Academic Year:
 2012/3 
Owning Department/School:
 Department of Mathematical Sciences 
Credits:
 6 
Level:
 Intermediate (FHEQ level 5) 
Period: 
Semester 2

Assessment:
 CW 25%, EX 75% 
Supplementary Assessment:  MA20227 Mandatory extra work (where allowed by programme regulations) 
Requisites:
 Before taking this unit you must take MA20226 
Description:
 Aims: Introduce the principles of building and analysing linear models, introduce the principles of statistical modelling.
Learning Outcomes: After taking this unit, students should be able to:
* Carry out analyses using linear Gaussian models, including regression and ANOVA.
* Manipulate joint, marginal and conditional distributions.
* Represent normal linear models in vector and matrix form.
Skills: Numeracy T/F A
Problem Solving T/F A
Computing Skills T/F A
Written and Spoken Communication F (in tutorials).
Content: Regression: Estimation of model parameters, tests and confidence intervals, prediction intervals, polynomial and multiple regression. Oneway analysis of variance (ANOVA): Oneway classification model. Main effects and interaction, parameter estimation, F and ttests. Use of residuals to check model assumptions: probability plots, identification and treatment of outliers.
Multivariate distributions: expectation and variancecovariance matrix of a random vector; statement of properties of the bivariate and multivariate normal distribution. The general linear model: Vector and matrix notation. examples of the design matrix for regression and ANOVA, least squares estimation, internally and externally studentised residuals.

Programme availability:

MA20227 is Compulsory on the following programmes:
Department of Mathematical Sciences
 USMAAFB01 : BSc (hons) Mathematics and Statistics (Fulltime)  Year 2
 USMAAKB02 : BSc (hons) Mathematics and Statistics (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAAB02 : BSc (hons) Mathematics and Statistics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
 USMAAFB05 : BSc (hons) Statistics (Fulltime)  Year 2
 USMAAKB06 : BSc (hons) Statistics (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAAB06 : BSc (hons) Statistics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
MA20227 is Optional on the following programmes:
Programmes in Natural Sciences
 UXXXAFB01 : BSc (hons) Natural Sciences (Fulltime)  Year 2
 UXXXAKB02 : BSc (hons) Natural Sciences with Industrial Placement (Fulltime with Thick Sandwich Placement)  Year 2
 UXXXAAB02 : BSc (hons) Natural Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
Department of Mathematical Sciences
 USMAAFB15 : BSc (hons) Mathematical Sciences (Fulltime)  Year 2
 USMAAFB15 : BSc (hons) Mathematical Sciences (Fulltime)  Year 3
 USMAAKB16 : BSc (hons) Mathematical Sciences (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAKB16 : BSc (hons) Mathematical Sciences (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
 USMAAAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFB13 : BSc (hons) Mathematics (Fulltime)  Year 2
 USMAAFB13 : BSc (hons) Mathematics (Fulltime)  Year 3
 USMAAKB14 : BSc (hons) Mathematics (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAKB14 : BSc (hons) Mathematics (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB14 : BSc (hons) Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
 USMAAAB14 : BSc (hons) Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFM14 : MMath Mathematics (Fulltime)  Year 2
 USMAAFM14 : MMath Mathematics (Fulltime)  Year 3
 USMAAAM15 : MMath Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
