The University of Southampton

# MATH6021 Survival Analysis

## Module Overview

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

### Aims and Objectives

#### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• 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

### Syllabus

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.

Collett D - Modelling Survival Data in Medical Research, Third Edition (CRC/Chapman & Hall, 2014)

Hosmer DW, Lemeshow S & May S - Applied Survival Analysis, Second Edition (Wiley, 2008)

Kleinbaum DG - Survival Analysis: A Self-Learning Text, Second Edition (Springer, 2005)

### Assessment

#### Assessment methods

Assessment Method Hours % contribution to final mark Feedback
Coursework 100% Coursework: PURPOSE OF ASSESSMENT: To demonstrate the extent to which students have assimilated material in the syllabus and can apply it to relevant problems and situations. It will be used to help determine the overall degree classification of the student.   100% FEEDBACK: Individual feedback is written on each script. Generic feedback and outline solutions are given on Blackboard.

Referral Method: By set coursework assignment(s)

Method of Repeat Year: Repeat year internally. Repeat year externally.

### Costs

#### Costs associated with this course

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.

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 www.calendar.soton.ac.uk.

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