Department of Mathematical Sciences, Unit Catalogue 2011/12 

Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 2 
Assessment:  EX 100% 
Supplementary Assessment:  MA40090 Mandatory Extra Work (where allowed by programme regulations) 
Requisites:  Before taking this unit you must take MA20216 and take MA20227 
Description:  Aims & Learning Objectives: Aims: To develop skills in the analysis of multivariate data and study the related theory. Objectives: Be able to carry out a preliminary analysis of multivariate data and select and apply an appropriate technique to look for structure in such data or achieve dimensionality reduction. Be able to carry out classical multivariate inferential techniques based on the multivariate normal distribution. Content: Introduction, Preliminary analysis of multivariate data. Revision of relevant matrix algebra. Principal components analysis: Derivation and interpretation; approximate reduction of dimensionality; scaling problems. Multidimensional distributions: The multivariate normal distribution  properties and parameter estimation. One and twosample tests on means, Hotelling's Tsquared. Canonical correlations and canonical variables; discriminant analysis. Topics selected from: Factor analysis. The multivariate linear model. Metrics and similarity coefficients; multidimensional scaling. Cluster analysis. Correspondence analysis. Classification and regression trees. 
Programme availability: 
MA40090 is Optional on the following programmes:Department of Mathematical Sciences
