Advanced Statistics (STAT4401)
Information valid for Semester 2, 2025
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
In Person
Class hours
Lecture 3 Hours/ Week
Applied Class 1 Hour/ Week
3L1A
Incompatible
STAT3003, STAT7303, STAT7502
Prerequisite
STAT3001
Assessment methods
Assignments
Course enquiries
Professor Geoffrey McLachlan (Semester 2, Regular, St Lucia, In person)
Professor Geoffrey McLachlan
Current course offerings
Course offerings | Location | Mode | Course Profile |
Semester 2, 2025 (28/07/2025 - 22/11/2025) | St Lucia | In Person | Profile unavailable |
Please Note: Course profiles marked as not available may still be in development.
Course description
The course focuses on the statistical mathematical understanding of machine learning and data science. Topics to be covered include theoretical frameworks for supervised learning, unsupervised learning, and semi-supervised learning. The use of mixture models for statistical learning and clustering will be covered. Approaches to the assessment of multivariate normality will be initially considered. The Akaike and Bayesian Information criteria for model choice will be derived. The bootstrap will also be considered for model choice and parameter estimation. Methods for the analysis of high-dimensional data will be covered, including the use of principal components and more complex models such as mixtures of factor analyzers. Software for the implementation of the various methods will be covered.