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Information
| Code | EKMZ307 |
| Name | Multivariate Statistical Analysis |
| Semester | 5. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. EBRU ÖZGÜR GÜLER |
Course Goal
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 once the assumptions are verified.
Course Content
The course content covers the building of multivariate data, which includes understanding, preparing and transforming of the data, comparing the methods related to dimension reduction and classification, assumptions and applications of multivariate techniques.
Course Precondition
None
Resources
Uygulamalı çok değişkenli istatistiksel analiz, Hacettepe TAŞ yayınları, Prof. Dr. Hüseyin Tatlıdil
Notes
Çok değişkenli istatistiksel yöntemler, detay yayıncılık, Prof. Dr. Reha Alpar, 2020
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains multivariate data |
| LO02 | Builds the data matrix |
| LO03 | Knows dimension reduction techniques |
| LO04 | Knows classification methods |
| LO05 | Discriminates the most proper analysis technique for the data being analyzed |
| LO06 | Uses a package program to analyze each technique |
| LO07 | Appropriately interprets findings of analysis |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and theorems in the fields of Econometrics, Statistics and Operations research | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 5 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Has the ability to analyze/interpret at the conceptual level to develop solutions to problems | 4 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data | 5 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Interprets the results analyzed with the model | 5 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Combines the information obtained from different sources within the framework of academic rules in a field which does not research | 3 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | It develops traditional approaches, practices and methods into new working methods when it deems necessary | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | In addition to herself/himself professional development, constantly improves in scientific, cultural, artistic and social fields in line with interests and abilities | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in its field. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses a package program of Econometrics, Statistics, and Operation Research | 5 |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses Turkish and at least one other foreign language, academically and in the business context | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form | |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on current economic and social issues | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Motivation: A Review of references and introductory matrix algebra | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Örnek Olay |
| 2 | Building the data matrix for multivariate analysis and descriptive statistics | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Deney / Laboratuvar |
| 3 | Multivariate graphics, standardization and multivariate normal distribution | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Örnek Olay, Deney / Laboratuvar, Problem Çözme |
| 4 | Examination of outliers and missing data in multivariate analysis, distance and similiarity measures | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Deney / Laboratuvar |
| 5 | Canonical correlation analysis and its applications | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
| 6 | Dimension Reduction: Factor analysis and its assumptions | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
| 7 | Dimension Reduction (cont): Factor analysis and its applications | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Deney / Laboratuvar |
| 8 | Mid-Term Exam | General review for the midterm exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Classification: Clustering analysis and its assumptions | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Örnek Olay, Deney / Laboratuvar |
| 10 | Classification (cont): Clustering analysis and its assumptions | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Deney / Laboratuvar |
| 11 | Classification: Assumptions of discriminant analysis | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Deney / Laboratuvar |
| 12 | Classification (cont): Applications of discriminant analysis | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Deney / Laboratuvar |
| 13 | Discussion of papers about canonical correlation and factor analysis | Related chapters of reference books | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Grup Çalışması |
| 14 | Discussion of papers about clustering analysis | Related chapters of reference books | Öğretim Yöntemleri: Grup Çalışması, Proje Temelli Öğrenme |
| 15 | Discussion of papers about discriminant analysis | Related chapters of reference books | Öğretim Yöntemleri: Tartışma, Grup Çalışması |
| 16 | Term Exams | General review for the final exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | General review for the final exam | Ölçme Yöntemleri: Yazılı Sınav |
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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||