Course Title: Multivariate Analysis

Part A: Course Overview

Course Title: Multivariate Analysis

Credit Points: 12.00

Terms

Course Code

Campus

Career

School

Learning Mode

Teaching Period(s)

MATH2142

City Campus

Undergraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

 Sem 2 2006,
Sem 2 2007,
Sem 2 2008,
Sem 2 2009,
Sem 2 2010,
Sem 2 2011,
Sem 2 2012,
Sem 2 2013,
Sem 2 2014,
Sem 2 2015,
Sem 2 2016

MATH2142

City Campus

Undergraduate

171H School of Science

Face-to-Face

 Sem 2 2017,
Sem 2 2018,
Sem 2 2019,
Sem 2 2020,
Sem 2 2021,
Sem 2 2022,
Sem 2 2023,
Sem 1 2024

Course Coordinator: Professor Irene Hudson

Course Coordinator Phone: +61 3 9925 3224

Course Coordinator Email: irene.hudson@rmit.edu.au

Course Coordinator Location: 08.09.28

Course Coordinator Availability: By appointment, by email


Pre-requisite Courses and Assumed Knowledge and Capabilities

Required Prior Study

You should have satisfactorily completed following course/s before you commence this course.

Alternatively, you may be able to demonstrate the required skills and knowledge before you start this course.

Contact your course coordinator if you think you may be eligible for recognition of prior learning.

Assumed Knowledge

Students are assumed to have knowledge of univariate statistical Inference, that is univariate estimation procedures and statistical hypotheses testing, when participating in this course.


Course Description

The course will cover both extensions of univariate techniques such as estimation, hypothesis testing, and techniques unique to the multivariate setting such as the dimension reduction method of principal components analysis. Group structure in multivariate measurements will be explored with principal component analysis, factor analysis, discriminant analysis and cluster analysis. Skills will be developed with SAS, a leading statistical analysis software package.

Please note that if you take this course for a bachelor honours program, your overall mark in this course will be one of the course marks that will be used to calculate the weighted average mark (WAM) that will determine your award level. See the WAM information web page for more information.


Objectives/Learning Outcomes/Capability Development

This course contributes to the development of the following Program Learning Outcomes for BP083P20 Bachelor of Science (Applied Mathematics and Statistics) and BH119 Bachelor of Analytics (Honours):

PLO 1 Knowledge and technical competence

  • The ability to use the appropriate and relevant, fundamental and applied mathematical and statistical knowledge, methodologies and modern computational tools.

PLO 2 Problem-solving

  • The ability to bring together and flexibly apply knowledge to characterise, analyse and solve a wide range of problems
  • An understanding of the balance between the complexity / accuracy of the mathematical / statistical models used and the timeliness of the delivery of the solution.


On successful completion of this course, you will be able to

  1. Perform exploratory analysis of multivariate data, such as plot multivariate data, calculating descriptive statistics, testing for multivariate normality;
  2. Conduct statistical inference about multivariate means including hypothesis testing, confidence ellipsoid calculation and different types of confidence intervals estimation;
  3. Undertake statistical analyses using appropriate multivariate techniques, which includes principal component, factor analysis, discriminant and clustering analysis;
  4. Analyse multivariate data using the SAS statistical software package.


Overview of Learning Activities

There will be a combination of lectorials to cover theoretical concepts and practical lab sessions to apply theory to practice and analytics using the SAS package.

The course will be delivered using lectorials including interactive problem sessions. Pre-recorded lectures will explain theories underlying multivariate techniques, with demonstrations using real applications from varied disciplines. The course material is designed to offer you a balance between theory and applied examples. In addition the problem sessions will provide students opportunities to learn programming for multivariate data analysis using the industry standard package SAS.

All course materials such as lecture notes, lab practice, exercises and assessment can be accessed from Canvas LMS.


Overview of Learning Resources

RMIT will provide you with resources and tools for learning in this course through myRMIT Studies Course.

There are services available to support your learning through the University Library. The Library provides guides on academic referencing and subject specialist help as well as a range of study support services. For further information, please visit the Library page on the RMIT University website and the myRMIT student portal.


Overview of Assessment

Assessment Tasks

Assessment Task 1: Problem based quizzes
Weighting 30%
This assessment task supports CLOs 1 & 4

Assessment Task 2: Case Study 
Weighting 30%
This assessment task supports CLOs 1, 2, 3 & 4

Assessment Task 3: Project
Weighting 40%
This assessment supports CLOs 2 & 3

If you have a long-term medical condition and/or disability it may be possible to negotiate to vary aspects of the learning or assessment methods. You can contact the program coordinator or Equitable Learning Services if you would like to find out more.