Statistical Inference
Date: 25th - 28th October 2011
Duration: 2 days
Delivered by: Dr Emma Eastoe
Registration deadline has passed.
Please contact psc@lancaster.ac.uk for more information about this course.
- External from industry/commerce - £510
- External postgraduate student - £300
- Lancaster University staff - £120
- External from academic institution/public sector/charity - £440
- Lancaster University postgraduate student - £60
- Members of Mathematics and Statistics at Lancaster University - £ 0
The main aim of this module is to give a solid foundation to the understanding of statistics as a general approach to the problem of making valid inferences about relationships using data from observational or experimental studies. Examples of analyses from the social sciences will be used to illustrate this approach. The emphasis will be on the principle of Likelihood as a unifying theory for the development of statistical analysis.
Some prior knowledge of probability theory and statistical methods is required.
- Revision of probability theory and parametric statistical models
- The properties of statistical hypothesis tests, statistical estimation and sampling distributions
- Maximum Likelihood Estimation of model parameters
- Asymptotic distributions of the maximum likelihood estimator and associated statistics for use in hypothesis testing
- Application of likelihood inference to simple statistical analyses including linear regression and contingency tables
- the basic principles of probability theory
- the properties of a statistical test
- Maximum Likelihood as a theory for estimation and inference
- the application of the methodology to hypothesis testing for model parameters, the analysis of contingency tables and linear regression
- apply theoretical concepts
- identify and solve problems