| Subject | Cat-nbr | Class | Term | Mode | Description | Units | Campus |
| STA | 8302 | 54279 | 2, 2006 | ONC | Advanced Statistical Methods | 1.00 | Toowoomba |
|---|
| Academic group: | FOSCI |
| Academic org: | FOS003 |
| Student contribution band: | 2 |
| ASCED code: | 010103 |
Statisticians need to be proficient in a wide range of statistical techniques. Many of these are either only touched on or omitted from undergraduate programs. An opportunity to broaden the students' knowledge-base with more advanced statistical techniques is provided in this course.
This course is normally offered only in even years. This course contains advanced statistical methods selected from topics including but not restricted to: statistical inference, generalised linear models, multivariate analysis, order statistics, computational methods, statistical quality control, and reliability analysis.
On completion of this course, students should be able to:
| Description | Weighting (%) | |
|---|---|---|
| 1. | Students should study one of the following topics, or (with the approval of the examiner) a combination of topics: 1.1. Inferential Statistis: Parametic Estimation: methods of estimation; properties of estimators - unbiasedness, consistency, efficiency, oss/risk functions; sufficiency, complete sufficiency, exponential family, uniformly minimum variance unbiased estimator; interval estimation; Bayesian estimation - point and interval. Two tests of Hypothesis: power function, most powerful test, generalised likelihood ratio test, uniformly most powerful test, minimas test, Bayes test. 1.2. Multivariate Analysis: Multivariate Distribution (multivariate normal, Hotelling's T-Square, Student-t, Wishart), estimation of mean vector and covariance matrix, sampling distribution of sample mean vector and covariance matrix, tests about mean and covariance in one and two sample cases. 1.3. Order Statistics and Computational Methods: Distribution of order statistics (o.s.) and functions of o.s., asymptotic distributions, sample cumulative distribution function, tolerance limits, bootstrapping, jackknifing, randomization technique. 1.4. Quality Control & Reliability: sequential analysis, acceptance sampling, process control, Taguchi method; 2 survival analysis, censored & truncated data, extreme - value distribution. 1.5. Generalized Linear models: review of regression and regression diagnostics; exponential dispersion models; link functions; variance functions; residuals; diagnostics; specific types of generalised linear models; quasi-likelihood; extended quasi-likelihood; dispersion models; the saddlepoint approximation; some advanced topics. 1.6. Bayesian Analysis. 1.7. Sample survey design and analysis. |
100.00 |
ALL textbooks and materials are available for purchase from USQ BOOKSHOP (unless otherwise stated). Orders may be placed via secure internet, free fax 1800642453, phone 07 46312742 (within Australia), or mail. Overseas students should fax +61 7 46311743, or phone +61 7 46312742. For costs, further details, and internet ordering, use the 'Textbook Search' facility at http://bookshop.usq.edu.au click 'Semester', then enter your 'Course Code' (no spaces).
To be advised.
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.
To be advised.
| ACTIVITY | HOURS |
| Assessment | 50.00 |
| Consultation | 7.00 |
| Directed Study | 110.00 |
| Description | Marks out of | Wtg(%) | Due date | ||
|---|---|---|---|---|---|
| ASSIGNMENT 1 | 20.00 | 10.00 | 25 Jul 2006 | (see note 1) | |
| ASSIGNMENT 2 | 20.00 | 10.00 | 25 Jul 2006 | ||
| ASSIGNMENT 3 | 20.00 | 15.00 | 25 Jul 2006 | ||
| ASSIGNMENT 4 | 20.00 | 15.00 | 25 Jul 2006 | ||
| ASSIGNMENT 5 | 20.00 | 15.00 | 25 Jul 2006 | ||
| ASSIGNMENT 6 | 20.00 | 15.00 | 25 Jul 2006 | ||
| PROJECT | 100.00 | 20.00 | 25 Jul 2006 | (see note 2) | |
| 9. | Students must retain a copy of each item submitted for assessment. If requested, students will be required to provide a copy of assignments submitted for assessment purposes. |