 Academic Year:
| 2013/4 |
| 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. 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
- USMA-AFB01 : BSc (hons) Mathematics and Statistics (Full-time) - Year 2
- USMA-AKB02 : BSc (hons) Mathematics and Statistics (Full-time with Thick Sandwich Placement) - Year 2
- USMA-AAB02 : BSc (hons) Mathematics and Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 2
- USMA-AFB05 : BSc (hons) Statistics (Full-time) - Year 2
- USMA-AKB06 : BSc (hons) Statistics (Full-time with Thick Sandwich Placement) - Year 2
- USMA-AAB06 : BSc (hons) Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 2
MA20227 is Optional on the following programmes:
Programmes in Natural Sciences
- UXXX-AFB01 : BSc (hons) Natural Sciences (Full-time) - Year 2
- UXXX-AKB02 : BSc (hons) Natural Sciences with Industrial Placement (Full-time with Thick Sandwich Placement) - Year 2
- UXXX-AAB02 : BSc (hons) Natural Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 2
Department of Mathematical Sciences
- USMA-AFB15 : BSc (hons) Mathematical Sciences (Full-time) - Year 2
- USMA-AFB15 : BSc (hons) Mathematical Sciences (Full-time) - Year 3
- USMA-AKB16 : BSc (hons) Mathematical Sciences (Full-time with Thick Sandwich Placement) - Year 2
- USMA-AKB16 : BSc (hons) Mathematical Sciences (Full-time with Thick Sandwich Placement) - Year 4
- USMA-AAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 2
- USMA-AAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USMA-AFB13 : BSc (hons) Mathematics (Full-time) - Year 2
- USMA-AFB13 : BSc (hons) Mathematics (Full-time) - Year 3
- USMA-AKB14 : BSc (hons) Mathematics (Full-time with Thick Sandwich Placement) - Year 2
- USMA-AKB14 : BSc (hons) Mathematics (Full-time with Thick Sandwich Placement) - Year 4
- USMA-AAB14 : BSc (hons) Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 2
- USMA-AAB14 : BSc (hons) Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USMA-AFM14 : MMath Mathematics (Full-time) - Year 2
- USMA-AFM14 : MMath Mathematics (Full-time) - Year 3
- USMA-AAM15 : MMath Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 2
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