STAT6083 Generalised Linear Models
To introduce the theory and apply a wide range of statistical models.
Aims and Objectives
By the end of this module, you should be able to perform statistical modelling of relationships between variables (continuous and categorical) with an emphasis on practical and theoretical considerations.
Having successfully completed this module you will be able to:
- Summarise data with an appropriate statistical model.
- Use models to describe the relationship between a response and a set of explanatory variables.
- Interpret the results of the modelling.
- Use the statistical software package R to fit statistical models.
- Understand the foundation theory of Generalised Linear Models.
- Use a range of popular statistical models for continuous and categorical data.
Overview of statistical modelling, linear regression models, one-way contingency tables, quantilequantile plots, two-way contingency tables, log-linear models for rates, dummy variables and interactions, model selection, log-linear models for multi-way contingency tables, logistic regression models, regression diagnostics, multinomial logistic regression models, models for ordinal data, exponential family of distributions, Poisson regression, Negative-binomial regression, non-parametric regression, robust fitting methods, Median regression and M-estimation.
Learning and Teaching
|Total study time||200|
Resources & Reading list
Software requirements. You will require access to R, which is available on the University’s workstations and can be downloaded to your own computer for use with your studies
Agresti, A. (2007). An Introduction to Categorical Data Analysis.
Agresti, A. (2002). Categorical Data Analysis.
Dobson, A. J. (2001). An Introduction to Generalized Linear Models.
Fox, J. (1997). Applied Regression Analysis, Linear Models, and Related Methods.
Fox, J. (2002). An R and S-PLUS Companion to Applied Regression.
On-line resources. There will be a blackboard site where all the module materials (slides, computer worksheets, assignments, list of books, etc.) will be made available.
|Exam (2 hours)||50%|