Department of Mathematical Sciences, Unit Catalogue 2011/12 

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
MA20227 is Optional on the following programmes:Programmes in Natural Sciences
