STAT40150 Multivariate Analysis

Academic Year 2021/2022

Multivariate analysis considers many response variables simultaneously. This module will cover many of the common techniques used to analyze multivariate data: clustering techniques, classification techniques, ordination techniques such as principal components analysis and graphical techniques such as multidimensional scaling. The emphasis will be on understanding the methodology, applying it using statistical software and the subsequent interpretation of standard output. This course will introduce and make use of the free statistical software R (

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Curricular information is subject to change

Learning Outcomes:

The student will be familiarised with the basic multivariate techniques, why they work, how to use them and where their use is appropriate. The student will develop skills to conduct an analysis of multivariate data using statistical software, interpret the results and draw conclusions. The student will be made aware of the advantages and limitations of each method.

Additionally students will be equipped with the necessary transferable skills for statistical analysis in the real world: developing application domain knowledge and presenting reports of analyses.

Indicative Module Content:

Anticipated content:

Introduction to multivariate data.
Mathematical necessities.
Multidimensional scaling
Principal components analysis
Factor analysis

Student Effort Hours: 
Student Effort Type Hours
Specified Learning Activities


Autonomous Student Learning




Computer Aided Lab




Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning. 
Requirements, Exclusions and Recommendations
Learning Requirements:

Basic statistics modules covering e.g. hypothesis testing, inference, regression, maximum likelihood estimation. Elementary matrix algebra including eigenvalues and eigenvectors.

Module Requisites and Incompatibles
STAT40340 - Multivariate Analysis, STAT40740 - Multivariate Analysis (Online)

Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: Examination 2 hour End of Trimester Exam No Standard conversion grade scale 40% No


Assignment: Assignments involving use of e.g. statistical software, oral presentations, report writing. Throughout the Trimester n/a Standard conversion grade scale 40% No


Carry forward of passed components
Resit In Terminal Exam
Summer Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Everitt, B. S. An R and S-PLUS Companion to Multivariate Analysis
Härdle, W.and Simar, L. Applied Multivariate Statistical Analysis.
Everitt, B. and Hothorn, T. An introduction to applied multivariate analysis with R.
Johnson, R. and Wichern, D. Applied Multivariate Statistical Analysis.
Venables, W. and Ripley, B. Modern Applied Statistics with S.
Lattin, J., Carroll, J., and Green, P. Analyzing Multivariate Data.
Everitt, B. and Hothorn, T. A Handbook of Statistical Analyses Using R.
Hastie, T., Tibshirani, R. and Friedman, J. (2009) The Elements of Statistical Learning: Data Mining, Inference and Prediction.
James, G., Witten, D. Hastie, T. and Tibshirani, R. (2017) An Introduction to Statistical Learning with Applications in R
Name Role
Mr Ganesh Babu Tutor
Gerardina Celentano Tutor
Mr Wenxuan Liu Tutor
Brian O'Sullivan Tutor
Luiza Piancastelli Tutor
Ms Iuliia Promskaia Tutor
Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Lecture Offering 1 Week(s) - 19, 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32 Mon 10:00 - 10:50
Lecture Offering 1 Week(s) - 19, 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32 Wed 16:00 - 16:50
Computer Aided Lab Offering 2 Week(s) - 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32 Mon 16:00 - 16:50
Computer Aided Lab Offering 3 Week(s) - 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32 Mon 14:00 - 14:50
Computer Aided Lab Offering 4 Week(s) - 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32 Thurs 12:00 - 12:50