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2010/11 Undergraduate Module Catalogue

MATH1815 Modelling in Statistics and Probability

10 creditsClass Size: 90

Module manager: Dr C. Gill
Email: christin@maths.leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2010/11

Pre-requisite qualifications

MATH1715 is a pre-requisite or a co-requisite.

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	22	1.00	22.00
Practical	2	1.00	2.00
Tutorial	5	1.00	5.00
Private study hours			71.00
Total Contact hours			29.00
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 website

Last updated: 01/04/2011

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