 Academic Year: | 2017/8 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 6 [equivalent to 12 CATS credits] |
| Notional Study Hours: | 120 |
| Level: | Intermediate (FHEQ level 5) |
| Period: |
- Semester 2
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| Assessment Summary: | CW 25%, EX 75% |
| Assessment Detail: |
- Coursework (CW 25%)
- Examination (EX 75%)
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| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must take MA20226
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| 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.
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| Programme availability: |
MA20227 is Compulsory on the following programmes:
Department of Mathematical Sciences
- USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 2)
- USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 2)
- USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 2)
- USMA-AFB05 : BSc(Hons) Statistics (Year 2)
- USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 2)
- USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 2)
MA20227 is Optional on the following programmes:
Department of Economics
- UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 2)
- UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 3)
- UHES-AAB04 : BSc(Hons) Economics and Mathematics with Study year abroad (Year 2)
- UHES-AKB04 : BSc(Hons) Economics and Mathematics with Year long work placement (Year 2)
- UHES-ACB04 : BSc(Hons) Economics and Mathematics with Combined Placement and Study Abroad (Year 2)
Department of Mathematical Sciences
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 2)
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 2)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 2)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 2)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 2)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 2)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 2)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
- USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 2)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 2)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
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