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STA2302 Statistical Inference

Semester 2, 2015 On-campus Toowoomba
Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Agric, Comp and Environ Sciences

Contents on this page


Examiner: Christine McDonald
Moderator: Shahjahan Khan


Pre-requisite: STA2301


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.


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.


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.


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). (

Please contact us for alternative purchase options from USQ Bookshop. (

  • 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.
  • 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.

Student workload requirements

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 28 Aug 2015
ASSIGNMENT 2 100 15 02 Oct 2015
ASSIGNMENT 3 100 15 23 Oct 2015
2 HR RESTRICTED EXAMINATION 100 55 End S2 (see note 1)

  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 regularly accessing resources on the StudyDesk, 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:
    Students should refer to the Assessment Procedure (point 4.2.4)

  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