# Module Information

Module Identifier
MA26510
Module Title
Statistical Methods
2015/2016
Co-ordinator
Semester
Semester 1
Mutually Exclusive
Pre-Requisite
External Examiners
• Dr Theodore Kypraios (Associate Professor - University of Nottingham)

Other Staff

#### Course Delivery

Delivery Type Delivery length / details
Lecture 11 x 1 Hour Lectures
Practical 11 x 2 Hour Practicals

#### Assessment

Assessment Type Assessment length / details Proportion
Semester Assessment Coursework  40%
Semester Exam 3 Hours   Open-book examination  60%
Supplementary Exam 3 Hours   (practical examination)  100%

### Learning Outcomes

On completion of this module, a student should be able to:
1. summarise effectively a set of data;
2. identify the statistical techniques appropriate to analysing a given situation;
3. carry out standard statistical procedures for one and two samples;
4. state and check the assumptions required by their analyses;
5. 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 the methods used by a practising statistician.

### Content

1. DESCRIPTIVE STATISTICS: Interpretation of data presented in numerical and graphical forms. Correlation and fitting straight lines. Report writing.
2. DISTRIBUTIONS: Binomial, Poisson, Normal etc. Parameter estimation including maximum likelihood. Graphical assessment of goodness of fit; Q-Q plots.
3. BASIC IDEAS: Estimates and standard errors of means, proportions, sums and differences. Fitting straight lines, correlation.
4. CONFIDENCE STATEMENTS: Construction and interpretation of confidence intervals for means, rates and proportions. Bootstrap confidence intervals. Confidence limits for the difference between parameters.
5. HYPOTHESIS TESTING: Hypothesis tests; interpretation of p-values. Paired and unpaired two sample t-tests. Bootstrap p-values.
6. GOODNESS-OF-FIT: Chi-squared test.

### Notes

This module is at CQFW Level 5