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 FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES Course Catalog http://www.ktu.edu.tr/isbb Phone: +90 0462 +90 (462) 3773112 FENF
FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES /

 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
 Contents of the Course
 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.
 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
 Textbook / Material
 1 Tatlidil, H. (1996). Uygulamalı Çok Değişkenli İstatistiksel Analiz, Akademi Matbaası, Ankara.