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Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course General Introduction Information

Course Code: MAK461
Course Name: Statistics
Course Semester: Spring
Course Credits:
ECTS
6
Language of instruction:
Course Requirement:
Does the Course Require Work Experience?: No
Type of course: Departmental Elective
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery: Face to face
Course Coordinator : Assoc. Prof. HATİCE ESRA ÖZKAN UÇAR
Course Lecturer(s): Prof. Dr. Esra UÇAR
Course Assistants:

Course Purpose and Content

Course Objectives: In this course, the student is expected to understand the basic arguments of probability and statistics theory and to be competent enough to apply them.
Course Content: Probability types and statistical analysis approaches

Learning Outcomes

The students who have succeeded in this course;
1) Calculates permutations and combinations.
2) Understands what a random variable is.
3) Defines basic probability terminologies such as experiment, result, sample space, event.
4) Defines a probability distribution and probability density function.
5) Understands the concept of mathematical expectation.
6) Explains the concepts of joint, marginal and conditional distribution.
7) Understands when/where specific probability distributions should be used.
8) It defines various special continuous distributions.
9) Can solve problems independently.

Course Flow Plan

Week Subject Related Preparation
1) Sets, Combinatoric Methods, Binomial Coefficients I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
2) Sample Space, Event, Probability of an Event, Some Probability Rules I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
3) Conditional Probability, Independent Events, Bayes Theorem I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
4) Random Variables, Discrete Probability Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
5) Continuous Random Variables I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
6) Common Distributions I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
7) Marginal and Conditional Distributions I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
8) Mathematical Expectation of a Random Variable, Moments I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
9) Chebyshev's Theorem, Moment Generating Functions I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
10) Product Moments, Conditional Expectation I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
11) Discrete Uniform Distribution, Bernolli Distribution, Binomial Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
12) Negative Binomial and Geometric Distributions, Hypergeometric Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
13) Poisson Distribution, Uniform Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
14) Normal Distribution, Normal Approach to Binomial Distribution, Normal Approach to Poisson Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
15) Finals Week
16) Finals Week
17) Finals Week

Sources

Course Notes / Textbooks: Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 978-0-07-154426-9, 2009.
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
References: Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 978-0-07-154426-9, 2009.
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.

Course - Learning Outcome Relationship

No Effect 1 Lowest 2 Medium 3 Highest
       
Program Outcomes Level of Contribution
1) Ability to utilize advanced theoretical and applied knowledge in the field.
2) Using the advanced knowledge and skills acquired in the field, being able to interpret and evaluate data, identify problems, analyze them, and develop solution proposals based on research and evidence.
3) Being able to organize and implement projects and activities for the social environment in which one lives with a sense of social responsibility.
4) Being able to follow information in one foreign language at least at the European Language Portfolio B1 General Level and communicate with colleagues in the field.
5) Ability to use information and communication technologies together with at least European Computer Driving License Advanced Level computer software, as required by the field.
6) Being able to evaluate advanced knowledge and skills in the field critically.
7) Identifying learning needs and being able to direct learning.
8) Developing a positive attitude towards lifelong learning.
9) Acting in accordance with social, scientific, cultural, and ethical values ​​in the stages of collecting, interpreting, applying, and announcing the results related to the field.
10) Having sufficient awareness about the universality of social rights, social justice, quality culture, preservation of cultural values, as well as environmental protection, occupational health, and safety.
11) Being able to conduct an advanced study independently in the field.
12) To take responsibility individually and as a team member to solve complex problems encountered in the field of application, which are unforeseen.
13) Being able to plan and manage activities for the development of those under their responsibility within the framework of a project.
14) Possess advanced level theoretical and practical knowledge supported by textbooks with updated information, practice equipments and other resources.
15) Being able to inform relevant individuals and institutions about the field; expressing their thoughts and solution proposals for problems both in written and verbal form.
16) Being able to share your thoughts and solutions regarding subjects related to the field with both experts and non-experts, supported by quantitative and qualitative data.

Learning Activity and Teaching Methods

Bireysel çalışma ve ödevi
Course
Homework
Problem Çözme

Measurement and Evaluation Methods and Criteria

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework
Uzman / Jüri Değerlendirmesi

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Homework Assignments 1 % 20
Midterms 1 % 30
Final 1 % 40
Kanaat Notu 1 % 10
total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
total % 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities Number of Activities Aktiviteye Hazırlık Aktivitede Harçanan Süre Aktivite Gereksinimi İçin Süre Workload
Course Hours 17 2 34
Study Hours Out of Class 14 2 28
Midterms 1 48 48
Final 1 60 60
Total Workload 170