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Graduate Certificate in Theoretical Statistics and Probability - Learning outcomes

Educational aims

This certificate introduces you to the key theory underpinning statistics and probability. The aim is for you to achieve:

  • familiarity with a range of probability models and stochastic processes
  • familiarity with the key ideas of distribution theory and both the classical and Bayesian approach to statistical inference, including linear modelling
  • the ability to communicate and critically comment on probabilistic modelling and the underlying mathematical theory of statistical results
  • an appreciation of the ubiquitous role of variability in the world around us
  • an appreciation of the setting and breadth of statistics and applied probability in today’s world
  • confidence using the correct statistics at work, through the knowledge of the underlying mathematical theory

Learning outcomes

Knowledge and understanding

On completion of this certificate, you’ll have knowledge and understanding of:

  • the concepts and rules of probability
  • probability models for distributions and events occurring in time and space
  • the assumption and theory underlying statistical inference, modelling and distribution theory

Cognitive skills

On completion of this certificate, you’ll be able to:

  • formulate practical problems in a probabilistic framework
  • choose appropriate models for situations involving uncertainty and understand their key elements, properties and underlying mathematical theory

Practical and/or professional skills

On completion of this certificate, you’ll be able to:

  • apply statistical and probabilistic concepts and modelling to a wide range of problems
  • analyse and evaluate practical and theoretical problems and plan strategies for their solution
  • be an independent learner, able to acquire further knowledge with little guidance or support
  • understand the importance and relevance of statistics and probability in the modern world

Key skills

On completion of this certificate, you’ll be able to demonstrate the following skills:

  • read and/or listen to documents and discussions having statistical content, with an appropriate level of understanding
  • communicate information having statistical content accurately and effectively, using a format, structure and style that suits the purpose

Teaching, learning and assessment methods

You’ll acquire knowledge and understanding – as well as cognitive skills – through distance-learning materials that include specially written module texts, guides to study, assignments and specimen examination papers; and through a range of multimedia material.

You’ll work independently with the distance-learning materials, and be supported by optional face-to-face and online tutorials.

You’ll be continuously assessed throughout each module. Each module will have a threshold (or thresholds) that you must meet to pass the continuous assessment. Written tutor feedback on assignments provides you with individual tuition and guidance. Each module has a final examination that you must pass. Generally, you’re permitted to bring the module handbook into the examinations, this reduces the need for memorisation and allows you to concentrate on applying concepts and techniques.