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Information
| Code | IEM733 |
| Name | Mathematical Statistics II |
| Term | 2024-2025 Academic Year |
| Term | Fall and Spring |
| 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 Instructor |
1 |
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 | ||