STATS 767 : Foundations of Applied Multivariate Analysis


2024 Semester One (1243) (15 POINTS)

Course Prescription

Fundamentals of exploratory analysis of multivariate data, with emphasis on the use of statistical software and reporting of results. Topics covered include: techniques for data display, dimension reduction and ordination, cluster analysis, multivariate ANOVA and associated methods.

Course Overview

Analysis of data with more than one response variable, including high dimensional cases with hundreds or thousands of responses. This course allows postgraduate students to explore this key area of statistics if they have not done so in their undergraduate degree. The course focuses on the use of software and the interpretation and presentation of results. This course includes a project where the student will analyse a dataset of their choice using skills used in this course and prerequisite courses, and prepare written and oral reports. Techniques from the course are particularly key for analysing data from Biology, Ecology, Chemistry, Finance, and Marketing. 

Course Requirements

Prerequisite: 15 points from ENGSCI 314, STATS 201, 207, 208, 707 Restriction: STATS 302

Capabilities Developed in this Course

Capability 3: Knowledge and Practice
Capability 4: Critical Thinking
Capability 5: Solution Seeking
Capability 6: Communication
Graduate Profile: Master of Science

Learning Outcomes

By the end of this course, students will be able to:
  1. Select an appropriate multivariate procedure based on a description of the data and questions of interest, and justify the choice made. (Capability 3, 4 and 5)
  2. Perform correctly multivariate procedures in a software package, and write justifications for choices made in the course of the analysis. (Capability 3, 4 and 5)
  3. Identify the assumptions of their analysis, and means of checking these assumptions. (Capability 3 and 4)
  4. Produce visualizations of multivariate data, including appropriate lables and captions, and use them appropriately in written and oral reports. (Capability 6)
  5. Summarise the conclusions of a multivariate procedure orally and in writing, using nontechnical language. (Capability 6)


Assessment Type Percentage Classification
Quizzes 10% Individual Coursework
Assignments 25% Individual Coursework
Test 25% Individual Coursework
Project 40% Individual Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5


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Key Topics

  • Exploratory and descriptive techniques including principal components, canonical variates, clustering, and multidimensional scaling; with associated visualizations
  • Non-Euclidian distances and their uses
  • Inference for differences between groups, and associations between groups of variables, using both permutation testing and parametric methods
  • Methods for dealing with multiple testing including control of the false discovery rate

Workload Expectations

This course is a standard 15-point course and students are expected to spend 150 hours per semester for each 15-point course that they are enrolled in.

For this course, a typical weekly workload includes:

  • 2 hours of lectures
  • A 1-hour software lab
  • 3 hours of reviewing the course content
  • 4 hours of work on assignments and/or test preparation

Delivery Mode

Campus Experience

Lectures will be available as recordings. 

Attendance on campus is required for the test.
The activities for the course are scheduled as a standard weekly timetable.

Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.


  • The course book will be provided

Student Feedback

During the course Class Representatives in each class can take feedback to the staff responsible for the course and staff-student consultative committees.

At the end of the course students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback.

Your feedback helps to improve the course and its delivery for all students.

Based on previous comments, we have dropped the exam for this course so that students have more time to devote to the project.  We will also be implementing peer review of the written project. 

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed for potential plagiarism or other forms of academic misconduct, using computerised detection mechanisms.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.


The content and delivery of content in this course are protected by copyright. Material belonging to others may have been used in this course and copied by and solely for the educational purposes of the University under license.

You may copy the course content for the purposes of private study or research, but you may not upload onto any third party site, make a further copy or sell, alter or further reproduce or distribute any part of the course content to another person.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page

This should be done as soon as possible and no later than seven days after the affected test or exam date.

Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

The delivery mode may change depending on COVID restrictions. Any changes will be communicated through Canvas.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter


Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.

Published on 31/10/2023 10:54 a.m.