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Information
| Code | IEM1839 |
| Name | Advanced Statistical Methods |
| Term | 2023-2024 Academic Year |
| Semester | . Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 8 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Doktora Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GÜLSEN KIRAL |
Course Goal / Objective
The purpose of this course is to teach complex and advanced statistical techniques and the applications of these advanced techniques with scientific articles and presentations to students.
Course Content
This lesson covers Continuous distributions (exponential, gamma, beta, normal distributions), probability integral transformation, changing variables, multivariate distributions, Central Limit Theorem, sampling distributions,order statistics, regression and ANOVA, the parameters of non-statistical applications, multivariate regression, multivariate discriminant analysis, logistic regression, MANOVA, MANCOVA, unified analysis, cluster analysis.
Course Precondition
There are no prerequisites.
Resources
Books, articles, computers, etc.
Notes
1-Miller, I. and M. Miller (2004). Mathematical Statistics with Applications , Pearson Education 2-amprit Chatterjee, Ali S. Hadi Bertham Price (2000) “Regression Analysis by Example” Rawlings, John O. (1988). Applied Regression Analysis: A Research Tool , Wadsworth and Brooks3-Reha Alprar 2003 .”Uygulamalı Çok Değişkenli İstatistiksel Yöntemlere Giriş 1 “4-Mendenhall, W. and T. Sincich (1996). A Second Course in statistics: Regression Analysis , Prentice Hall.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains complex and advanced statistical techniques. |
| LO02 | It makes inferences about the applications of these advanced techniques with scientific articles and presentations. |
| LO03 | Runs statistical package programs. |
| LO04 | Explains data using package programs. |
| LO05 | Statistical comments about the proposed model. |
| LO06 | Makes inferences about statistical information. |
| LO07 | Defines continuous distributions. |
| LO08 | Performs probability integral transformation. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Identify an econometric problem and propose a new solution to it | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Develops new knowledge using current concepts in Econometrics, Statistics and Operations Research | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explain for what purpose and how econometric methods are applied to other fields and disciplines | 3 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Using her knowledge, brings original solutions to problems in Economics, Business Administration and other social sciences | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Creates a new model using mathematics, statistics and econometrics knowledge to solve the problem encountered | 4 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Interprets the results obtained from the most appropriate method to predict the model | 4 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Performs conceptual analysis to develop solutions to problems | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Collects data on purpose | 5 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Synthesizes the information obtained by using different sources within the framework of academic rules in a field that does not research | 3 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Presents analysis results conveniently | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Converts its findings into a master's thesis or a professional report in Turkish or a foreign language | 2 |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | It researches current approaches and methods to solve the problems it encounters and proposes new solutions | 3 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Develops long-term plans and strategies using econometric and statistical methods | 2 |
| PLO14 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Performs self-study using knowledge of Econometrics, Statistics and Operations to solve a problem | 3 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads the team by taking responsibility | 2 |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in the field of study | 3 |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution | 2 |
| PLO18 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses a package program of Econometrics, Statistics, and Operation Research or writes a new code | |
| PLO19 | 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 | 3 |
| PLO20 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values | 4 |
| PLO21 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on economic and social events by following current issues | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Continuous distributions (exponential, gamma, beta, normal distributions) | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 2 | Continuous distributions | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Changing variables with multivariate distributions, Central Limit Theorem | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Sampling distributions | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 5 | Order statistics | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Statistical Inference | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 7 | examination | Examining the relevant chapter in the book | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Examining the relevant chapter in the book | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Regression and ANOVA | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Parameters of non-statistical applications, multivariate regression | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 11 | Multivariate discriminant analysis | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Logistic regression | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 13 | MANOVA, MANCOVA | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Unified analysis | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 15 | Cluster analysis | Examining the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 16 | Term Exams | Examining the relevant chapter in the book | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Examining the relevant chapter in the book | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 8 | 112 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 2 | 4 | 8 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 24 | 24 |
| Total Workload (Hour) | 212 | ||
| Total Workload / 25 (h) | 8,48 | ||
| ECTS | 8 ECTS | ||