# MULTIVARIATE STATISTICS

 Title ΣΤΑΤΙΣΤΙΚΗ ΠΟΛΛΩΝ ΜΕΤΑΒΛΗΤΩΝ / MULTIVARIATE STATISTICS Code 208 Faculty Engineering School Mechanical Engineering Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Sofia Panagiotidou Common Yes Status Active Course ID 20000307

### Programme of Study: UPS of School of Mechanical Engineering

Registered students: 81
OrientationAttendance TypeSemesterYearECTS
EnergyElective Courses belonging to the other745
Design and StructuresElective Courses belonging to the other745
Industrial ManagementCompulsory Course belonging to the selected specialization (Compulsory Specialization Course)745

 Academic Year 2018 – 2019 Class Period Winter Faculty Instructors Instructors from Other Categories Weekly Hours 4 Class ID 600130794

### Class Schedule

 Building Πολυτεχνείο - πτέρυγα Β (Πολιτικών Μηχ.) Floor Όροφος 1 Hall 561-562 (89) Calendar Τρίτη 13:00 έως 15:00 Building Πολυτεχνείο - πτέρυγα Β (Πολιτικών Μηχ.) Floor Όροφος 1 Hall 553-554 (90) Calendar Δευτέρα 11:00 έως 13:00
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
Required Courses
• 114 STATISTICS
General Prerequisites
The course "Statistics" is not formally a prerequisite but sufficient knowledge of its content is essential for the effective understanding of the concepts in "Multivariate Statistics".
Learning Outcomes
The main objective is the understanding of the theory fundamentals and the ability for practical implementation of statistical analysis methods in problems where more than one random variables are involved. In parallel, the course aims at deepening the understanding of basic concepts of probability theory and statistical inference.
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Make decisions
• Work autonomously
• Advance free, creative and causative thinking
Course Content (Syllabus)
Two and higher-dimensional random variables: joint, marginal and conditional distributions. Covariance and correlation. Independent random variables, sums of independent random variables. The bivariate normal distribution. Analysis of variance: the fixed and random effects models for one factor. Design of statistical experiments: factorial and fractional factorial experiments, design and statistical analysis. Response surface methodology. Simple and multiple linear regression, nonlinear regression, correlation.
Keywords
Statistics, Probability
Educational Material Types
• Notes
• Book
• Computer software
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Description
Utilization of specialized computer software for problem solving. Posting of announcements, notes and information regarding the course at eLearning (https://elearning.auth.gr/course/view.php?id=7412).
Course Organization
Lectures521.7
Interactive Teaching in Information Center60.2
Written assigments130.4
Exams50.2
Total1505
Student Assessment
Description
The final grade M is a combination of the grades in the final written examination (T), the midterm examination (Π) and the project/homework (E) as follows: • If either Τ < 4,5 or (Τ+Π)/2 < 4, then the final grade is Μ = (0,8)Τ. • In every other case the final grade is Μ = max {(0,6)Τ + (0,3)Π + (0,2)Ε, (0,8)T}.
Student Assessment methods
• Written Exam with Short Answer Questions (Summative)
• Written Assignment (Summative)
• Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
1. Χαλικιάς, Ι.Γ. "Στατιστική, Μέθοδοι ανάλυσης για επιχειρηματικές αποφάσεις", εκδ. Rosili, Αθήνα, 2010. 2. Keller, G. "Στατιστική για οικονομικά και διοίκηση επιχειρήσεων", εκδ. Επίκεντρο, Θεσσαλονίκη, 2010. 3. Μυλωνάς, Ν. και Παπαδόπουλος, Β. "Πιθανότητες & Στατιστική για Μηχανικούς", εκδ. Τζιόλα, Θεσσαλονίκη, 2017.