Department of Mathematical Sciences, Unit Catalogue 2010/11 |
MA20227: Statistics 2B |
 Credits:
| 6 |
| Level:
| Intermediate |
| Period: | This unit is available in... |
| Semester 2 |
| Assessment:
| CW25EX75 |
| Supplementary Assessment: | Supplementary assessment information not currently available (this will be added shortly) |
| Requisites:
| Before taking this unit you must take MA20226 or equivalent units from MA10001 - MA10006. You may not take this unit if you have already taken MA20035. |
| 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. |