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| IST4020 | Multivariate Statistical Analysis | 4+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of STATISTICS and COMPUTER SCIENCES | | 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 Uğur ŞEVİK | | Co-Lecturer | PROF. DR. Türkan ERBAY DALKILIÇ, PROF. DR. Zafer KÜÇÜK | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of this course is to teach analysis methods about multivariate variables. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | make inferences about multi- dimensional parameters | 1,2,6 | 1 | | LO - 2 : | develop the ability of thinking in multi-dimensions | 1,2,6 | 1 | | LO - 3 : | get the ability of calculating on multi -dimensional distribution and variables | 1,2,6 | 1 | | LO - 4 : | do analysis about multi-dimensional data by using computer | 1,2,6 | 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 | | |
| Normal distribution with multi variable, T2 statistics of Hotelling, multi-variance analysis, generalized MANOVA, scales with repetition and profile analysis, classification and definition, correlation, factory analysis. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Basic definitions and concepts: Matrices, determinants, eigenvalues and eigenvectors | | | Week 2 | Two-dimensional random variables, the marginal probability and distribution functions, expected value of two-dimensional random variables | | | Week 3 | Independence, characteristic function, covariance and correlation, conditional distributions | | | Week 4 | Normal distribution, Normal distribution of two variables, marginal, conditional distributions | | | Week 5 | Some characteristics of the normal distribution probability, moments | | | Week 6 | The concept of multi-dimensional normal distribution | | | Week 7 | Maximum likelihood estimators of the normal distribution of multiple users, review and problem solving | | | Week 8 | Mid-term exam | | | Week 9 | Correlation matrix, the conditional normal distribution | | | Week 10 | Correlation coefficient: simple, partial, multi | | | Week 11 | Hypothesis testing in correlation coefficients, distribution of Wishost | | | Week 12 | t distribution and F distribution, expected value and variance | | | Week 13 | Multiple analysis of variance MANOVA | | | Week 14 | Important Components Analysis (ICA) | | | Week 15 | Differential Factor Analysis (DFA), general review, problem solving and examples | | | Week 16 | End-of-term exam | | | |
| 1 | Tatlidil, H. (1996). Uygulamalı Çok Değişkenli İstatistiksel Analiz, Akademi Matbaası, Ankara. | | | |
| 1 | Alpar, R. (1997). Uygulamalı Çok Değişkenli İstatistiksel Yöntemlere Giriş I, Bağırhan Yayınevi, Ankara. | | | 2 | Tuncer, Y. (2002). Çok değişkenli İstatistik Analize Giriş: Normal Teori, Bıçaklar Kitapevi, Ankara. | | | 3 | Johnson, R. A. and Wichern, D. W. (1982). Applied Multivariate Statistical Analysis, Prentice-Hall. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 08/04/2019 | 1,5 | 50 | | End-of-term exam | 16 | 28/05/2019 | 1,5 | 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 | 6 | 14 | 84 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 15 | 1 | 15 | | Arasınav | 0 | 1 | 0 | | Uygulama | 0 | 0 | 0 | | Klinik Uygulama | 0 | 0 | 0 | | Ödev | 8 | 2 | 16 | | Proje | 0 | 0 | 0 | | Kısa sınav | 0 | 0 | 0 | | Dönem sonu sınavı için hazırlık | 18 | 1 | 18 | | Dönem sonu sınavı | 1 | 2 | 2 | | Diğer 1 | 0 | 0 | 0 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 205 |
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