Statistics 2 University Of Bristol

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Statistics 2 University Of Bristol

 Statistics 2 University Of Bristol

Unit aims

To develop the theory and practice of basic statistical inference, and statistical calculation.

Unit description

Statistics is about inference under uncertainty, ie in situations where deductive logic cannot give a clearcut answer. In these situations our decisions must be assessed in terms of their probabilities of being correct or incorrect. Such decisions include estimating the parameters of a statistical model, making predictions, and testing hypotheses. It is often possible to identify ‘optimal’ or at least good decisions, and Statistics is about these decisions, and knowing where they apply. A thorough grounding in Statistics, as provided by this course, is crucial not only for anyone contemplating a career in finance or industry, but also for scientists and policymakers, as we realise that some of the biggest issues, like climate change, natural hazards, or health, are also some of the most uncertain.

Relation to other units

This unit develops Level 4 probability and statistics material, and is a prerequisite for some statistics units at Levels 6 and 7, namely Bayesian Modelling A, Generalised Linear Models, and Theory of Inference, and desirable for Linear Models.

Learning objectives

By the end of the course the students should be able to:

  • Design powerful tests for statistical hypotheses, and understand both the power and the limitations of such tests.
  • Derive estimators of statistical parameters using Maximum Likelihood (ML), including assessment of their properties and measures of uncertainty.
  • Apply the Bayesian approach to estimation, prediction, and hypothesis testing, in the special case of conjugate analysis.
  • Use asymptotic arguments to understand the convergence of ML and Bayesian methods for large samples.
  • Choose appropriate statistical models for many common situations, and validate them.
  • Use the statistical computing enviroment R for routine statistical calculations, and plotting.

Transferable skills

A clearer understanding of the logical constraints on inference; facility with the R environment for statistical computing.