University of Sheffield, School of Mathematics and Statistics

MSc in Statistics,

MSc in Statistics with Medical Applications,

MSc in Statistics with Financial Mathematics

Introductory Material 2015-16

**This page is essentially stable. That doesn't mean that the files need no further correction or refinement, but the versions here should not change again.
**

All files (except four data files at the end) are in PDF format.

An introduction to the the MSc Introductory Material

Intro Week will run from 9am on 21th September 2015 to lunchtime on Friday 25th September.

The week is very full. Make sure you will arrive in time.
## Background mathematics

Sketch of some background mathematics for the MSc in Statistics. Contents:

- Set Theory
- Quadratic Equations
- Rules of Indices and Logarithms
- Arithmetic and Geometric Progressions
- Permutations and Combinations
- Use of Sum and Product Notation
- Series Expansions and Limits
- Matrices
- Geometry
- Calculus
- Lagrange Multipliers
- Other Topics

Exercises on mathematical methods. No solutions provided to these, but there will be a help session on them.

## Block A: Probability and Statistical Theory

Block A notes. Contents:

- Probability
- Random Variables
- Multivariate Random Variables and Distributions
- Introduction to inference and likelihood
- Interval Estimation and Hypothesis Testing

Exercises on the material in Block A and some hints on the exercises.

Lists of common distributions and some relations between distributions.

## Block B: Statistical Methods

Block B notes. Contents:

- Exploratory Data Analysis
- Basic Inference for Continuous Data
- Basic Inference for Discrete Data
- Simple Linear Regression and ANOVA

Exercises on the material in Block B. Solutions will be provided in due course.

## Additional material

An Introduction to R: an introduction to the computer package R, written by Dr Jeremy Oakley.

There will be introductory sessions on R in Intro Week; if you would like to experiment with R before then it can be downloaded from one of the sites listed on the Comprehensive R Archive Network (the Bristol site is likely to be the best if you are in the UK).

remission.txt
grapeweights.txt
Systolic-bp.txt
Restrnt.txt [right-click and use 'Save link as...']