This course is intended to introduce students to generalised linear modelling methods, with emphasis on, but not limited to, common methods for analysing categorical data. Topics covered include a review of multiple linear regression and the analysis of variance, log-linear models for contingency tables, logistic regression for binary response data, Poisson regression, model selection and model checking , mixed effects models. Additional topics may include Bayesian analysis for generalized linear models and generalized mixed effect models.

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

1. Explain in detail the role of generalised linear modelling techniques (GLMs) in modern applied statistics and implement methodology;
2. Demonstrate an in-depth understanding of the underlying assumptions for GLMs and perform diagnostic checks whilst identifying potential problems; and
3. Perform statistical analyses using statistical software, incorporating underlying theory and methodologies.

Research-Led Teaching

My teaching in this course about statistical modelling will draw on the lecturer's extensive experience in applied statistical research and consulting.

Field Trips

Not relevant in this course.

Examination Material or equipment

You will require reliable access to Wattle and a calculator for the duration of the online quizzes and the online exam. You may use R for numerical calculations if you wish.

Required Resources

Class materials, including detailed lecture notes, slides, lecture demonstrations, tutorials, assignments and other relevant materials, will be made available on the class web page on Wattle (which is shared with the co-taught courses, STAT4030 and STAT7030). It is essential that you visit the class Wattle site regularly. Important: you will need to be correctly enrolled in the course before you can access the Wattle site.

The application of modern statistical techniques requires familiarity with some statistical computing package and the larger assignments for this course will require some analysis on a computer. This course makes extensive use of the R computing package, which is freely available to download at http://www.r-project.org. Further instructions on R, including a series of revision workshops, will be made available on the Wattle site for this course. R is also available on all InfoCommons computers on the ANU campus.

Recommended Resources

As there is already a lot of detailed course material already available, and the course lecture notes are designed to be self-contained, there is NO prescribed text for this course. However, I will post on Wattle a list of suggested references for optional supplementary reading.

Staff Feedback

Students will be given feedback in the following forms in this course:

• written comments
• verbal comments (e.g. during live workshops/tutorials, and during online office hours).
• feedback to the whole class, groups, individuals, focus group etc.

Student Feedback

ANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.

Other Information

Enrollment and Prerequisites

This is a course in applied statistics, using numerous examples, rather than a course in mathematical statistics; but it is NOT an introductory first course in either statistical modelling or basic statistics. We assume you have already completed a course such as STAT2008 Regression Modelling as an essential prerequisite AND that you have also

completed the equivalent of an introductory course in basic statistics (such as STAT1003 or STAT1008) that is an essential prerequisite to the STAT2008 course.

The course also uses the R statistical package, which applies matrix algebra to implement the linear modelling techniques. An understanding of matrix algebra (equivalent to an

introductory mathematics course such as MATH1113) would be helpful in understanding how the R routines work, but such knowledge is not a required prerequisite nor an

examinable part of this course.

Scaling

If moderation of marks is required, then marks may be scaled. Your final mark for the course will be based on the raw marks allocated for each of your assessment items. However, your final mark may not be the same number as produced by that formula, if marks are scaled. Any scaling applied will be restricted to your course code (not across different co-taught courses) and will preserve the rank order of raw marks (i.e. if your raw mark exceeds that of another student, then your scaled mark will exceed or be the same as the scaled mark of that student), and may be either up or down.

Communication and Announcements

If the course instructors or anyone in the School, College or University administration, need to contact you, we will do so via your official ANU student email address, which you need to check regularly. Information from the Registrar and Student Services’ office will also be sent to this email address.

You are also expected to check the course Wattle site regularly for announcements about this course, e.g. changes to timetables or notifications of cancellations.

Class Schedule

Week/Session	Summary of Activities	Assessment
1	Revision of statistical computing with R and multiple regression	Weekly tutorials commence
2	Analysis of variance (ANOVA) models. Random effects models.
3	Analysis of covariance (ANCOVA) models	Quiz 1 via Wattle; Assignment 1 to be released
4	Introduction to GLMs. Key GLMs: normal, logistic and Poisson regression models
5	Model specification, link functions and likelihood inference for GLMs	Assignment 1 due
6	Parameter estimation and interpretation	Quiz 2 via Wattle
7	Analysis of deviance and residual diagnostics
8	Variable selection for GLMs
9	Modelling binomial proportions and counts	Quiz 3 via Wattle; Assignment 2 to be released
10	Poisson and gamma GLMs
11	Over and under-dispersion	Assignment 2 due
12	Odds ratios and contingency counts	Quiz 4 via Wattle

Tutorial Registration

Tutorials will be available on campus, live through scheduled Zoom sessions and as pre-recorded videos. Information regarding enrolments for these options will be provided on Wattle during Week 0 of the semester.

Assessment Summary

Assessment task	Value	Due Date	Return of assessment	Learning Outcomes
Wattle Quiz 1	5 %	13/08/2021	20/08/2021	1, 2, 3
Assignment 1 (Linear models)	15 %	27/08/2021	10/09/2021	1, 2, 3
Wattle Quiz 2	5 %	03/09/2021	10/09/2021	1, 2, 3
Wattle Quiz 3	5 %	08/10/2021	15/10/2021	1, 2, 3
Assignment 2 (GLMs)	15 %	22/10/2021	29/10/2021	1, 2, 3
Wattle Quiz 4	5 %	29/10/2021	01/11/2021	1, 2, 3
Final Examination	50 %	04/11/2021	02/12/2021	1, 2, 3

* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details

Policies

ANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:

• Student Assessment (Coursework) Policy and Procedure
• Special Assessment Consideration Policy and General Information 
• Student Surveys and Evaluations
• Deferred Examinations
• Student Complaint Resolution Policy and Procedure

Assessment Requirements

The ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the Academic Integrity . In rare cases where online submission using Turnitin software is not technically possible; or where not using Turnitin software has been justified by the Course Convener and approved by the Associate Dean (Education) on the basis of the teaching model being employed; students shall submit assessment online via ‘Wattle’ outside of Turnitin, or failing that in hard copy, or through a combination of submission methods as approved by the Associate Dean (Education). The submission method is detailed below.

Moderation of Assessment

Marks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.

Participation

Course content delivery will take the form of pre-recorded weekly lectures (available via echo360 on Wattle), pre-recorded weekly workshops (available via echo360 on Wattle) and weekly tutorials, delivered in hybrid format (on campus, live through scheduled Zoom sessions and as pre-recorded videos).

Examination(s)

The exam will be centrally scheduled through Examinations, Graduations & Prizes and will be timetabled prior to the examination period. Please check ANU Timetabling for further information.

Assessment Task 1

Wattle Quiz 1

This assessment will consist of a quiz on Wattle consisting of 10 multiple choice questions to be completed in 1 hour. Each question will have four answers, only one of which will be correct, and there is no penalty for an incorrect answer (other than scoring 0 for that question). The quiz must be done individually and be completed sometime between 12 noon Canberra time on Monday 9 August 2021 and before 3pm Canberra time on Friday 13 August 2021. Further details to follow on the Wattle course page.

Assessment Task 2

Assignment 1 (Linear models)

Assignment 1 (=Assessment 2) will be made available on Wattle before 3pm on Friday 13 August 2021 and will be due before 3pm on Friday 27 August 2021. The assignment may be done individually or in groups of up to 3 students and will involve using R to analyse data from a case study, then editing the R output and preparing a written report on your results. Assignment 1 is worth 15% of the overall assessment. When completed, solutions to Assignment 1 (including the declaration sheet) should be submitted to Wattle in a single pdf file (details of how to do this will be given on Wattle). Options for producing this pdf file are: (i) using a text processing package such as latex to produce a pdf document; or (ii) scanning hand-written solutions into a pdf document; or (iii) photographing hand-written solutions into a pdf document. If you use options (ii) or (iii), please ensure that your handwriting is legible. Assignments will be graded and marks will be returned via Wattle.

Assessment Task 3

Wattle Quiz 2

This assessment will consist of a Wattle quiz with the same structure as that of Assignment 1 (=Quiz 1). The quiz must be done individually and be completed sometime between 12 noon Canberra time on Monday 30 August 2021 and before 3pm Canberra time on Friday 3 September 2021. Further details to follow on the Wattle course page.

Assessment Task 4

Wattle Quiz 3

This assessment will consist of a Wattle quiz with the same structure as that of Assessment 1 (=Quiz1). The quiz must be done individually and be completed sometime between 12 noon Canberra time on Monday 4 October 2021 and before 3pm Canberra time on Friday 8 October 2021. Further details to follow on the Wattle course page.

Assessment Task 5

Assignment 2 (GLMs)

Assignment 2 (=Assessment 5) will be handed out not later than 3pm Canberra time on Friday 8 October 2021 will be due in no later than 3pm Canberra time on Friday 22 October 2021 . Details are otherwise the same as for Assignment 1 (=Assessment 2).

Assessment Task 6

Wattle Quiz 4

This assessment will consist of a Wattle quiz with the same structure as that of Assessment 1 (=Quiz1). The quiz must be done individually and be completed sometime between 12 noon Canberra time on Monday 25 October 2021 and before 3pm Canberra time on Friday 29 October 2021. Further details to follow on the Wattle course page.

Assessment Task 7

Final Examination

The final examination will be a Wattle-based online exam during the university examination period at the end of the semester. The exam will be 2 hours long (plus 15 minutes reading time plus 15 minutes online submission time) and will cover the entire syllabus. It will be open book and all materials are permitted. The exam will be centrally timetabled and details of the final examination timetable will be made available on the ANU Timetabling website.

Academic Integrity

Academic integrity is a core part of the ANU culture as a community of scholars. At its heart, academic integrity is about behaving ethically, committing to honest and responsible scholarly practice and upholding these values with respect and fairness.

The ANU commits to assisting all members of our community to understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. The ANU expects staff and students to be familiar with the academic integrity principle and Academic Misconduct Rule, uphold high standards of academic integrity and act ethically and honestly, to ensure the quality and value of the qualification that you will graduate with.

The Academic Misconduct Rule is in place to promote academic integrity and manage academic misconduct. Very minor breaches of the academic integrity principle may result in a reduction of marks of up to 10% of the total marks available for the assessment. The ANU offers a number of online and in person services to assist students with their assignments, examinations, and other learning activities. Visit the Academic Skills website for more information about academic integrity, your responsibilities and for assistance with your assignments, writing skills and study.

Online Submission

You are encouraged to submit assignments online through Turnitin, which will require you to electronically sign a declaration as part of the submission of your assignment. Assignments may be submitted by just one member of the group, but must include a completed cover sheet clearly identifying all members of the group. Please keep a copy of the assignment for your records.

Hardcopy Submission

Online submission only.

Late Submission

No submission of assessment tasks without an extension after the due date will be permitted.

If an assessment task is not submitted by the due date, a mark of 0 will be awarded.

Referencing Requirements

Accepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.

Returning Assignments

Assignments will be marked to a commonly agreed marking schedule by your tutor and returned to you online or in tutorials.

Assignment solutions will be discussed in the tutorials in the first teaching week following the due date.

Extensions and Penalties

Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure. Extensions may be granted for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.

Resubmission of Assignments

There will be no resubmission of assignments.

Privacy Notice

The ANU has made a number of third party, online, databases available for students to use. Use of each online database is conditional on student end users first agreeing to the database licensor’s terms of service and/or privacy policy. Students should read these carefully. In some cases student end users will be required to register an account with the database licensor and submit personal information, including their: first name; last name; ANU email address; and other information.
In cases where student end users are asked to submit ‘content’ to a database, such as an assignment or short answers, the database licensor may only use the student’s ‘content’ in accordance with the terms of service – including any (copyright) licence the student grants to the database licensor. Any personal information or content a student submits may be stored by the licensor, potentially offshore, and will be used to process the database service in accordance with the licensors terms of service and/or privacy policy.
If any student chooses not to agree to the database licensor’s terms of service or privacy policy, the student will not be able to access and use the database. In these circumstances students should contact their lecturer to enquire about alternative arrangements that are available.

Distribution of grades policy

Academic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes.

Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.

Support for students

The University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).

• ANU Health, safety & wellbeing for medical services, counselling, mental health and spiritual support
• ANU Diversity and inclusion for students with a disability or ongoing or chronic illness
• ANU Dean of Students for confidential, impartial advice and help to resolve problems between students and the academic or administrative areas of the University
• ANU Academic Skills and Learning Centre supports you make your own decisions about how you learn and manage your workload.
• ANU Counselling Centre promotes, supports and enhances mental health and wellbeing within the University student community.
• ANUSA supports and represents undergraduate and ANU College students
• PARSA supports and represents postgraduate and research students