STATS 4014 - Statistics Topic B - Honours
North Terrace Campus - Semester 1 - 2019
General Course Information
Course Code STATS 4014 Course Statistics Topic B - Honours Coordinating Unit School of Mathematical Sciences Term Semester 1 Level Undergraduate Location/s North Terrace Campus Units 3 Available for Study Abroad and Exchange Y Restrictions Honours students only Course Description Please contact the School of Mathematical Sciences for further details, or view course information on the School of Mathematical Sciences web site at http://www.maths.adelaide.edu.au
Course Coordinator: Dr Jono Tuke
The full timetable of all activities for this course can be accessed from Course Planner.
Course Learning OutcomesIn 2019, the topic of this course will be Advanced Data Science.
This couse will follow closely the book, "An introduction to statistical learning with applications in R" by G. James et al. 2013. The topics covered will include:
1. Outline of statistical learning:
a. Estimating functions.
b. Prediction versus interpretability.
c. Supervised versus unsupervised.
d. Regression versus classification.
e. Bias-variance trade-off.
2. Linear regression:
a. Recap of simple linear regression.
b. Recap of multiple linear regression.
c. Extensions of the linear model.
d. Comparison to K-nearest neighbor.
a. ROC curves.
b. Recap Logistic regression.
c. Linear discriminant analysis.
d. Quadratic discriminiant analysis.
e. Naive Bayes.
4. Resampling methods
5. Linear model selection and regularization
a. Subset selection.
b. Ridge regression.
c. Lasso regression.
d. Principal components regression.
e. Partial least squares.
6. Non-linear functions
a. Step functions.
b. Regression splines.
c. Smoothing splines.
d. Local regression.
e. Generalised additive models.
7. Tree-based methods
a. Decision trees.
b. Classification trees.
d. Random forests.
8. Support Vector Machines
a. Maximal margin classifier.
b. Support vector classifiers.
c. Support vector machines.
9. Unsupervised learning:
a. Principal components analysis.
b. Clustering methods.
c. Multidimensional scaling
10. Parallel processing
On successful completion of this course, students will:
1. Demonstrate an understanding of the foundational principles of machine learning
2. Recognise which method to use for a given data analysis problem.
3. Demonstrate an understanding the statistical underpinning of the chosen method.
4. Implement safely any chosen method and interpret the results.
5. Be confident to apply the methods to large datasets.
6. Apply the theory in the course to solve a range of problems at an appropriate level of difficulty.
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) Deep discipline knowledge
- informed and infused by cutting edge research, scaffolded throughout their program of studies
- acquired from personal interaction with research active educators, from year 1
- accredited or validated against national or international standards (for relevant programs)
All Critical thinking and problem solving
- steeped in research methods and rigor
- based on empirical evidence and the scientific approach to knowledge development
- demonstrated through appropriate and relevant assessment
1, 2, 3, 4. Teamwork and communication skills
- developed from, with, and via the SGDE
- honed through assessment and practice throughout the program of studies
- encouraged and valued in all aspects of learning
5 Career and leadership readiness
- technology savvy
- professional and, where relevant, fully accredited
- forward thinking and well informed
- tested and validated by work based experiences
4, 6. Self-awareness and emotional intelligence
- a capacity for self-reflection and a willingness to engage in self-appraisal
- open to objective and constructive feedback from supervisors and peers
- able to negotiate difficult social situations, defuse conflict and engage positively in purposeful debate
Required ResourcesThere are no required resources for this course.
- An introduction to statistical learning with applications in R, G.James et al. 2013 (available through canvas)
- The elements of statistical learning, T. Hastie et al. 2009 2nd Edition (available through canvas)
- Mining of massive datasets, Leskovec et al. 2014 2nd Edition (available through canvas)
Learning & Teaching Activities
Learning & Teaching ModesThe lecturer guides the students through the course material in 24 lectures. Students are expected to engage with the material in the lectures. Interaction with the lecturer and discussion of any difficulties that arise during the lecture is encouraged. Fortnightly assignments help students strengthen their understanding of the theory and practical work, and to help them gauge their progress. In the workshop, the lecturer along with the students will work through a guided analysis of a real dataset. In the workshop, the students will have hands-on experience with implementing the methods from the lectures.
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload hours Lectures 24 72 Workshop 6 34 Assignments 5 50 Total 156
Learning Activities SummaryLecture outline
Topic Lectures Outline of statistical learning: L1-2 Linear regression L3 Classification L4-5 Resampling methods L6 Linear model selection and regularization L7-10 Non-linear functions L11-14 Tree-based methods L15-18 Support Vector Machines L19 Unsupervised learning L20-22 Parallel processing L23-24
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.
Assessment Summary25% assignments, 5% presentation and 70% exam.
Assessment Related RequirementsAn aggregate mark of at least 50% is required to pass the course.
Assessment Distributed Due Weighting A1 Week 1 Friday Week 3 5% A2 Week 3 Friday Week 5 5% A3 Week 5 Friday Week 7 5% A4 Week 7 Friday Week 9 5% A5 Week 9 Friday Week 11 5% Presentation Week 6 Friday Week 12 5% Final exam Examination period 70%
SubmissionAll assessment will be submitted electronically via canvas.
Grades for your performance in this course will be awarded in accordance with the following scheme:
M11 (Honours Mark Scheme) Grade Grade reflects following criteria for allocation of grade Reported on Official Transcript Fail A mark between 1-49 F Third Class A mark between 50-59 3 Second Class Div B A mark between 60-69 2B Second Class Div A A mark between 70-79 2A First Class A mark between 80-100 1 Result Pending An interim result RP Continuing Continuing CN
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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