STATS 4014 - Statistics Topic B - Honours

North Terrace Campus - Semester 1 - 2019

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

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Course Details

Course Code	STATS 4014
Course	Statistics Topic B - Honours
Coordinating Unit	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
Assessment	Ongoing assessment, exam

Course Staff

Course Coordinator: Dr Jono Tuke

Course Timetable

The full timetable of all activities for this course can be accessed from Course Planner.

Course Learning Outcomes

In 2019, the topic of this course will be Advanced Data Science.

Syllabus:

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.

3. Classification:
a. ROC curves.
b. Recap Logistic regression.
c. Linear discriminant analysis.
d. Quadratic discriminiant analysis.
e. Naive Bayes.

4. Resampling methods
a. Cross-validation.
b. Bootstraping

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.
c. Bagging.
d. Random forests.
e. Boosting.

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
a. MapReduce

Learning outcomes:

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	2

Learning Resources
Required Resources

There are no required resources for this course.

Recommended Resources
1. An introduction to statistical learning with applications in R, G.James et al. 2013 (available through canvas)
2. The elements of statistical learning, T. Hastie et al. 2009 2nd Edition (available through canvas)
3. Mining of massive datasets, Leskovec et al. 2014 2nd Edition (available through canvas)

Learning & Teaching Modes

The 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.

Workload

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 Summary

Lecture 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 Summary

25% assignments, 5% presentation and 70% exam.

Assessment Related Requirements

An aggregate mark of at least 50% is required to pass the course.

Assessment Detail

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%

Submission

All assessment will be submitted electronically via canvas.

Course Grading

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.

Student Feedback

The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.

SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
Student Support
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Authorised by:	Deputy Vice-Chancellor and Vice-President (Academic)
Maintained by:	Course Outlines Administrator