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: 80
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Energy | Elective Courses belonging to the other | 7 | 4 | 5 |
| Design and Structures | Elective Courses belonging to the other | 7 | 4 | 5 |
| Industrial Management | Compulsory Course belonging to the selected specialization (Compulsory Specialization Course) | 7 | 4 | 5 |
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Instructors from Other Categories |
|
| Weekly Hours | 4 |
| Class ID | 600170945
|
Course Type 2016-2020
- Background
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600170945
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=7412
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
1.Understand basic concepts of probability theory
2.Understand the statistical analysis methods in problems where more than one random variables are involved
3.Recognize the importance of statistical experiments
4.Apply computer software (SPSS, Data analysis, Minitab) for statistical data analysis
5.Interpret the results of 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
- Slide presentations
- 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
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | 1.7 | ✓ | ||
| Reading Assigment | 74 | 2.5 | ✓ | ✓ | |
| Interactive Teaching in Information Center | 6 | 0.2 | ✓ | ||
| Written assigments | 13 | 0.4 | ✓ | ||
| Exams | 5 | 0.2 | ✓ | ||
| Total | 150 | 5 |
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.
Additional bibliography for study
- Antony, J., Kaye, M., Experimental Quality, Kluwer, 1999.
- Cobb, G.W., Introduction to Design and Analysis of Experiments, Springer, 2002.
- Montgomery, D.C., Design and Analysis of Experiments, Wiley, 2008.
- Montgomery, D.C., Runger, G.C., Applied Statistics and Probability for Engineers, Wiley, 2006.
- Montgomery, D.C., Runger, G.C., Hubele, N.F., Engineering Statistics, Wiley, 2007.
Last Update
07-06-2020
