MSc Statistics: Introductory material

This background material in this page is relevant to all statistics MSc courses.

MSc Statistics courses | Notes on using this MSc introductory material

Some of this material will be covered in the Introductory Week but you are expected to have worked on most of it before you come to Sheffield. All MSc students are expected to be in Sheffield for the start of the Introductory Week.

Background mathematics

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

Background mathematics notes

Background mathematics exercises

Block A: Probability and Statistical theory

  • Probability
  • Random Variables
  • Multivariate Random Variables and Distributions
  • Introduction to Inference and Likelihood
  • Interval Estimation and Hypothesis Testing

Block A notes

Block A exercises

Hints on Block A exercises

Common distributions

Relations between distributions

Block B: Statistical Methods

  • Exploratory data analysis
  • Basic inference for continuous data
  • basic inference for discrete data
  • Simple linear regression and ANOVA

Block B notes

Block B exercises

Statistical Computing using R

Many of our MSc modules really heavily on the statistical programming language R. You will start using R in the Introductory Week but if you want to try it out before you come then work through this Basic R Workbook.