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Please consult the web for updates that may occur during the year.

# STA2302 Statistical Inference

 Semester 2, 2020 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 2 ASCED code : 010103 - Statistics Grading basis : Graded

## Staffing

Examiner: Shahjahan Khan

## 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:

1. Identify the principles, processes and methods of statistical inference.
2. Evaluate inferential problems for various statistical models.
3. Apply appropriate statistical models and methods for real life data analysis.
4. Communicate statistical inferences using appropriate terminology for expert and non-expert audiences.

## Topics

Description Weighting(%)
1. Sampling Distributions: chi-squared, t- and F- distributions 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 required to be purchased or accessed

ALL textbooks and materials available to be purchased can be sourced from USQ's Online Bookshop (unless otherwise stated). (https://omnia.usq.edu.au/textbooks/?year=2020&sem=02&subject1=STA2302)

Wackerly, DD, Mendenhall, W & Schaeffer, RL 2008, Mathematical statistics with applications, 7th edn, Duxbury, Boston.
All additional study material will be provided on the course StudyDesk.

## Reference materials

Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.
Berry, DA & Lindgren, BW 1996, Statistics: theory and methods, 2nd edn, Duxbury, Belmont.
Larsen, RJ & Marx, ML 2017, An introduction to mathematical statistics and its applications, 6th edn, Prentice Hall, Englewood Cliffs.
Miller, I & Miller, M 2014, John E. Freund's Mathematical statistics with applications, 8th edn, Pearson, Boston.

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 20 Aug 2020 (see note 1)
ASSIGNMENT 2 100 15 17 Sep 2020 (see note 2)
ASSIGNMENT 3 100 15 09 Oct 2020 (see note 3)
TAKE HOME EXAMINATION 100 55 End S2 (see note 4)

Notes
1. This will be an open examination. Students will be provided further instruction regarding the exam by their course examiner via StudyDesk. The examination date will be available via UConnect when the official Alternate Assessment Schedule has been released.

## Important assessment information

1. 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.

2. Requirements for students to complete each assessment item satisfactorily:
Due to COVID-19 the requirements for S2 2020 are:
To satisfactorily complete an individual assessment item a student must achieve at least 50% of the marks for that item.

Requirements after S2 2020:
To complete each of the assessment items satisfactorily, students must obtain at least 50% of the marks available for each assessment item.

3. Penalties for late submission of required work:
Students should refer to the Assessment Procedure http://policy.usq.edu.au/documents.php?id=14749PL (point 4.2.4)

4. Requirements for student to be awarded a passing grade in the course:
Due to COVID-19 the requirements for S2 2020 are:
To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course.

Requirements after S2 2020:
To be assured of receiving a passing grade a student must obtain at least 50% of the total weighted marks available for the course (i.e. the Primary Hurdle), and have satisfied the Secondary Hurdle (Supervised), i.e. the end of semester examination by achieving at least 40% of the weighted marks available for that assessment item.

Supplementary assessment may be offered where a student has undertaken all of the required summative assessment items and has passed the Primary Hurdle but failed to satisfy the Secondary Hurdle (Supervised), or has satisfied the Secondary Hurdle (Supervised) but failed to achieve a passing Final Grade by 5% or less of the total weighted Marks.

To be awarded a passing grade for a supplementary assessment item (if applicable), a student must achieve at least 50% of the available marks for the supplementary assessment item as per the Assessment Procedure http://policy.usq.edu.au/documents/14749PL (point 4.4.2).

5. 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.

6. Examination information:
Due to COVID-19 the requirements for S2 2020 are:
An Open Examination is one in which candidates may have access to any printed or written material and a calculator during the examination.

Requirements after S2 2020:
In a Restricted Examination candidates are allowed access to specific materials during the examination. The only materials that candidates may use in the restricted examination for this course are: writing materials (non-electronic and free from material which could give the student an unfair advantage in the examination); calculators which cannot hold textual information (students must indicate on their examination paper the make and model of any calculator(s) they use during the examination); Formula sheets and/or Statistical Tables as provided by the Examiner with the examination paper. Students whose first language is not English, may, take an appropriate unmarked nonelectronic translation dictionary (but not technical dictionary) into the examination. Dictionaries with any handwritten notes will not be permitted. Translation dictionaries will be subject to perusal and may be removed from the candidate's possession until appropriate disciplinary action is completed if found to contain material that could give the candidate an unfair advantage.

7. Examination period when Deferred/Supplementary examinations will be held:
Due to COVID-19 the requirements for S2 2020 are:
The details regarding deferred/supplementary examinations will be communicated at a later date.

Requirements after S2 2020:
Any Deferred or Supplementary examinations for this course will be held during the next examination period.

8. 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 http://policy.usq.edu.au.

## Other requirements

1. 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 http://www.usq.edu.au/current-students/support/computing/hardware.

2. 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.

Date printed 6 November 2020