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Information
| Code | ISB556 |
| Name | Multivariate Statistical Analysis |
| Term | 2024-2025 Academic Year |
| Term | Spring |
| 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 Instructor |
1 |
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 | ||