Principles of Statistical Inference (BSTA5002)
UNIT OF STUDY
The aim of this unit is to provide a strong mathematical and conceptual foundation in the methods of statistical inference, with an emphasis on practical aspects of the interpretation and communication of statistically based conclusions in health research. Content covered includes: review of the key concepts of estimation and construction of Normal-theory confidence intervals; frequentist theory of estimation including hypothesis tests; methods of inference based on likelihood theory, including use of Fisher and observed information and likelihood ratio; Wald and score tests; an introduction to the Bayesian approach to inference; an introduction to distribution-free statistical methods.
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Further unit of study information
8-12 hours total study time per week, distance learning
2xwritten assignments (2x35%) and practical exercises (30%)
Notes supplied. Recommended reference books (not compulsory): Azzalini A. Statistical Inference Based on the Likelihood. Chapman and Hall, London 1996. ISBN 978-0-412-60650-2 Clayton D, Hills M. Statistical Models in Epidemiology. Oxford University Press, Oxford, 1993. ISBN 978-0-19-852221-8. Wackerley DD, Mendenhall W, Scheaffer RL. Mathematical Statistics with Applications. Duxbury Press, 2007. ISBN 978-0-495-11081-1
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Prerequisites and assumed knowledge
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