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| MAT2006 | Probability and Statistics II | 4+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Doç. Dr. Elif BAŞKAYA | | Co-Lecturer | Assist. Prof. Dr. Tülay Kesemen | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of the course is to describe how to estimate meters of the population and to test the hypothesis about parameters |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | apply statistical estimation techniques(statiscal hypothesis testing, confidence interval estimation) to solve problems | 1,2,3,4,5,6,7,8 | 1 | | LO - 2 : | apply Chi-Square tests and analysis of varyans to solve statistical problems | 1,2,3,4,5,6,7,8 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Sampling theory and sample selection, arrangement of data and analyzing, the central limit theory, distribution theory, variation, .... sampling distributions and estimation, interval estimation (for the mean of the population), interval estimation (for the variance of the population), problems and introduction to hypothesis, hypothesis test about mean of the population, hypothesis test about variance of the population, importance of the Chi-square tests, problem solutions and introduction to regression analysis, regression analysis and ekk
confidence interval for the parameters and hypothesis tests, multi-variable linear regression, correlation and importance of the correlation coefficients. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Sampling Theory and Sample Selection | | | Week 2 | Arrangement of Data and Analyzing | | | Week 3 | The Central Limit Theory, Distribution Theory, Variation | | | Week 4 | Sampling Distributions and Prediction | | | Week 5 | Interval estimation (for the mean of the population) | | | Week 6 | Interval estimation (for the variance of the population) | | | Week 7 | Examples and Introduction to Hypothesis | | | Week 8 | Hypothesis test about mean of the population | | | Week 9 | Mid-term exam | | | Week 10 | Hypothesis test about variance of the population | | | Week 11 | Importance of the Ki-Square tests | | | Week 12 | Problem solutions and introduction to regression analysis | | | Week 13 | Regression analysis and EKK | | | Week 14 | Confidence interval for the parameters and Hypothesis tests | | | Week 15 | Multi-variable linear regression, correlation and importance of the correlation coefficients | | | Week 16 | End-of-term exam | | | |
| 1 | Fikri AKDENİZ ?Olasılık ve İstatistik? Nobel Kitabevi, ADANA (2007) | | | |
| 1 | Aytaç,M. "Matematiksel İstatistik" (1991) Ezgi Kitabevi Bursa | | | 2 | Akdi.Y. "Matematiksel İstatistiğe Giriş"(2005) Bıçaklar Kitabevi Ankara | | | 3 | Devore,J. L. "Probability and Statistics" (200) Duxbury Thomson Learning | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | 09/04/2014 | 2 | 50 | | End-of-term exam | 15 | 29/05/2014 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 6 | 14 | 84 | | Arasınav için hazırlık | 12 | 1 | 12 | | Arasınav | 1.5 | 1 | 1.5 | | Kısa sınav | 1.5 | 1 | 1.5 | | Dönem sonu sınavı için hazırlık | 18 | 1 | 18 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 175 |
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