2008/09 Undergraduate Module Catalogue
MATH1815 Modelling in Statistics and Probability
10 creditsClass Size: 200
Module manager: Dr C. Gill
Email: c.a.gill@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2008/09
Pre-requisite qualifications
A-level Mathematics or equivalent.Pre-requisites
| MATH1715 | Introduction to Probability |
Co-requisites
| MATH1715 | Introduction to Probability |
This module is approved as an Elective
Module summary
Probability theory forms the basis of the statistical methodology which is now widely applied in the modern scientific and technological world. This module introduces simple computer simulation techniques to explain and illustrate some of the most basic concepts of probability and statistics, and to apply them in areas such as sampling, time series, quality control and reliability.Objectives
On completion of this module, students should be able to: (a) undertake simple data manipulation using re-expression; (b) carry out Monte Carlo simulation on a variety of topics; (c) apply statistical methods in time series, quality control and reliability; (d) use a statistical computing package and write a report.Syllabus
1. Random numbers, checks on randomness and independence.
2. Monte Carlo simulation, models of chance, applications and examples including genetics, reliability, limit theorems.
3. Random sampling with and without replacement, binomial approximation to hypergeometric distribution.
4. Poisson process, Poisson approximation to binomial distribution, exponential model of inter-arrival times.
5. Quality control, attribute sampling, OC curve, sampling plans, control charts.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 20 | 1.00 | 20.00 |
| Practical | 3 | 1.00 | 3.00 |
| Tutorial | 5 | 1.00 | 5.00 |
| Private study hours | 72.00 | ||
| Total Contact hours | 28.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | . | 20.00 |
| Total percentage (Assessment Coursework) | 20.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr | 80.00 |
| Total percentage (Assessment Exams) | 80.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 12/03/2010
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