Course specification
The current and official versions of the course specifications are available on the web at http://www.usq.edu.au/course/specification/current.
Please consult the web for updates that may occur during the year.

# STA2302 Statistical Inference

 Semester 2, 2012 On-campus Toowoomba Units : 1 Faculty or Section : Faculty of Sciences School or Department : Maths and Computing Version produced : 20 June 2013

## Staffing

Examiner: Shahjahan Khan
Moderator: Christine McDonald

## Requisites

Pre-requisite: STA2301 or Students must be enrolled in the following Program: MSBN

## Rationale

Methods of Statistical Inference are the basis of much decision making. A basic understanding of the concepts and techniques of statistical inference 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. Parametric and non-parametric applications are covered.

## Objectives

Upon successful completion of this course students should be able to:

1. determine point and interval estimators for distributional parameters and discuss the properties and distributions of those estimators;
2. understand the principles of hypothesis testing and power of a test;
3. apply the principles of hypothesis testing to a wide range of situations including parametric and non-parametric testing;
4. solve for and make inferences about the parameters of a linear model.

## 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 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://bookshop.usq.edu.au/bookweb/subject.cgi?year=2012&sem=02&subject1=STA2302)

• Introductory Book 2012, Course STA2302 Statistical Inference, USQ Learning Resources Development and Support, Toowoomba.
(Included in the course CD.)
• Study Book 2012, Course STA2302 Statistical Inference, USQ Learning Resources Development and Support, Toowoomba.
(Included in the course CD.)
• Wackerly, DD, Mendenhall, W & Schaeffer, RL 2008, Mathematical statistics with applications, 7th edn, Duxbury, Boston.

## 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.
• Freund, JE & Walpole, RE 1987, Mathematical statistics, 4th edn, Prentice-Hall, Englewood Cliffs.
• Larsen, RJ & Marx, ML 2005, An introduction to mathematical statistics and its applications, 4th edn, Prentice Hall, Englewood Cliffs.

Activity Hours
Assessments 40.00
Examinations 2.00
Lectures 39.00
Private Study 73.00
Tutorials 13.00

## Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 100 15 24 Aug 2012
ASSIGNMENT 2 100 15 01 Oct 2012
ASSIGNMENT 3 100 15 22 Oct 2012
2 HR RESTRICTED EXAMINATION 100 55 End S2 (see note 1)

NOTES
1. Examination dates will be available during the Semester. Please refer to Examination timetable when published.

## Important assessment information

1. Attendance requirements:
It is the students' responsibility to attend and participate appropriately in all activities (such as lectures, tutorials, laboratories and practical work) scheduled for them, 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:
To complete each of the assignments satisfactorily, students must obtain at least 50% of the marks available for each assignment.

3. Penalties for late submission of required work:
If students submit assignments after the due date without (prior) approval of the examiner then a penalty of 5% of the total marks gained by the student for the assignment may apply for each working day late up to ten working days at which time a mark of zero may be recorded. No assignments will be accepted after model answers have been posted.

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.

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:
Candidates are allowed access only to specific materials during a Restricted 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). 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:
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/portal/custom/search/category/usq_document_policy_type/Student.1.html.