Module Identifier MX36510
Module Title STATISTICAL METHODS
Co-ordinator Dr John A Lane
Semester Semester 1
Pre-Requisite MA11310
Mutually Exclusive MA26510
Course delivery Lecture   11 x 1 hour lectures
Practical   11 x 2 hour practical classes
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam3 Hours (practical examination)  60%
Semester Assessment Course Work:  40%
Supplementary Assessment3 Hours (practical examination)  100%

#### Learning outcomes

On completion of this module, a student should be able to:
• summarise effectively a set of data;
• identify the statistical techniques appropriate to analysing a given situation;
• carry out standard statistical procedures for one and two samples;
• state and check the assumptions required by their analyses;
• draw conclusions from an analysis of data and write reports concerning these conclusions.

#### Brief description

There is an increasing demand in the workplace for personnel skilled in the analysis and interpretation of data. This module covers the basic skills of a practising statistician and includes also the preparation of reports.

#### Aims

This module will give students a thorough grounding in methods used by a practising statistician.

#### Content

1. DESCRIPTIVE STATISTICS: Interpretation of data presented in numerical and graphical forms. Report writing.
2. BASIC IDEAS:Estimates and standard errors of means, proportions, sums and differences. Fitting straight lines, correlation.
3. CONFIDENCE STATEMENTS: Construction and interpretation of confidence intervals for means, rates and proportions. Confidence limits for the difference between parameters.
4. HYPOTHESIS TESTING: Hypothesis tests; interpretation of p-values; Binomial, Poisson and Normal cases. Paired and unpaired two sample t-tests.
5. NONPARAMETRIC METHODS: Distribution-free tests for paired and unpaired data.
6. STATISTICAL PROCESS CONTROL: Basic ideas; control charts; process capability.
7. LINEAR REGRESSION: Interval estimation and tests for slope, intercept and fitted line. Prediction.