Modern applications of statistics to medicine are highly developed, and many medical research papers employ statistical techniques. Large numbers of statisticians are employed in medical research establishments, particularly in pharmaceutical companies and medical schools. Medical statistics continues to be a buoyant area for statistical recruitment. The course will explain why and how statistics is used in medicine, and study some of the statistical methods commonly used in medical research. We will include examples from our own research. The statistical techniques applied to medical data are also relevant in other applications.
Outline syllabus
Study designs: cohort, case-control and survey designs; randomised clinical trials; adaptive clinical trial designs.
Analysis of censored survival data: Life tables; hazard and survival functions; Kaplan-Meier survival curves; parametric survival models, the proportional hazards regression model.
Systematic reviews and meta-analysis: Systematic reviews summarise evidence on particular medical topics; meta-analyses use statistical methods such as glms to summarise studies included in systematic reviews; publication bias and funnel plots; Cochrane reviews.
This course gives an introduction to mathematical finance in discret time models. The subjects include no-arbitrage, the fundamental theorem of asset pricing, mean-variance hedging, utility theory, risk measures and the pricing and hedging of contingent claims, including calls and puts.
The course comes in 5 Chapters and there will be 5 problem sheets roughly one per Chapter.
There are fortnightly tutorials. There is no assessed coursework for this module, but you are strongly encouraged to take an active participation in the tutorials.
Because of the discovery of RAAC in teaching buildings, the timings and venues of teaching have had to be re-arranged at short notice. What we have is far from ideal, but is the least worst option.