| Abstract | This course offers a practically oriented introduction into regression modeling methods. The basic concepts and some mathematical background are included, with the emphasis lying in learning "good practice" that can be applied in every student's own projects and daily work life. A special focus will be laid in the use of the statistical software package R for regression analysis. |
| Learning objective | The students acquire advanced practical skills in linear regression analysis and are also familiar with its extensions to generalized linear modeling. |
| Content | The course starts with the basics of linear modeling, and then proceeds to parameter estimation, tests, confidence intervals, residual analysis, model choice, and prediction. More rarely touched but practically relevant topics that will be covered include variable transformations, multicollinearity problems and model interpretation, as well as general modeling strategies.
The last third of the course is dedicated to an introduction to generalized linear models: this includes the generalized additive model, logistic regression for binary response variables, binomial regression for grouped data and poisson regression for count data. |
| Lecture notes | A script will be available. |
| Literature | Faraway (2005): Linear Models with R
Faraway (2006): Extending the Linear Model with R
Draper & Smith (1998): Applied Regression Analysis
Fox (2008): Applied Regression Analysis and GLMs
Montgomery et al. (2006): Introduction to Linear Regression Analysis |
| Prerequisites / Notice | The exercises, but also the classes will be based on procedures from the freely available, open-source statistical software package R, for which an introduction will be held.
In the Mathematics Bachelor and Master programmes, the two course units 401-0649-00L "Applied Statistical Regression" and 401-3622-00L "Statistical Modelling" are mutually exclusive. Registration for the examination of one of these two course units is only allowed if you have not registered for the examination of the other course unit. |
Competencies | | Subject-specific Competencies | Concepts and Theories | assessed | | Techniques and Technologies | assessed | | Method-specific Competencies | Analytical Competencies | assessed | | Decision-making | assessed | | Media and Digital Technologies | assessed | | Problem-solving | assessed | | Project Management | fostered | | Social Competencies | Communication | assessed | | Cooperation and Teamwork | fostered | | Customer Orientation | fostered | | Leadership and Responsibility | fostered | | Self-presentation and Social Influence | fostered | | Sensitivity to Diversity | fostered | | Negotiation | fostered | | Personal Competencies | Adaptability and Flexibility | assessed | | Creative Thinking | assessed | | Critical Thinking | assessed | | Integrity and Work Ethics | assessed | | Self-awareness and Self-reflection | fostered | | Self-direction and Self-management | fostered |
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Performance assessment as a semester course