| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT5018 | Statistics I | Fall | 3 | 0 | 3 | 12 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | Tr |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Prof. Dr. İRİNİ DİMİTRİYADİS |
| Course Objectives: | This course provides a sound background on fundemental statistical techniques. |
|
The students who have succeeded in this course; The student who completes this course will know about the basic notions of probability and statistics, will be able to use moment generating and probability generating functions,will know about basic probability distributions, will be able to fit statistical data to theoretical distributions, will understand interval estimations and interpret hypotheses tests. The student will also be introduced to the basics of linear regression analysis. |
| Collection and tabulation of statistical data, probability, probability distributions, moments and moment generating function, the Normal distribution, approximations, the Central Limit theorem, statistical estimations, interval estimation and hypotheses testing,linear regression analysis. |
| Week | Subject | Related Preparation | |
| 1) | Statistical data analysis. Collection and graphical portrayal of data. Histograms, quantile plots, box plots.Measures of central tendency, mean, variance and skewness. | ||
| 2) | Review of probability. Definition and properties of random variables, expected value, variance and higher moments. | ||
| 3) | Discrete and continuous probability distributions.Binomial, Poisson, exponential, gamma,Normal and Chi-square distributions. | ||
| 4) | The Normal distribution. Finding areas under the Normal curve, applications and approximations to the Normal. Moments and moment generating and probability generating functions. | ||
| 5) | Sampling distributions. Merkez limit teoremi. | ||
| 6) | Statistical estimation. Properties of point estimators, moment matching and maximum likelihood estimators. Fitting statistical data to theoretical distributions. | ||
| 7) | Confidence intervals, estimation of difference between two means, proportion, variance and ratio of two variances. | ||
| 8) | Tests of Hypotheses. Small and Large sample tests. | ||
| 9) | Tests of hypotheses continued. Types of errors, power of tests. | ||
| 10) | Linear models and estimation by least squares. Simple linear regression. | ||
| 11) | Simple linear regression continued. Application examples. | ||
| 12) | Introduction to multiple linear regression. | ||
| 13) | Multiple linear regression continued. | ||
| 14) | Solution of an extended real life problem. | ||
| Course Notes: | Mathematical Statistics with Applications, Mendenhall, Scheaffer, Wackerly, Wadsworth International Student Edition. Probability and Statistics for Engineers 8th edition Ronald E Walpole. |
| References: |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | 4 | % 15 |
| Presentation | % 0 | |
| Project | 1 | % 5 |
| Seminar | % 0 | |
| Midterms | 2 | % 40 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 55 | |
| PERCENTAGE OF FINAL WORK | % 45 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 3 | 42 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 1 | 16 | 16 |
| Homework Assignments | 4 | 10 | 40 |
| Quizzes | 4 | 5 | 20 |
| Preliminary Jury | 0 | ||
| Midterms | 2 | 10 | 20 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 20 | 20 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |