## ST3MVA-Multivariate Data Analysis

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:6
Terms in which taught: Autumn term module
Pre-requisites: MA1LA Linear Algebra or CS1MA16 Mathematics for Computer Science or SE1MA15 Mathematics
Non-modular pre-requisites: knowledge of basic probability
Co-requisites:
Modules excluded: ST4MVA Multivariate Data Analysis
Current from: 2018/9

Module Convenor: Miss Hannah Fairbanks

Type of module:

Summary module description:
This module introduces methods for the analysis of data involving several measurements, where the aim is to identify similarities and differences between observations.

Aims:
In many experiments or surveys, several different variables are recorded for each of many individuals. The problems associated with this sort of data can be tackled using multivariate data analysis techniques. The methods to be discussed will be descriptive in nature and include the following topics: principal component analysis; canonical variates analysis; cluster analysis; factor analysis. The theory of the methods will be shown, together with how to apply them in practice.

Assessable learning outcomes:
By the end of the module it is expected that the student will have:

• knowledge of the role of multivariate data analysis in statistics;
• the ability to identify, justify and explain the most appropriate statistical techniques for a multivariate dataset;
• the ability to carry out commonly used multivariate data analysis techniques, and interpret results;
• the ability to use statistical software packages for the analysis of multivariate data.

Outline content:

Graphical techniques to show multivariate data.

Principal component analysis; factor analysis.

Cluster analysys.

Cononical variate analysis; discriminant functions, canonical correlation.

Correspondence analysis; biplots; singular value decomposition.

Multi-dimensional scaling.

Use of a software package for multivariata data analysis.

Brief description of teaching and learning methods:
Lectures supported by problem sheets, tutorials and PC practicals.

Contact hours:
 Autumn Spring Summer Lectures 15 Tutorials 4 Practicals classes and workshops 5 Guided independent study 76 Total hours by term 100.00 Total hours for module 100.00

Summative Assessment Methods:
 Method Percentage Written exam 80 Set exercise 20

Summative assessment- Examinations:

2 hours

Summative assessment- Coursework and in-class tests:

A number of assignments and one examination

Formative assessment methods:
Problem sheets and practicals.

Penalties for late submission:
The Module Convener will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day[1] (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

• The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:
A mark of at least 40% overall.

Reassessment arrangements:
One examination paper of 2 hours duration in August/September - the resit module mark will be the higher of the exam mark (100% exam) and the exam mark plus previous coursework marks (80% exam, 20% coursework).

1) Required text books:
2) Specialist equipment or materials:
3) Specialist clothing, footwear or headgear:
4) Printing and binding:
5) Computers and devices with a particular specification:
6) Travel, accommodation and subsistence:

Last updated: 20 April 2018

THE INFORMATION CONTAINED IN THIS MODULE DESCRIPTION DOES NOT FORM ANY PART OF A STUDENT'S CONTRACT.