Statistical Inference

The course is part of Matematikprogrammet and can also be taken as a stand-alone course.

The course can be included in the following programmes: 1) Matematikprogrammet (N1MAT).

Knowledge corresponding to the courses MMG200 Mathematics 1, MMG300 Multivariable Analysis and MSG110 Probability Theory.

This is a second course in mathematical statistics introducing the following key topics of statistical inference:

• sampling designs and summarizing data,
• maximum likelihood estimation of parameters,
• parametric and non-parametric inference,
• analysis of variance, linear least squares, chi-squared tests for categorical data,
• introduction to Bayesian inference.

After completion of the course the student should be able to:

• summarize multiple sample data in a meaningful and informative way,
• recognize several basic types of statistical problems corresponding to various sampling designs,
• estimate relevant parameters and perform appropriate statistical tests for multiple sample data sets.

Lectures and exercise sessions.

Written examination and compulsory project.

The grading scale comprises: Pass with Distinction (VG), Pass (G) and Fail (U).

A course evaluation is carried out by means of an anonymous questionnaire and/or a conversation with student representatives. The results and possible changes in the course organisation should be communicated both to the students who carried out the evaluation and to the students who will start the course.