ISB556 Multivariate Statistical Analysis

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code ISB556
Name Multivariate Statistical Analysis
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Doktora Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. SADULLAH SAKALLIOĞLU


Course Goal / Objective

The aim of this course is to bring the knowledge of building the data matrix for multivariate analysis, choosing the most suitable method for the data, and application of the proper technique.

Course Content

Random vectors and matrices, Properties of the multivariate normal distribution, Multivariate distributions (Chi-Square, Wishart, t, F, Hotelling T), Multivariate regression models, Classifications Analysis.

Course Precondition

None

Resources

Neil , H. T. (2002), Applied Multivariate Analysis, Springer-Verlag, New York.

Notes

Srivastava, M. S. (2002) Methods of Multivariate Statistics, Wiley-Interscience


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Knowledge and understanding multivariate normal distribution and distribution of quadratic forms,.
LO02 Be able to summarize and interpret multivariate data,
LO03 To have an understanding of the link between multivariate techniques and corresponding univariate techniques,
LO04 Be able to use multivariate techniques appropriately,
LO05 Perform hypothesis testing for multivariate regresyon models


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Develops new methods and strategies in modeling statistical problems and generating problem-specific solutions. 5
PLO02 Bilgi - Kuramsal, Olgusal Can do detailed research on a specific subject in the field of statistics.
PLO03 Bilgi - Kuramsal, Olgusal Have a good command of statistical theory to contribute to the statistical literature. 4
PLO04 Bilgi - Kuramsal, Olgusal Can use the knowledge gained in the field of statistics in interdisciplinary studies. 5
PLO05 Yetkinlikler - Öğrenme Yetkinliği Can organize projects and events in the field of statistics. 4
PLO06 Yetkinlikler - Öğrenme Yetkinliği Can perform the stages of creating a project, executing it and reporting the results.
PLO07 Beceriler - Bilişsel, Uygulamalı Have the ability of scientific analysis.
PLO08 Bilgi - Kuramsal, Olgusal Can produce scientific publications in the field of statistics. 3
PLO09 Bilgi - Kuramsal, Olgusal Have analytical thinking skills. 4
PLO10 Yetkinlikler - Öğrenme Yetkinliği Can follow professional innovations and developments both at national and international level.
PLO11 Yetkinlikler - Öğrenme Yetkinliği Can follow statistical literature. 4
PLO12 Beceriler - Bilişsel, Uygulamalı Can improve his/her foreign language knowledge at the level of making publications and presentations in a foreign language.
PLO13 Bilgi - Kuramsal, Olgusal Can use information technologies at an advanced level.
PLO14 Bilgi - Kuramsal, Olgusal Have the ability to work individually and make independent decisions. 4
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Have the qualities necessary for teamwork. 4
PLO16 Bilgi - Kuramsal, Olgusal Have a sense of professional and ethical responsibility. 5
PLO17 Bilgi - Kuramsal, Olgusal Acts in accordance with scientific ethical rules. 5


Week Plan

Week Topic Preparation Methods
1 Random vectors and matrices Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
2 Properties of the multivariate normal distribution Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
3 Multivariate distributions (Chi-Square, Wishart, t, F, Hotelling T) Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
4 Tests of normality, sphericity and independence Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
5 Profile Analysis Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
6 Multivariate Linear Regression estimation and testing hypotheses Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
7 Multivariate Linear Regression estimation and testing hypotheses 2 Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
8 Mid-Term Exam Review the topics discussed in the lecture notes and sources Ölçme Yöntemleri:
Yazılı Sınav, Ödev
9 One way MANOVA Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
10 Two way MANOVA Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
11 Repeated Measures Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
12 Discriminant and Classification Analysis Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
13 Discriminant and Classification Analysis 2 Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
14 Principal Compenent Analysis Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
15 Cluster Analysis Source reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
16 Term Exams Anlatılan konuların ders notları ve kaynaklardan tekrar edilmesi Ölçme Yöntemleri:
Yazılı Sınav, Ödev
17 Term Exams Anlatılan konuların ders notları ve kaynaklardan tekrar edilmesi Ölçme Yöntemleri:
Yazılı Sınav, Ödev


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 17.05.2024 02:14