Information
Code | ISB507 |
Name | Theory of Linear Models-I |
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 objective of this course is to discuss different methods used in the simple/multiple lineer regression models.
Course Content
Multivariate normal distribution; distribution of quadratic forms; Paremeter estimation and hypothesis testing in simple linear regression; Properties of least squares estimator and geometry of least squares, Maximum likelihood estimators and its properties; Estimation, testing and coefficient of determination in multivariate normal distribution; Related topics in linear models.
Course Precondition
no
Resources
Linear Models Alvin C. Rencher John Wiley 2000
Notes
Linear Models S.R.Searle John Wiley 1971
Course Learning Outcomes
Order | Course Learning Outcomes |
---|---|
LO01 | Knowledge and understanding multivariate normal distribution and distribution of quadratic forms, |
LO02 | To understand the basic logic of simple lineer regression(SLR) |
LO03 | Perform parameter estimation and confidence interval |
LO04 | Perform hypothesis testing for SLR model |
LO05 | To learn parameter estimation and confidence interval for multiple linear regression(MLR), |
LO06 | To know properties of least squares estimator and geometry of least squares |
LO07 | To learn maximum likelihood estimators and its properties, |
LO08 | To learn testing in multivariate normal regression |
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. | 3 |
PLO02 | Bilgi - Kuramsal, Olgusal | Can do detailed research on a specific subject in the field of statistics. | 3 |
PLO03 | Bilgi - Kuramsal, Olgusal | Have a good command of statistical theory to contribute to the statistical literature. | |
PLO04 | Bilgi - Kuramsal, Olgusal | Can use the knowledge gained in the field of statistics in interdisciplinary studies. | 2 |
PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Can organize projects and events in the field of statistics. | 3 |
PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Can perform the stages of creating a project, executing it and reporting the results. | 2 |
PLO07 | Beceriler - Bilişsel, Uygulamalı | Have the ability of scientific analysis. | 2 |
PLO08 | Bilgi - Kuramsal, Olgusal | Can produce scientific publications in the field of statistics. | 3 |
PLO09 | Bilgi - Kuramsal, Olgusal | Have analytical thinking skills. | |
PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Can follow professional innovations and developments both at national and international level. | |
PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Can follow statistical literature. | 3 |
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. | |
PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have the qualities necessary for teamwork. | |
PLO16 | Bilgi - Kuramsal, Olgusal | Have a sense of professional and ethical responsibility. | 2 |
PLO17 | Bilgi - Kuramsal, Olgusal | Acts in accordance with scientific ethical rules. | 3 |
Week Plan
Week | Topic | Preparation | Methods |
---|---|---|---|
1 | Multivariate normal distribution | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
2 | Distribution of quadratic forms | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
3 | Estimation, hypothesis test and confidence interval | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
4 | Multiple regression | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
5 | Least squares estimator and its properties | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
6 | The model in centered form | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
7 | Maximum likelihood estimators and its properties | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
8 | Mid-Term Exam | Review the topics discussed in the lecture notes and references | Ölçme Yöntemleri: Yazılı Sınav, Ödev |
9 | Generalized least squares | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
10 | General linear hypothesis tests | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
11 | Confidence region and confidence interval | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
12 | Simultaneous intervals | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
13 | Estimation in multivariate normal regression | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
14 | Testing in multivariate normal regression | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
15 | Tests and confidence interval for coefficient of determination | reading, examination of literature | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
16 | Term Exams | Review the topics discussed in the lecture notes and references | Ölçme Yöntemleri: Yazılı Sınav, Ödev |
17 | Term Exams | Review the topics discussed in the lecture notes and references | 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 |