2025-2026 First Sem

 Google Classroom:

• https://classroom.google.com/c/Nzk4NzYyNjQ4NzQy?cjc=f6pl26p7

Course Outline:

• Review of Matrix Theory
• Multivariate Distributions
• Inference for the Multivariate Normal Distribution
• Principal Component Analysis
• Canonical Correlation Analysis
• Discriminant Analysis
• Factor Analysis
• Cluster Analysis
• Other Multivariate Techniques

Grading System:

• 20% Prelim exam 
• 30% Final exam 
• 30% Class Activities
• 20% Report

References:

• Applied Multivariate Statistical Analysis (2007) by Johnson and Wichern
• Multivariate Data Analysis (2009) by Hair, et al.
• Linear Models in Statistics (2008) by Rencher and Schaalje

August 23 Discussion

• Course Outline
• Review of Matrix Operations
• Seatwork No. 1

August 26 Discussion

• Review of Matrix Operations
• Seatwork No. 2

August 28 Discussion

• Assignment No. 1 submitted (Method of Adjoints)
• Finding eigenvalues and eigenvectors

August 30 Prep for Foundation Data

September 2 Rest Day

September 4

• Review on finding eigenvalues and eigenvectors
• Finding the distribution of variants of MND

September 6

• Assignment No. 2

September 9

• Review: Functions of Random Variables, Mean, Variance, and Covariance
• Finding the Distributions of Linear Combinations of Random Variables
• Assignment No. 3

September 11 (Black out)

September 13

• Project No. 1 (Pamphlet/Catalogue form)

                        Comprehensive summary report due on Sept. 27

• Doornik-Hansen Test (Mendoza)
• Hotelling's T2 Test (Disomimba)
• Box's M-Test (Angad)
• MANOVA (Macapaar)
• Profile R Package in R (Macatanto)
• Mardia's Test (Cosain)
• Henze-Zirkler's Test (Gabriel)
• Seatwork No. 3

September 16 

• Long Test on Matrices

September 18 

• Long Test 2

September 20 

• Answered Long Test 2

September 23

• Prelim Exam

September 25

• Latex Seminar

September 27

• Submission of Project No. 1
• Lab Exercise No. 1

September 30

• Inference for the Multivariate Normal Distribution

October 2

• Inference for the Multivariate Normal Distribution (cont.)

October 4 (Stat Month Prep)

October 7

• Inference on two Population Means: Univariate Case
• Inference on two Population Means: Multivariate Case

October 9

October 11  

• (Special Exam by MSI202)

October 14 (Online)

• Exercise 1 (additional last item)

October 16 (Musical Extravaganza)

October 18 (Dance Extravaganza)

October 21

• MANOVA

October 25 (Black out)

October 28 (CBMS)

 

October 30 (Wellness break)

November 4 (Math Departmental Exam) moved to Nov. 13

November 6

• Lab Exercise 2
• Reports Assigned Topic and Schedule 
• (Give the following details in the report: History, Overview, Application in particular field,  Example, Analysis and Interpretation (with R codes)
• Nov 18 - Principal Component Analysis (Cosain) 
• Nov 20 - Discriminant Analysis (Macapaar) (moved to Nov. 22)
• Nov 22 
• Factor Analysis (Angad)
• Cluster Analysis (Macatanto)
• Path Analysis (Disomimba) 
• Dec 2 - Canonical Correlation Analysis (Ivy) 
• Dec 4 - Canonical Correspondence Analysis (Gabriel) 

November 8 (UIG)

November 11

• Lab Exercise 2 (continue)

November 13 (Departmental Exam)

November 15 (Research for Topic Assigned)

November 18

• Principal Component Analysis

November 20

• Multivariate Regression (Lab Exercise 3)

November 22

• Discriminant Analysis
• Factor Analysis

November 25

• Cluster Analysis