivariate-analysis/data/abalone/ - Reproducible script:
/projects/multivariate-analysis/code/code.R
Deliverables
- Report:
/projects/multivariate-analysis/reports/report.pdf
Outcomes
- MANOVA indicates significant multivariate group effects; follow-up tests identify contributing variables.
- Discriminant analysis yields interpretable decision boundaries, with performance depending on covariance assumptions.