Information Package / Course Catalogue
Statistical Analysis With Multiple Variables
Course Code: EK410
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

To teaching of multivariate concept, the distribution of multivariate random variables, multivariate normal distribution and parameters estimations, hypothesis tests and dimension reduction of multivariate random variables.

Course Content

1. Explanation of random variable and multivariate random variable concepts 2. Parameters of multivariate distributions 3. Multivariate normal distribution and its characteristics 4. Location tests for multivariate normal distribution 5. To satisfy the independency between the variables . 6. The uses of Principal Component Analysis - Factor Analysis techniques

Name of Lecturer(s)
Assoc. Prof. Elvan HAYAT
Learning Outcomes
1.Explanation of the single and multivariate random variable concepts
2.Description of the Continuous distribution and satisfaction of normality conditions.
3.Description of the Multivariate normal distribution and its characteristics
4. Using of computer for multivariate analysis
5.Applying Factor Analysis
Recommended or Required Reading
1.Anderson, T.W. : An Introduction to Multivariate Statistical Analysis , John Wiley and Sons. Inc., New York 2003.
2.Johnson, R.A. and Wichern, D.W. : Applied Multivariate Statistical Analysis, Prentice-Hall, New Jersey, 2002.
3..
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction
Week 2 - Theoretical
Derivative and Integral Quadratic Forms and Definiteness
Week 3 - Theoretical
Continuous Multivariate Distributions
Week 4 - Theoretical
Multivariate Normal Distribution
Week 5 - Theoretical
Multivariate Normal Distribution
Week 6 - Theoretical
Maximum Likelihood Estimators of Population Parameters
Week 7 - Theoretical
Distributions of Linear Combinations
Week 8 - Theoretical
Distributions of Linear Combinations
Week 9 - Theoretical
Multivariate Hypothesis Tests
Week 10 - Theoretical
Multivariate Hypothesis Tests
Week 11 - Theoretical
Tests for Two Samples
Week 12 - Theoretical
Tests for Two Samples
Week 13 - Theoretical
Principal Components Analysis
Week 14 - Theoretical
Essentiality of Principal Components
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory143384
Lecture - Practice112315
Midterm Examination1819
Final Examination115116
TOTAL WORKLOAD (hours)124
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
OÇ-1
3
3
3
3
3
3
3
3
3
OÇ-2
4
4
4
4
4
4
4
4
4
OÇ-3
5
3
5
3
3
3
5
5
5
OÇ-4
3
3
3
3
3
3
3
3
3
OÇ-5
4
4
4
4
2
5
2
2
2
Adnan Menderes University - Information Package / Course Catalogue
2026