Module Identifier | MA27210 | ||

Module Title | REGRESSION AND ANOVA | ||

Academic Year | 2000/2001 | ||

Co-ordinator | Mr D A Jones | ||

Semester | Semester 2 | ||

Other staff | Dr J G Basterfield | ||

Pre-Requisite | MA26010 | ||

Mutually Exclusive | MX37210 | ||

Course delivery | Lecture | 14 x 1 hour lectures | |

Seminars / Tutorials | 2 x 1 hour example classes | ||

Practical | 6 x 2 hour practical classes | ||

Assessment | Exam | 2 Hours (written examination) | 80% |

Course work | | 20% | |

Resit assessment | 2 Hours (written examination) | 100% |

**General 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.

**Learning outcomes**

On completion of this module, a student should be able to:

- explain the theory of statistical regression and, in particular, the general principle of least squares;
- explain the rationale behind, and the underlying theory of, the analysis of variance;
- carry out appropriate analyses and draw conclusions.

**Syllabus**

1. SIMPLE LINEAR REGRESSION: Theory of least squares. Normal equations. Sampling distribution of estimators. Confidence intervals and tests. Prediction. Correlation. Residuals.

2. EXTENSIONS: Transformation to linear relationship. Extension of the basic ideas to regression on two independent variables.

3. THE ANALYSIS OF VARIANCE: One way and two way classification. Interaction. Checking assumptions. Interpretation of analyses. Contrasts.

**Reading Lists**

**Books**
**** Supplementary Text**

F Daly, D J Hand, M C Jones, A D Lunn and K J McConway.
*Elements of Statistics*. Addison Wesley

W Mendenhall, D D Wackerly & R L Scheaffer.
*Mathematical Statistics*. PWS-Kent