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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| MATHEMATICS PR. | |
| Code | MT262 |
| Name | Statistics |
| Term | 2021-2022 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. SADULLAH SAKALLIOĞLU |
| Course Instructor |
Prof. Dr. SADULLAH SAKALLIOĞLU
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To understand some continuous distributions, to teach sampling and sample selection methods, to analyze the data, measures of central tendency and dispersion are given, to teach the methods of sampling distributions and estimation, hypothesis tests, to apply tests based on chi-square tests.
Course Content
Gauss distribution, sampling distributions, estimation, confidence intervals, hypothesis testing, power of test, chi-square test
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognize some continuous distributions |
| LO02 | Recognize the methods of sampling and sample selection. |
| LO03 | Prepare frequenc table. |
| LO04 | Understand measures of central tendency and dispersion measures. |
| LO05 | Knows and understands sampling distributions and their properties. |
| LO06 | Learns and uses methods of estimation. |
| LO07 | Apply hypothesis testing. |
| LO08 | Able to carry out Chi-square tests for independence and goodness of fits |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. | 4 |
| PLO02 | - | Understands importance of basic consepts of Algebra, Analaysis and Topology. | 3 |
| PLO03 | - | Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. | 4 |
| PLO04 | - | Demonstrate the ability to express the basic theories of mathematics both correctly. | 1 |
| PLO05 | - | Understands the relationship between the different fields of mathematics and its relation to other disciplines. | 5 |
| PLO06 | - | Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. | 5 |
| PLO07 | - | Comprehend and explain mathematical models such as formulas, graphs, tables and schema. | 3 |
| PLO08 | - | Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. | 4 |
| PLO09 | - | Comprehends at least one of the computer programming languages. | 4 |
| PLO10 | - | Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. | 2 |
| PLO11 | - | Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians | 1 |
| PLO12 | - | In addition to their professional development, they demonstrate their ability to continuously improve themselves by identifying their educational needs in scientific, cultural, artistic and social areas in line with their interests and abilities. | 1 |
| PLO13 | - | Understands the programming techniques and shows the ability to do programming. | 1 |
| PLO14 | - | Demonstrates the ability to study mathematics both independently and as a group. | 5 |
| PLO15 | - | Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. | 4 |
| PLO16 | - | Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. | 3 |
| PLO17 | - | It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. | 4 |
| PLO18 | - | Gains the ability to use information technologies effectively for contemporary mathematical applications. | 1 |
| PLO19 | - | Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields. | 5 |
| PLO20 | - | Gains the consciousness of prefesional ethics and responsibility. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Normal Distribution, Standard Normal Distribution, Normal Approximation to the Binomial Distribution | Required readings | |
| 2 | Some Important Continuous Random Variables and Distributions, Problem Solving | Required readings | |
| 3 | Some Important Continuous Random Variables and Distributions, Problem Solving | Required readings | |
| 4 | Preparation of data, Frequency distribution, Graphical Representations | Required readings | |
| 5 | Measures of Central Tendency, Comparison between Central Tendency | Required readings | |
| 6 | Measures of Dispersion, Coefficient of Variation, Problem Solving | Required readings | |
| 7 | Some Properties of Sample Mean and Variance, Point Estimation, Confidence Interval | Required readings | |
| 8 | Mid-Term Exam | Written Exam | |
| 9 | Determination of Sample Size, Confidence interval for variance | Required readings | |
| 10 | Confidence Interval for the Difference Between Two Means, Confidence Interval for the Difference Between Two Proportions | Required readings | |
| 11 | Hypotheses testing for mean, hypotheses testing for variance, hypothesis testing for equality of variances | Required readings | |
| 12 | Hypotheses testing for the Difference Between Two Means, hypotheses testing for the Difference Between Two Proportions | Required readings | |
| 13 | Goodness of fit tests | Required readings | |
| 14 | Chi-Square Test for Independence | Required readings | |
| 15 | Solving problem | Review the topics discussed in the lecture notes and sources | |
| 16 | Term Exams | Written exam | |
| 17 | Term Exams | Written exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||