IEM733 Mathematical Statistics II

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

Information

Code IEM733
Name Mathematical Statistics II
Term 2023-2024 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 Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. GÜLSEN KIRAL


Course Goal / Objective

The aim of this course is to enable students to establish a relationship between the mathematical structure of statistics with applications and enable to understand the basic theory of sampling techniques, hypothesis testing, analysis of variance, regression and correlation analysis.

Course Content

This lesson covers the main principles of the theory of sampling, theory of estimation, prediction intervals, hypothesis tests, power of test, analysis of variance.

Course Precondition

There are no prerequisites.

Resources

Yılmaz AKDİ, Matematiksel İstatistiğe Giriş, Gazi Kitapevi, Ankara, 2010, İsmail ERDEM, Matematiksel İstatistik, Seçkin, Ankara,2012

Notes

Source books, statistical packages


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explain the theoretical structure of important discrete and continuous probability distributions.
LO02 Evaluates the knowledge of basic sciences (Mathematics, Physics, Chemistry) with practice.
LO03 Determines the theoretical mathematical structure of frequency distrubitions.
LO04 Uses the ability to use estimation methods effectively.
LO05 Uses the ability to find solutions to problems using multivariate normal distribution.
LO06 Uses the ability to analyze, evaluate, experiment and design data.
LO07 Uses the ability to evaluate the strengths and weaknesses of the mathematical structure of statistical distributions.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explains contemporary concepts about Econometrics, Statistics, and Operation Research 3
PLO02 Bilgi - Kuramsal, Olgusal Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research 2
PLO03 Bilgi - Kuramsal, Olgusal Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences 1
PLO04 Beceriler - Bilişsel, Uygulamalı Performs conceptual analysis to develop solutions to problems 4
PLO05 Beceriler - Bilişsel, Uygulamalı Models problems with Mathematics, Statistics, and Econometrics
PLO06 Beceriler - Bilişsel, Uygulamalı Interprets the results obtained from the most appropriate method to predict the model 3
PLO07 Beceriler - Bilişsel, Uygulamalı Synthesizes the information obtained by using different sources within the framework of academic rules in a field that does not research 2
PLO08 Beceriler - Bilişsel, Uygulamalı Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution 2
PLO09 Beceriler - Bilişsel, Uygulamalı Searches for new approaches and methods to solve problems being faced 3
PLO10 Beceriler - Bilişsel, Uygulamalı Presents analysis results conveniently 3
PLO11 Beceriler - Bilişsel, Uygulamalı Collects/analyzes data in a purposeful way 4
PLO12 Yetkinlikler - İletişim ve Sosyal Yetkinlik Converts its findings into a master's thesis or a professional report in Turkish or a foreign language
PLO13 Beceriler - Bilişsel, Uygulamalı Develops solutions for organizations using Econometrics, Statistics, and Operation Research 2
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research 3
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads by taking responsibility individually and/or within the team 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 a package program of Econometrics, Statistics, and Operation Research or writes a new code 2
PLO18 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
PLO19 Yetkinlikler - Alana Özgü Yetkinlik Interprets data on economic and social events by following current issues 2
PLO20 Yetkinlikler - Alana Özgü Yetkinlik Applies social, scientific and professional ethical values


Week Plan

Week Topic Preparation Methods
1 Continuous Probability Distributions Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
2 Sampling Distributions Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
3 Functions of Random Variables Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
4 Statistical forecasting and decision-making theory Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
5 Point estimation, maximum likelihood estimation method Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
6 Estimation by the method of moments, the mean squared error Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
7 Review Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Reading the relevant parts in the book Ölçme Yöntemleri:
Yazılı Sınav
9 Estimators properties, drift, convergent and sufficient estimators Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
10 Interval estimation, confidence interval for the mean and variance of the community Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
11 Confidence interval for the difference in means and proportions, the confidence interval for the variance Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
12 Homework presentations Reading the relevant parts in the book Öğretim Yöntemleri:
Soru-Cevap
13 Test theory, testing simple and compound hypothesis Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
14 Type I and II error test, the power function Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
15 Likelihood test, chi-square test Reading the relevant parts in the book Öğretim Yöntemleri:
Anlatım
16 Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams 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 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: 11.05.2023 04:35