Department of Mathematical Sciences, Unit Catalogue 2011/12
|Level:||Intermediate (FHEQ level 5)|
|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|
Introduce the principles of building and analysing linear models, introduce the principles of statistical modelling.
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.
Numeracy T/F A
Problem Solving T/F A
Computing Skills T/F A
Written and Spoken Communication F (in tutorials).
Regression: Estimation of model parameters, tests and confidence intervals, prediction intervals, polynomial and multiple regression. One-way analysis of variance (ANOVA): One-way classification model. Main effects and interaction, parameter estimation, F- and t-tests. Use of residuals to check model assumptions: probability plots, identification and treatment of outliers.
Multivariate distributions: expectation and variance-covariance 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.
MA20227 is Compulsory on the following programmes:Department of Mathematical Sciences
MA20227 is Optional on the following programmes:Programmes in Natural Sciences