Introductory description
This module runs in Term 2 and will introduce students to probabilistic models and statistical methods used in the analysis of genetic data.
Students will be given selected advanced research material for independent study and examination.
This module is available for students on a course where it is a listed option and as an Unusual Option to students who have completed the prerequisite modules.
Prerequisites:
Statistics Students: ST218 Mathematical Statistics A AND ST219 Mathematical Statistics B
NonStatistics Students: ST220 Introduction to Mathematical Statistics
Module web page
Module aims
Students will gain a basic understanding of the probabilistic models underlying the field of population genetics, and be exposed to practical applications of common statistical tests.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
Discretetime reproductive models  WrightFisher, Moran. Coalescent limit. Properties of the standard coalescent, models of mutation, summary statistics and tests for neutrality, e.g. Tajima's D. HardyWeinberg laws, recombination, linkage mapping, linkage disequilibrium, association testing, an overview of genomewide association studies. Diffusion models of evolution.
Learning outcomes
By the end of the module, students should be able to:
 Discuss the practical issues involved in scaling up association testing to whole genomes.
 Describe simple discretetime reproductive models and use them to derive the standard coalescent model
 Apply the predictions of coalescent theory to test for departures from neutrality, using simple datasets of DNA sequence variation
 Use simple datasets to evaluate the evidence for associations between genetic loci and Mendelian diseases
Indicative reading list
View reading list on Talis Aspire
Subject specific skills
Formulation of models for population genetic data, modelbased predictions of genetic diversity, parameter estimation and hypothesis testing from DNA sequence data, genomewide association studies, basic diffusion theory
Transferable skills
Inference from data, assessment of uncertainty, evaluation of evidence, academic writing, computation, independent study of advanced material
Study time
Type 
Required 
Optional 
Lectures 
30 sessions of 1 hour (25%)

2 sessions of 1 hour

Private study 
90 hours (75%)


Total 
120 hours 

Private study description
Study of advanced topic, weekly revision of lecture notes and materials, wider reading, practice exercises and preparing for examination.
Costs
No further costs have been identified for this module.
You do not need to pass all assessment components to pass the module.
Assessment group D3

Weighting 
Study time 
Assignment 1

10%

15 hours

Due in Term 2 Week 7. The assignment will contain a number of questions for which solutions and / or written responses will be required. The number of words noted refers to the amount of time in hours that a wellprepared student who has attended lectures and carried out an appropriate amount of independent study on the material could expect to spend on this assignment. 500 words is equivalent to one page of text, diagrams, formula or equations; your ST418 Assignment 1 should not exceed 15 pages in length.

Assignment 2

10%

15 hours

Due in Term 2 Week 10. The assignment will contain a number of questions for which solutions and / or written responses will be required. The number of words noted refers to the amount of time in hours that a wellprepared student who has attended lectures and carried out an appropriate amount of independent study on the material could expect to spend on this assignment. 500 words is equivalent to one page of text, diagrams, formula or equations; your ST418 Assignment 2 should not exceed 15 pages in length.

Inperson Examination

80%


The examination will contain one compulsory question on the advanced topic and four additional questions of which the best marks of TWO questions will be used to calculate your grade.
 Answerbook Pink (12 page)
 Students may use a calculator

Assessment group R1

Weighting 
Study time 
Inperson Examination  Resit

100%


The examination will contain one compulsory question on the advanced topic and four additional questions of which the best marks of TWO questions will be used to calculate your grade.
~Platforms  Moodle
 Answerbook Pink (12 page)
 Students may use a calculator

Feedback on assessment
Marked assignments will be available for viewing at the support office within 20 working days of the submission deadline. Cohort level feedback and solutions will be provided, and students will be given the opportunity to receive feedback via facetoface meetings.
Solutions and cohort level feedback will be provided for the examination.
Past exam papers for ST418
Courses
This module is Optional for:

TMAAG1PE Master of Advanced Study in Mathematical Sciences

Year 1 of
G1PE Master of Advanced Study in Mathematical Sciences

Year 1 of
G1PE Master of Advanced Study in Mathematical Sciences

Year 1 of
TMAAG1P9 Postgraduate Taught Interdisciplinary Mathematics

Year 1 of
TMAAG1PD Postgraduate Taught Interdisciplinary Mathematics (Diploma plus MSc)

Year 1 of
TMAAG1P0 Postgraduate Taught Mathematics

Year 1 of
TMAAG1PC Postgraduate Taught Mathematics (Diploma plus MSc)

TMAAG1PF Postgraduate Taught Mathematics of Systems

Year 1 of
G1PF Mathematics of Systems

Year 1 of
G1PF Mathematics of Systems

Year 1 of
TSTAG4P1 Postgraduate Taught Statistics

USTAG300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics

Year 3 of
G300 Mathematics, Operational Research, Statistics and Economics

Year 4 of
G300 Mathematics, Operational Research, Statistics and Economics
This module is Option list A for:

USTAG1G3 Undergraduate Mathematics and Statistics (BSc MMathStat)

Year 3 of
G1G3 Mathematics and Statistics (BSc MMathStat)

Year 4 of
G1G3 Mathematics and Statistics (BSc MMathStat)

USTAG1G4 Undergraduate Mathematics and Statistics (BSc MMathStat) (with Intercalated Year)

Year 4 of
G1G4 Mathematics and Statistics (BSc MMathStat) (with Intercalated Year)

Year 5 of
G1G4 Mathematics and Statistics (BSc MMathStat) (with Intercalated Year)
This module is Option list B for:

Year 4 of
USTAG304 Undergraduate Data Science (MSci)
This module is Option list D for:

Year 4 of
USTAG300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics

Year 5 of
USTAG301 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated
This module is Option list E for:

Year 4 of
USTAG300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics

Year 5 of
USTAG301 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated
This module is Option list F for:

Year 3 of
USTAG300 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics

USTAG301 Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated

Year 3 of
G30H Master of Maths, Op.Res, Stats & Economics (Statistics with Mathematics Stream)

Year 4 of
G30H Master of Maths, Op.Res, Stats & Economics (Statistics with Mathematics Stream)