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

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. If errors come to light I will note them separately here.

All files are in PDF format.

An introduction to the the MSc Introductory Material

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. Solutions will be provided in due course.

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.

Block C: Background mathematics

Block C - 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 (see also below)
• Geometry
• Calculus
• Lagrange Multipliers
• Other Topics

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

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...']