# Linear Models (ΣΕΕ2)

### General

School School of Science Department of Mathematics Graduate ΣΣΕ2 1 Linear Models Lectures (Weekly Teaching Hours: 3, Credits: 7.5) Specialized general knowledge - Greek Yes (in English, reading Course) See eCourse, the Learning Management System maintained by the University of Ioannina.

### Learning Outcomes

Learning Outcomes By the end of the course students are expected to demonstrate: A strong foundation in simple linear, multiple regression and in the one- and two-way analysis of variance as well as in extending these concepts, Deep knowledge of the main assumptions of the general linear model and their implications when violated, How to conduct diagnostics and correct for the violation of the assumptions of the general linear model, How to interpret various coefficients and in general how to analyze data with linear models, How to deal with multicollinearity effects, missing data e.t.c.. Working independently Decision-making Adapting to new situations Production of free, creative and inductive thinking Synthesis of data and information, with the use of the necessary technology Working in an interdisciplinary environment

### Syllabus

The General Linear Model of full Rank and its statistical properties. Multiple Regression Analysis. Hypothesis tests, diagnostic measures and residual analysis. Variable selection. Models of non full rank. Estimable functions, One and two-way analysis of variance with equal and unequal numbers per cell.

### Teaching and Learning Methods - Evaluation

Delivery Face-to-face
Use of Information and Communications Technology Use of ICT in communication with students
Teaching Methods
Lectures 39
Independent study 70
Study and analysis of bibliography, Fieldwork 78.5
Course total 187.5
Student Performance Evaluation Final written exam in Greek (in case of Erasmus students in English).

### Attached Bibliography

• Καρακώστας, Κ. (2002). Γραμμικά Μοντέλα: Παλινδρόμηση και Ανάλυση Διακύμανσης. Πανεπιστήμιο Ιωαννίνων.
• Λουκάς, Σ. (2014).  Γενικό Γραμμικό Μοντέλο. Πανεπιστήμιο Ιωαννίνων.
• Οικονόμου, Π. και Καρώνη, Χ. (2010). Στατιστικά Μοντέλα Παλινδρόμησης, Εκδόσεις Συμεών.
• Draper, N.R. and H. Smith, (1998). Applied Regression Analysis, Third Edition, Wiley,
• Searle, S.R., (1997). Linear Models, Wiley Classics Library, Wiley,
• Seber, G.A.F. and A.J. Lee, (2003). Linear Regression Analysis, 2nd Edition, Wiley.