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The University of Southampton

MATH6021 Survival Analysis

Module Overview

The module will introduce the basic concepts of survival analysis and to describe and explain how survival analysis can be applied to medical data in other application areas, with emphasis on the use of appropriate statistical software.

Aims and Objectives

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

  • understand the basic concepts and ideas of survival analysis
  • derive properties and methods for standard survival time distributions
  • perform and interpret simple non-parametric survival analyses using appropriate software
  • apply and interpret semi-parametric and parametric regression models for survival data using appropriate software
  • critically review articles in which basic survival modelling is applied


Introduction to survival analysis; standard survival time distributions; survivor, hazard and related functions; censoring. Kaplan-Meier and related estimators for the survivor function; comparison of survivor functions using log-rank and related non-parametric tests. Properties of survival time distributions and maximum likelihood estimation with right-censored data. Accelerated failure time models and Cox proportional hazards models: application, model-building, diagnostics, interpretation. Examples of survival analyses from the literature: critical review. Survival analyses using statistical packages such as SAS and R.

Learning and Teaching

Teaching and learning methods

Lectures, tutorials, formative problem sheet, summative coursework, support materials on Blackboard, private study.

Independent Study63
Total study time75

Resources & Reading list

Collett D (2014). Modelling Survival Data in Medical Research. 

Hosmer DW, Lemeshow S & May S (2008). Applied Survival Analysis. 

Kleinbaum DG (2005). Survival Analysis: A Self-Learning Text. 



MethodPercentage contribution
Coursework 100%


MethodPercentage contribution
Coursework assignment(s) 100%

Repeat Information

Repeat type: Internal & External

Linked modules

Pre-requisites: MATH2010 AND MATH2011


Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

Books and Stationery equipment

Recommended texts for this module may be available in limited supply in the University Library and students may wish to purchase reading texts as appropriate.

Course texts are provided by the library and there are no additional compulsory costs associated with the module.

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at

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