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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 | Face to face | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Elif BAŞKAYA | | Co-Lecturer | 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 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, confidence interval for the parameters and hypothesis tests, |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Sample (Sample Selection) | | | Week 2 | Data Sorting and Analysis (Frequency Distribution, Graphical Demonstration, Measures of Central Tendancy) | | | Week 3 | Data Sorting and Analysis (Distribution Measures, Variation Coefficient) | | | Week 4 | Sample Distribution (Some Properties of Mean and Variance) and Estimation | | | Week 5 | Interval Estimation for the Difference of Means of Two Masses | | | Week 6 | Interval Estimation for the Ratio of Variances of Two Masses | | | Week 7 | Interval Estimation for the Binomial Parameter p | | | Week 8 | Statistical Inference: Introduction to Hypothesis Testing | | | Week 9 | Mid-term | | | Week 10 | Testing of Simple Hypothesis | | | Week 11 | Hypothesis Testing for the Mean of a Mass with Normal Distribution and Known Variance | | | Week 12 | Hypothesis Testing for the Means of Two Masses with Normal Distribution | | | Week 13 | Hypothesis Testing for the Parameter p of Binomial Distribution | | | Week 14 | Hypothesis Testing for the Difference of Two Binomial Parameters | | | Week 15 | Significance tests with Chi-Square | | | Week 16 | Final 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 | 10/11/2019 | 2 | 50 | | End-of-term exam | 15 | 06/01/2019 | 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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