# GENERAL LINEAR MODELS - 2017/8

Module code: MAT2002

Module provider

Mathematics

Module Leader

GODOLPHIN E Prof (Maths)

Number of Credits

15

ECT Credits

7.5

Framework

FHEQ Level 5

JACs code

G100

Module cap (Maximum number of students)

N/A

Module Availability

Semester 1

Overall student workload

Independent Study Hours: 117

Lecture Hours: 27

Laboratory Hours: 8

Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Examination | EXAMINATION | 80% |

Coursework | 1 COURSEWORK | 20% |

Alternative Assessment

N/A

Prerequisites / Co-requisites

MAT1033 Probability and Statistics

Module overview

This module introduces least squares fitting, methods of inference based on normal theory, diagnostics and analysis of data from simple designs.

Module aims

Introduce basic concepts of statistical modelling

study model fitting and selection for simple linear regression, polynomial regression and multiple regression models

consider and analyse simple experimental design models

use linear models in prediction and problems that may arise

use of R to apply theory to practical data analysis, using data from various areas of business and economics, science and industry

Learning outcomes

Attributes Developed | |
---|---|

Express regression models as linear equations or in matrix form | KC |

Calculate estimates of the parameters of simple linear regression (SLR) models by least squares . | KC |

Calculate confidence intervals and carry out tests for parameters of SLR models . | KC |

Calculate confidence and predictive intervals for predictions | KC |

Explain methods for selecting variables in multiple regression models | KCPT |

Explain the meaning of outliers and influential observations and apply methods to identify them. | KCPT |

Carry out the analysis of a completely randomised design (calculate the Analysis of Variance Table, table of means, standard errors of means and standard errors of differences) | KCPT |

Perform tests for fixed effects, use contrasts for equi-replicate designs and methods for unplanned comparisons | KC |

Analyse a randomised block design (calculate the Analysis of Variance Table, test for fixed effects and least squares estimates) | KCPT |

Analyse data, using these methods and write up the results in a report | KCPT |

Interpret computer output of the above methods. | KCPT |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

Module content

Indicative content includes:

Review of one and two sample normal-based methods

revision of R and further use of R

Covariance and correlation

The simple linear regression model – least squares estimation, prediction

Multiple regression and selection of variables

Completely randomised and randomised block experiments – one-way and two-way analyses with interaction

Contrasts

General regression approach to analysis, residual analysis and diagnostics

Methods of Teaching / Learning

The learning and teaching strategy is designed to provide:

A detailed introduction to the theory behind linear models using least squares estimation

Experience (through data analysis and R practicals) of the methods used to interpret, understand and solve problems in analysis

The learning and teaching methods include:

3 x 1 hour lecture the first week and then 2 x 1 hour lectures per week x 10 weeks, with additional notes on white board to supplement the module handbook and Q + A opportunities for students

1 x 1 hour practical session using R per week x 10 weeks to analyse data using the techniques learnt with lecturer/tutor walking around to support learning.

Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate:

· Understanding of and ability to interpret and manipulate mathematical statements.

· Subject knowledge through the recall of key definitions, theorems and their proofs.

· Analytical ability through the solution of unseen problems in the coursework, test and exam.

Thus, the summative assessment for this module consists of:

· One two hour examination at the end of the Semester; worth 80% module mark.

· One Coursework, worth 20% module mark.

Formative assessment and feedback

Students receive written feedback via marked coursework assignment over an 11 week period. In addition, verbal feedback is provided by lecturer at practicals.

Reading list

Reading list for GENERAL LINEAR MODELS : http://aspire.surrey.ac.uk/modules/mat2002

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2017/8 academic year.