| Semester 2, 2021 Online | |
| Short Description: | Statistical Inference |
| Units : | 1 |
| Faculty or Section : | Faculty of Health, Engineering and Sciences |
| School or Department : | School of Sciences |
| Student contribution band : | Band 1 |
| ASCED code : | 010103 - Statistics |
| Grading basis : | Graded |
Staffing
Examiner:
Requisites
Pre-requisite: STA2301
Rationale
Methods of Statistical Inference, where conclusions are drawn from data that are subject to random variation, form the basis of substantial decision making within and beyond the field of statistics. This course builds on the fundamentals of statistical principles and probability distributions which were first introduced in the Distribution Theory course. It covers the basic logic and underlying philosophy of inference and extends to estimation of parameters and hypothesis testing procedures. An understanding of the concepts and techniques of this course is highly desirable for a practitioner of statistics.
Synopsis
This course provides the students with a firm grounding in the theory and methods of statistical inference and builds on the material covered in STA2301 Distribution Theory. Students will use a number of statistical procedures useful for both parametric and nonparametric inferences and learn different applications for both. Within this course students shall derive statistical procedures from first principles. Furthermore, both point and interval estimation as well as test of hypotheses under the classical framework are covered. The theoretical developments which are established in this course are supported by practical applications.
Objectives
Upon successful completion of this course students should be able to:
- Identify the principles, processes and methods of statistical inference.
- Evaluate inferential problems for various statistical models.
- Apply appropriate statistical models and methods for real life data analysis.
- Communicate statistical inferences using appropriate terminology for expert and non-expert audiences.
Topics
| Description | Weighting(%) | |
|---|---|---|
| 1. | Sampling Distributions (chi-squared, t- and F- distributions); Central Limit Theorem | 10.00 |
| 2. | Estimation: properties of estimators, methods of maximum likelihood and moments, interval estimation, sample size determination | 20.00 |
| 3. | Hypothesis Testing: concepts, Type I and II errors, normal-based tests of proportions, means and variances, large and small samples, one and two samples, Neyman-Pearson Lemma, likelihood ratio tests, power of a test. | 20.00 |
| 4. | One-way analysis of variance: Concept, F-test, Kruskal-Wallis test | 10.00 |
| 5. | Regression: the linear model, matrix approach to ordinary least squares, inference in the linear model | 20.00 |
| 6. | Distribution-Free tests: concepts, one and two sample tests of location, goodness-of-fit tests | 20.00 |
Text and Materials
ALL textbooks and materials available to be purchased can be sourced from (unless otherwise stated). (https://omnia.usq.edu.au/textbooks/?year=2021&sem=02&subject1=STA2302)
Please for alternative purchase options from USQ Bookshop. (https://omnia.usq.edu.au/info/contact/)
Reference Materials
Student Workload Expectations
| Activity | Hours |
|---|---|
| Assessments | 42.00 |
| Online Lectures | 26.00 |
| Online Tutorials | 26.00 |
| Private Study | 78.00 |
Assessment Details
| Description | Marks out of | Wtg (%) | Due Date | Notes |
|---|---|---|---|---|
| ASSIGNMENT 1 | 100 | 15 | 19 Aug 2021 | |
| ASSIGNMENT 2 | 100 | 15 | 16 Sep 2021 | |
| ASSIGNMENT 3 | 100 | 15 | 07 Oct 2021 | |
| PROBLEM SET | 100 | 55 | 18 Oct 2021 | (see note 1) |
Notes
- This assessment will include a written submission and an online viva voce via zoom. Full details will be available on the course Study Desk.
Important assessment information
-
Attendance requirements:
It is the students' responsibility to participate appropriately in all activities and to study all material provided to them or required to be accessed by them to maximise their chance of meeting the objectives of the course and to be informed of course-related activities and administration. -
Requirements for students to complete each assessment item satisfactorily:
To complete each of the assessment items satisfactorily, students must obtain at least 50% of the marks available for each assessment item. -
Penalties for late submission of required work:
Students should refer to the Assessment Procedure (point 4.2.4) -
Requirements for student to be awarded a passing grade in the course:
To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course. -
Method used to combine assessment results to attain final grade:
The final grades for students will be assigned on the basis of the aggregate of the weighted marks obtained for each of the summative assessment components (the examination and assignments) in the course. -
Examination information:
There is no examination for this course. -
Examination period when Deferred/Supplementary examinations will be held:
Deferred and Supplementary examinations will be held in accordance with the Assessment Procedure . -
University Student Policies:
Students should read the USQ policies: Definitions, Assessment and Student Academic Misconduct to avoid actions which might contravene University policies and practices. These policies can be found at .
Other Requirements
-
Computer, e-mail and Internet access:
Students are required to have access to a personal computer, e-mail capabilities and Internet access to UConnect. Current details of computer requirements can be found at . -
Students can expect that questions in assessment items in this course may draw upon knowledge and skills that they can reasonably be expected to have acquired before enrolling in this course. This includes knowledge contained in pre-requisite courses and appropriate communication, information literacy, analytical, critical thinking, problem solving or numeracy skills. Students who do not possess such knowledge and skills should not expect the same grades as those students who do possess them.