1. Agenda of Week V Review of Week IV Inference on MV Mean Vector One population Two populations Multi-populations: MANOVA

2. Review of Week IV Random vector L.C. of random variables Multivariate normal distribution

3. Inference on MV Mean Vector Small sample case One population case

4. Inference on MV Mean Vector Large sample case

5. Inference on MV Mean Vector Confidence interval Small sample Large sample

6. Inference on MV Mean Vector Small sample case Two population case

7. Inference on MV Mean Vector Small sample case

8. Inference on MV Mean Vector Large sample case

9. MANOVA One-way MANOVA model Variation decomposition Total variation (T) df= N-1 Variation between Factors (B) df= k-1 Variation within Factors (W) df= N-k

10. MANOVA Wilks Lambda Distribution: When N is sufficiently large