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APTS module: Statistical Modelling

Module leader: A Overstall

Please see the full Module Specifications PDF file document for background information relating to all of the APTS modules, including how to interpret the information below.

Aim: The main aim of this module is to introduce important general aspects of statistical modelling, including Bayesian modelling, and to introduce some fundamental aspects of data collection. A broad range of specific, commonly-used types of model will also be encountered.

Learning outcomes: After taking this module, students should --- for topics listed below which are included in the module --- understand the issues (why this is important), the terminology, the statistical principles associated with this aspect of modelling, and sufficient theory to deal with simple examples; and they will have gained some practical hands-on experience in more complex examples.

Prerequisites: Preparation for this module should (re-)establish familiarity with linear and generalized linear models, and with likelihood and Bayesian inference. Students who are familiar with (for example) chapters 4, 8, 10 and 11 of Davison (2003) ``Statistical Models'' will be very well prepared (and will already know something of the areas to be covered in the module).

Topics:

  • Principles and practice of model selection;
  • Random-effects/hierarchical/mixed models;
  • The role of conditional independence in modelling;
  • Data collection and an introduction to design of experiments.

Assessment: Exercises set by the module leader, which will include some practical data analysis and statistical modelling.