|
 Academic Year:
| 2015/6 |
| Owning Department/School:
| Department of Mathematical Sciences |
| Credits:
| 6 |
| Level:
| Intermediate (FHEQ level 5) |
| Period: |
Semester 2 |
| Assessment Summary:
| CW 25%, EX 75% |
| Assessment Detail: |
|
| Supplementary Assessment: |
MA20227 Mandatory extra work (where allowed by programme regulations) |
| Requisites: | Before taking this module 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. 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. |
| Programme availability: |
MA20227 is Compulsory on the following programmes:Department of Mathematical Sciences
MA20227 is Optional on the following programmes:Department of Mathematical Sciences
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