A first course in mathematical statistics with emphasis on applications; probability, random variables, moment generating functions and correlation, sampling distributions, estimation of parameters by the methods of moments and maximum likelihood, hypothesis testing, the central limit theorem, and Bayesian statistics.

Learning Outcomes

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

1. Calculate probabilities using set theory and combinatorics;
2. Use and describe discrete, continuous and multivariate random variables and their probability distributions in simple and complex cases;
3. Define sampling distributions and use the central limit theorem;
4. Explain in detail and use the method of moments and maximum likelihood estimation;
5. Perform confidence estimation and hypothesis testing in a variety of contexts; and
6. Use and describe in detail the fundamental concepts of Bayesian statistics and Bayesian estimators.

Research-Led Teaching

The material covered in this course covers established principles in statistical modelling. If time permits, the lecturers may illustrate selected topics by discussing relevant examples from their research area. New material in these examples will not be assessable.

Additional Course Costs

Students will need a non-programmable scientific calculator.

Examination Material or equipment

Non-programmable scientific calculator.

Required Resources

Lecture notes/slides and other course materials will be updated weekly with the progress of this course on Wattle.

Recommended Resources

Wackerly, D.D., Mendenhall III, W., and Scheaffer, R.L. (2008). Mathematical Statistics with Applications, Seventh Edition. Duxbury, Thomson, Brooks/Cole.

Owen, W.J. (2008). Student Solutions Manual for Wackerly, Mendenhall, and Scheaffer’s Mathematical Statistics with Applications , Seventh Edition. Duxbury, Thomson, Brooks/Cole.

The ANU Library has been requested to order the e-book.

Staff Feedback

Students will be given feedback (through both verbal and written comments) in the following forms in this course:

• To the whole class during lectures.

• Within tutorials.

• Individually during consultation hours.

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). Feedback can also be provided to Course Conveners and teachers via the Student Experience of Learning & Teaching (SELT) feedback program. SELT surveys are confidential and also provide the Colleges and ANU Executive with opportunities to recognise excellent teaching, and opportunities for improvement.

Other Information

Support for Students

The University offers a number of support services for students. Information on these is available online from http://students.anu.edu.au/studentlife/

Communication via Email

If I, 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. If you have any questions for the teaching and course convenor make sure you email them using your ANU email address. Emails from personal email accounts will not be answered.

Announcements

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

Scaling

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, as marks may be scaled. Any scaling applied 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 the scaled mark of that student), and may be either up or down.

Referencing Requirements

In assignments and exams, students must appropriately reference any results, words or ideas that they take from another source which is not their own. A guide can be found at https://academicskills.anu.edu.au/resources/handouts/referencing-basics.

Class Schedule

Week/Session	Summary of Activities	Assessment
1	Chapter 1: What is Statistics? AND Chapter 2: Probability
2	Chapter 2: Probability
3	Chapter 2: Probability
4	Chapter 3: Discrete Random Variables and Their Probability Distributions
5	Chapter 4: Continuous Random Variables and Their Probability Distributions
6	Chapter 5: Multivariate Probability Distributions	Wattle Quiz
7	Chapter 6: Functions of Random Variables	Release of Assignment 1 via Wattle
8	Chapter 7: Sampling Distributions and the Central Limit Theorem
9	Chapter 8: Estimation	Submission of Assignment 1 via Wattle; Release of Assignment 2 via Wattle
10	Chapter 9: Bayesian Inference
11	Chapter 10: Hypothesis Testing	Submission of Assignment 2 via Wattle
12	Chapter 10: Hypothesis Testing; Course Review	There will be a final exam during the university examination period. More information and instructions regarding the exam will beprovided no later than week 10 on Wattle.

Tutorial Registration

Tutorial registration will be available two weeks prior to the beginning of the semester and will close at the end of week 1. More details can be found on the Timetable webpage. https://www.anu.edu.au/students/program-administration/timetabling.

Assessment Summary

Assessment task	Value	Due Date	Return of assessment	Learning Outcomes
Quiz	5 %	30/08/2023	30/08/2023	1,2
Assignment 1	15 %	04/10/2023	13/10/2023	1,2
Assignment 2	15 %	18/10/2023	27/10/2023	1,2,3,4
Final Exam	65 %	02/11/2023	30/11/2023	1,2,3,4,5,6

* 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 Integrity Rule before the commencement of their course. Other key policies and guidelines include:

• Academic Integrity Policy and Procedure
• Student Assessment (Coursework) Policy and Procedure
• Extenuating Circumstances Application
• Student Surveys and Evaluations
• Deferred Examinations
• Student Complaint Resolution Policy and Procedure
• Code of practice for teaching and learning

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 Skills website. 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 weekly on-campus lectures (recorded and available via echo360 on Wattle) and weekly tutorials, all delivered on campus. Weekly consultations with the lecturer and the tutor(s) will be conducted over Zoom.

Examination(s)

Centrally scheduled examinations through Examinations, Graduations & Prizes will be timetabled prior to the examination period. Please check ANU Timetabling for further information.

Assessment Task 1

Quiz

The students are expected to complete this quiz individually. The quiz will be designed to cover materials from Week 1 to Week 5. The quiz will be available on Wattle in Week 6. Once commenced, students will have 1 hour to complete and submit the quiz. Students need to make sure they start their quiz attempt at least 60 minutes before the due time (Wednesday 30 August 2:00 pm, Canberra Time). The notification about access to the quiz will be announced in Week 5 during lectures and on Wattle. Under no circumstances will the students be able to attempt the quiz outside of the allocated time period. There will be a mix of multiple-choice and numerical calculation questions.

Assessment Task 2

Assignment 1

The students are expected to complete this assignment individually. This assignment is designed to cover materials from Week 1 to 7. It is worth 15% of the final raw score. The assignment and further details will be made available by Week 7. It will be due on Wednesday in Week 9, 3:00 pm, Canberra Time. There will be a mix of numerical calculation questions and theoretical proofs.

Assessment Task 3

Assignment 2

The students are expected to complete this assignment individually. This assignment is designed to cover materials from Week 1 to 9. It is worth 15% of the final raw score. The assignment and further details will be made available by Week 9. It will be due on Wednesday in Week 11, 3:00 pm, Canberra Time. There will be a mix of numerical calculation questions and theoretical proofs.

Assessment Task 4

Final Exam

The final examination is worth 65% of the final raw score and will be centrally invigilated and held on campus in person. Examination materials and conditions will be notified to all students via Wattle no later than Week 10 of the semester. 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. The University’s students are an integral part of that community. The academic integrity principle commits all students to engage in academic work in ways that are consistent with, and actively support, academic integrity, and to uphold this commitment by behaving honestly, responsibly and ethically, and with respect and fairness, in scholarly practice.

The University expects all staff and students to be familiar with the academic integrity principle, the Academic Integrity Rule 2021, the Policy: Student Academic Integrity and Procedure: Student Academic Integrity, and to uphold high standards of academic integrity to ensure the quality and value of our qualifications.

The Academic Integrity Rule 2021 is a legal document that the University uses to promote academic integrity, and manage breaches of the academic integrity principle. The Policy and Procedure support the Rule by outlining overarching principles, responsibilities and processes. The Academic Integrity Rule 2021 commences on 1 December 2021 and applies to courses commencing on or after that date, as well as to research conduct occurring on or after that date. Prior to this, the Academic Misconduct Rule 2015 applies.

 

The University commits to assisting all students to understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. All coursework students must complete the online Academic Integrity Module (Epigeum), and Higher Degree Research (HDR) students are required to complete research integrity training. The Academic Integrity website provides information about services available to assist students with their assignments, examinations and other learning activities, as well as understanding and upholding academic integrity.

Online Submission

You will be required to electronically sign a declaration as part of the submission of your assignment. Please keep a copy of the assignment for your records. Unless an exemption has been approved by the Associate Dean (Education) submission must be through Turnitin.

Hardcopy Submission

There is no hardcopy submission in the course.

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

The Academic Skills website has information to assist you with your writing and assessments. The website includes information about Academic Integrity including referencing requirements for different disciplines. There is also information on Plagiarism and different ways to use source material.

Returning Assignments

The marked assignments will be returned online.

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

It will not be possible for assignments to be resubmitted.

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 Access 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 all ANU students