STATS 7023 - Computational Bayesian Statistics PG
North Terrace Campus - Semester 2 - 2024
General Course Information
Course Code STATS 7023 Course Computational Bayesian Statistics PG Coordinating Unit Mathematical Sciences Term Semester 2 Level Postgraduate Coursework Location/s North Terrace Campus Units 3 Contact Up to 3 hours per week Available for Study Abroad and Exchange Y Assumed Knowledge MATHS 2103 or MATHS 2107 or STATS 2107. Experience with the statistical package R such as would be obtained from STATS 1005 or STATS 2107 Course Description The aim of this course is to equip students with the theoretical knowledge and
practical skills to perform Bayesian inference in a wide range of practical applications. Following an introduction to the Bayesian framework, the course will focus on the main Markov chain Monte Carlo algorithms for performing inference and will consider a number of models widely used in practice. Topics covered are: Introduction to Bayesian statistics; model checking, comparison and choice; introduction to Bayesian computation; Gibbs sampler; Metropolis-Hastings algorithm; missing data techniques; hierarchical models; regression models; Gaussian process models.
Course Coordinator: Dr John Maclean
The full timetable of all activities for this course can be accessed from Course Planner.
Course Learning Outcomes
- To understand the principles of Bayesian inference and its mathematical basis.
- To understand the application of Bayesian inference in a variety of practical settings.
- To understand the computational methods used for Bayesian inference, with a focus on Markov Chain Monte Carlo methods.
- The ability to implement Markov Chain Monte Carlo Methods in R.
- The ability to apply Bayesian methods and computational techniques using Stan to solve data analytic problems.
University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s)
Attribute 1: Deep discipline knowledge and intellectual breadth
Graduates have comprehensive knowledge and understanding of their subject area, the ability to engage with different traditions of thought, and the ability to apply their knowledge in practice including in multi-disciplinary or multi-professional contexts.
Attribute 2: Creative and critical thinking, and problem solving
Graduates are effective problems-solvers, able to apply critical, creative and evidence-based thinking to conceive innovative responses to future challenges.
Attribute 4: Professionalism and leadership readiness
Graduates engage in professional behaviour and have the potential to be entrepreneurial and take leadership roles in their chosen occupations or careers and communities.
Required ResourcesThere is no presecribed text for this course. Lecture notes are provided.
Recommended ResourcesThe following resources are recommended.
- Bayesian Data Analysis, 3rd Edition. Andrew Gelman, John Carlin, Hal Stern, David Dunson, Aki Vehtari, and Donald Rubin. Chapman & Hall/CRC 2014.
- Handbook of Markov Chain Monte Carlo. Edited by Steve Brooks, Andrew Gelman, Galin L Jone, Xiaoli Meng. Chapman & Hall/CRC 2011.
Online LearningThis course uses MyUni-Canvas for providing course materials and resources, including lecture notes, assignment papers, tutorial and computing worksheets, solutions, project materials and so on. Students should check their email and MyUni announcements for this course regularly for any notices or correspondence from the Course Coordinator and tutors.
Learning & Teaching Activities
Learning & Teaching ModesContent will be delivered in a series of weekly topic videos that students watch independently.
There will be weekly workshops in one of the timetabled lecture slots in which the video content will be discussed.
The content will be reviewed in a series of 4 online quizzes.
Students will reinforce the practice and theory in a series of tutorial and practical sessions.
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Number Workload Hours Topic Videos 12 48 Workshops 12 12 Tutorials 6 18 Practicals 6 18 Quizzes 4 4 Tests 2 2 Assignments 4 54 Total 156
Learning Activities SummaryWeek 1: Introduction to Bayesian Inference, conjugate priors.
Week 2: Uninformative priors, Jeffreys priors, improper priors, two-parameter normal problems.
Week 3: Numerical integration, direct simulation and rejection sampling.
Week 4: Hierarchical models, review of Markov Chains.
Week 5: Markov Chain Monte Carlo, the Gibbs Sampler.
Week 6: The Metropolis Hastings Algorithm.
Week 7: Convergence of MCMC iterations.
Week 8: Hamiltonian Monte Carlo.
Week 9: Approximate Bayesian Computation.
Week 10: Computing with STAN.
Week 11: Bayesian regression models.
Week 12: Gaussian process models.
The University's policy on Assessment for Coursework Programs is based on the following four principles:
- Assessment must encourage and reinforce learning.
- Assessment must enable robust and fair judgements about student performance.
- Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
- Assessment must maintain academic standards.
Item Number Weight Total Assignments 3 5%,5%,10% 20% Tests 3 10% 30% Practical exam 1 20% 20% Written Exam 1 30% 30%
No information currently available.
No information currently available.
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending
Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through Access Adelaide.
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