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Programme & Unit Catalogues

## MA30084: Generalised linear models

Owning Department/School: Department of Mathematical Sciences
Credits: 6
Level: Honours (FHEQ level 6)
Period: Semester 1
Assessment Summary: EX 100%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment: MA30084 Mandatory extra work (where allowed by programme regulations)
Requisites: Before taking this module you must take MA20227
Description: Aims:
To present the theory and application of generalised linear models, including estimation, hypothesis testing and confidence intervals. To describe methods of model choice and model checking.

Learning Outcomes:
On completing the course, students should be able to
* choose an appropriate generalised linear model for a given set of data;
* fit this model using R, select terms for inclusion in the model and assess the adequacy of a selected model;
* make inferences on the basis of a fitted model and recognise the assumptions underlying these inferences and possible limitations to their accuracy.

Skills:
Numeracy T/F A
Problem Solving T/F A
Written and Spoken Communication F

Content:
Generalised linear models: Exponential families, standard form, linear predictors and link functions, deviance. Statement of asymptotic theory for the generalised linear model. Vector and matrix representation. Discrete, binary and count data. Contingency tables.
Model building: Subset selection and stepwise regression methods. Effects of collinearity in regression variables. Model checking including residuals AIC and BIC.
Programme availability:

#### MA30084 is Compulsory on the following programmes:

Department of Mathematical Sciences
• USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
• USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
• USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
• USMA-AFB05 : BSc(Hons) Statistics (Year 3)
• USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
• USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)

#### MA30084 is Optional on the following programmes:

Department of Mathematical Sciences

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.