ISB510 Theory of Linear Models-II

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

Information

Code ISB510
Name Theory of Linear Models-II
Term 2022-2023 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 estimation and testing methods used in the ANOVA

Course Content

For one-way model, two-way models (Balanced case/unbalanced case): Parameter estimation, estimable functions, reparameterization, side conditions, contrasts, hypothesis testing, full-reduced model yaklaşımı, general linear hypothesis.

Course Precondition

no

Resources

Linear Models in Statistics 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 of the terms of experimental unit and sampling unit
LO02 To understand the basic logic of analysis of variance (ANOVA) models,
LO03 To know parameter estimation and estimable functions,
LO04 Perform reparameterization,
LO05 To know the terms of side conditions and contrasts,
LO06 Perform hypotheses testing for ANOVA models,
LO07 To know geometry of least squares in the overparameterized model,
LO08 To learn testable hypotheses and full-reduced-model,


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. 2
PLO03 Bilgi - Kuramsal, Olgusal Have a good command of statistical theory to contribute to the statistical literature. 2
PLO04 Bilgi - Kuramsal, Olgusal Can use the knowledge gained in the field of statistics in interdisciplinary studies. 3
PLO05 Yetkinlikler - Öğrenme Yetkinliği Can organize projects and events in the field of statistics.
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.
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. 2
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. 3
PLO17 Bilgi - Kuramsal, Olgusal Acts in accordance with scientific ethical rules. 3


Week Plan

Week Topic Preparation Methods
1 One-way model reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
2 Two-way model reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
3 Estimation, estimability reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
4 Reparameterization, side conditions 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 Testing hypotheses, testable hypotheses reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
7 Full-reduced-model approach, general linear hipotez reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
8 Mid-Term Exam Review the topics discussed in the lecture notes and references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
9 One-way ANOVA(Balanced case) 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 Two-way ANOVA(Balanced case) reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
12 Test for interaction, tests for main effects reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
13 Two-way ANOVA(Unbalanced case) reading, examination of literature Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
14 Contrasts reading, examination of literature
15 Unconstrained model, Constrained model 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

Update Time: 18.11.2022 04:00