Number of lectures per week:
Description: This course is concerned with the the use of linear statistical models for the analysis of data from a variety of sources. Such models include as special cases the classical linear models which underlie regression and analysis of variance. In these, the random variation is modelled by the familiar Normal distribution, the expected value of which is some linear function of the explanatory variables. But the framework is much wider, and also includes the Binomial and Poisson models random variation, as well as many others, and allows the expected value to be modelled as some function of a linear combination of the explanatory variables. A most important special case is logistic regression.
Aplications will include many areas of science and of business. The course will address both the theory of such models and the application to data analysis using modern statistical software. It will be presumed that students will have a general familiarity with the elementary mathematics of discrete and continuous univariate probability distributions, and with the concepts of least squares and maximum likelihood. The first week will be used as a refresher of these concepts. Students will be expected to be able to use standard computer packages for data analysis.
The course will follow Dobson and will cover the topics of:
The exponential family of distributions and generalized linear models
Analysis of variance and covariance
Binary variables and logistic regression
Contingency tables and log-linear models
Dobson, A.J., An Introduction to Generalized Linear Models, Chapman and Hall, 1990.
Oct 11, 2001