ST523: Statistical Modelling

Study Board of Science

Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N360004102
Assessment: Second examiner: External
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Bachelor

STADS ID (UVA): N360004101
ECTS value: 10

Date of Approval: 23-04-2024

Duration: 1 semester

Version: Approved - active


The course is co-read with ST813.

Entry requirements

The course cannot be chosen if you have passed, registered, or have followed ST813, or if ST813 is a constituent part of your Curriculum.

Academic preconditions

Academic preconditions. Students taking the course are expected to:

  • Have knowledge of linear algebra, calculus, basic statistics
  • Be able to use the statistical software R

Course introduction

The aim of the course is to enable the student to work with linear and generalized linear models from a theoretical as well as applied perspective. Students will gain insight into the mathematical structure of linear and generalized linear models, including experience in recognizing such models from a given statistical problem.
The course builds on the knowledge acquired in the courses ST521: Mathematical Statistics and on knowledge of linear algebra corresponding to the course MM505 Linear Algebra or MM538: Algebra and Linear Algebra, and gives an academic basis for advanced courses in statistics and master thesis projects.

In relation to the competence profile of the degree it is the explicit focus of the course to:
  • Give the competence to handle model building and/or model calculations.
  • Give skills to perform statistical analyses.
  • Give theoretical knowledge about and practical experience with the application of methods and models in statistics.

Expected learning outcome

The learning objective of the course is that the student demonstrates the ability to:
  • Recognize the different types of statistical models and describe their similarities and differences, and explain the role that the response variable, explanatory variables, variance function and link function play for statistical modeling;
  • manipulate the mathematical and statistical elements of linear and generalized linear models, such as parameters and principles of estimation, the derivation of statistical tests based on standard errors deviance and residual sum of squares;
  • derive theoretical properties of new models based on the general theory and clearly distinguish between exact and asymptotic results;
  • give an overview of the most important examples of linear and generalized linear models as well as identify which problems can be solved by means of such models;
  • apply the theoretical results for linear and generalized linear models to concrete examples and explain the practical interpretation of the results
  • recognize the importance of and the difference between regression and dispersion parameters, and use this knowledge in practical and theoretical contexts;
  • carry out practical data analysis using statistical modeling, including investigation of a model’s adequacy using residual analysis;
  • perform the statistical analysis using the statistical software R, including the ability to identify and interpret relevant information in the program output;
  • document the results of a statistical analysis in the form of a written report.


The following main topics are contained in the course:
  • Linear models, simple and multiple regression. 
  • Parameter estimation, hypothesis tests and confidence regions. 
  • Residual analysis. 
  • Transformation of variables, polynomial regression. 
  • The one-way ANOVA model. 
  • Model building and variable selection. 
  • Prediction.
  • Natural exponential families; moment generating functions; variance functions; 
  • Dispersion models; 
  • Likelihood theory; 
  • Chi -square, F- and t-tests; analysis of deviance; 
  • Iterative least- squares algorithm; 
  • Normal-theory linear models, 
  • Logistic regression, 
  • Analysis of count data, positive data.
  • Applications of statistical modelling to different data types, amongst others examples from health sciences, biology, economy, etc.


See itslearning for syllabus lists and additional literature references.

Examination regulations

Exam element a)




2 take-home assignments, graded overall




Second examiner: External


7-point grading scale


Full name and SDU username


Normally, the same as teaching language

Examination aids

To be announced during the course.

ECTS value


Indicative number of lessons

80 hours per semester

Teaching Method

The teaching method is based on three phase model.

  • Intro phase: 48 hours
  • Skills training phase: 32 hours, hereof: Tutorials: 32 hours

In the intro phase a modified version of the classical lecture is employed, where the terms and concepts of the topic are presented, from theory as well as from examples based on actual data. In these hours there is room for questions and discussions.
In the training phase the students work with data-based problems and discussion topics, related to the content of the previous lectures in the intro phase. In these hours there is a possibility of working specifically with selected difficult concepts.
In the study phase the students work independently with problems and the understanding of the terms and concepts of the topic. Questions from the study phase can afterwards be presented in either the intro phase hours or the training phase hours.

Educational activities 

  • Work with the new concepts and terms introduced.
  • Increase their understanding of the topics covered during the lectures.
  • Solve relevant exercises.
  • Read the text book chapters and the scientific journal articles provided as support for the lectures

Teacher responsible

Name E-mail Department
Birgit Debrabant Institut for Matematik og Datalogi (00)


Administrative Unit

Institut for Matematik og Datalogi (matematik)

Team at Educational Law & Registration


Offered in


Recommended course of study

Profile Education Semester Offer period

Transition rules

Transitional arrangements describe how a course replaces another course when changes are made to the course of study. 
If a transitional arrangement has been made for a course, it will be stated in the list. 
See transitional arrangements for all courses at the Faculty of Science.