The University of Southampton
Courses

# STAT6090 Generalised Linear Models

## Module Overview

### Aims and Objectives

#### Module Aims

The aim of this module is to introduce students to the theory of generalised linear models for modelling relationships between variables with an emphasis on practical considerations, and to the use of specific models and associated techniques.

#### Learning Outcomes

##### Learning Outcomes

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, in particular for datasets arising in official statistics
• Use models to investigate the association structure between variables
• Check the models
• Interpret the results of modelling
• Use the statistical software packages to fit statistical models and develop computing skills
• Knowledge and understanding of the general theory of generalised linear models

### Syllabus

- Exponential family of distributions and properties (Normal, Binomial and Poisson) - Review of models for normal response models - Tables, measures of association and odds ratios - Logistic regression - Multinomial logistic regression - Ordinal regression - Poisson Regression and models for rates - Introduction to random effects models - Log linear models - Goodness of fit Statistics, Likelihood Ratio Test - Estimation

#### Special Features

Computer lab sessions.

### Learning and Teaching

#### Teaching and learning methods

Lectures with integrated computing workshops and tutorials.

TypeHours
Teaching20
Independent Study80
Total study time100

Agresti, A. (2002). Categorical Data Analysis.

Fox, J. (1997). Applied Regression Analysis, Linear Models, and Related Methods.

Dobson, A. J. (2001). An Introduction to Generalized Linear Models.

Agresti, A. (2007). An Introduction to Categorical Data Analysis.

Fox, J. (2002). An R and S-PLUS Companion to Applied Regression.

### Assessment

#### Summative

MethodPercentage contribution
Coursework  ( words) 100%

#### Referral

MethodPercentage contribution
Coursework  ( words) 100%

#### Repeat Information

Repeat type: Internal & External

#### Pre-requisites

To study this module, you will need to have studied the following module(s):

CodeModule
STAT6095Regression Modelling

### Costs

#### Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

##### Approved Calculators

Candidates may use calculators in the examination room only as specified by the University and as permitted by the rubric of individual examination papers. The University approved model is Casio FX-570 This may be purchased from any source and no longer needs to carry the University logo.

##### Stationery

You will be expected to provide your own day-to-day stationery items, e.g. pens, pencils, notebooks, etc.

##### Textbooks

Where a module specifies core texts these should generally be available on the reserve list in the library. However due to demand, students may prefer to buy their own copies. These can be purchased from any source. Some modules suggest reading texts as optional background reading. The library may hold copies of such texts, or alternatively you may wish to purchase your own copies. Although not essential reading, you may benefit from the additional reading materials for the module.

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at www.calendar.soton.ac.uk.