Module Information
Module Identifier
MA27210
Module Title
REGRESSION AND ANOVA
Academic Year
2011/2012
Co-ordinator
Semester
Semester 2
Mutually Exclusive
Pre-Requisite
Course Delivery
| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 14 Hours. (14 x 1 hour lectures) |
| Seminars / Tutorials | 2 Hours. (2 x 1 hour example classes) |
| Practical | 12 Hours. (6 x 2 hour practical classes) |
Assessment
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Assessment | coursework | 30% |
| Semester Exam | 2 Hours (written examination) | 70% |
| Supplementary Assessment | 2 Hours (written examination) | 100% |
Learning Outcomes
On completion of this module, a student should be able to:
1. explain the rationale behind, and the underlying theory of, the analysis of variance;
2. explain the issues that arise in extending regression from one predictor variable to two;
3. carry out appropriate analyses and draw conclusions.
Brief description
This module covers the theory of some of the most commonly used statistical techniques - regression and the analysis of variance. It also includes practical application of these important techniques.
Aims
This module will provide a thorough grounding in the basic theory associated with some important statistical models.
Content
1. Regression: The regression model, Ordinary least squares and the Normal equations. Detailed analysis of the two regressor model. Residuals and the residual sum of squares. Sequential sum of squares. Standardised residuals. Decomposition of the sum of squares.
2. One way classification: the one way ANOVA model. Decomposition of the sum of squares. The ANOVA table and expected mean squares. Distribution of mean squares. The F-test. Multiple comparisons. Contrast. The treatment effects model.
3. Two way classifications. Decomposition of the sum of squares. Interaction. F-tests.
4. Extensions: random effect models, randomised blocks, higher way classifications, inbalanced designs.
2. One way classification: the one way ANOVA model. Decomposition of the sum of squares. The ANOVA table and expected mean squares. Distribution of mean squares. The F-test. Multiple comparisons. Contrast. The treatment effects model.
3. Two way classifications. Decomposition of the sum of squares. Interaction. F-tests.
4. Extensions: random effect models, randomised blocks, higher way classifications, inbalanced designs.
Reading List
Supplementary TextD D Wackerley, W Mendenhall & R L Scheaffer (2002) Mathematical Statistics with Applications 6th Duxbury. Primo search F Daly, D J Hand, M C Jones, A D Lunn and K J McConway (1995) Elements of Statistics Addison Wesley Primo search
Notes
This module is at CQFW Level 5