619-330 Linear Models

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Objectives:

Students completing this subject should:

Comprehend:

• the basic theory of the General Linear Model;

• how linear models are used to analyse data.

Have developed the skills:

• to examine data for common structures and patterns;

• to formulate linear models in specific practical situations - including univariate normal responses with a combination of explanatory factors;

• to carry out the necessary computations on the computer;

• to check the assumptions of the model in specific situations;

• to express the results of modelling in scientifically useful terms.

Appreciate:

• the importance of the General Linear Model in analysing a variety of data and giving useful information about scientific subject matter.

Content:

General least squares theory of estimation and hypothesis testing; application to one and two-way classification; factorial experiments; analysis of covariance; multiple regression; polynomial regression; non-linear regression; discriminant analysis; principal components; use of statistical computer packages; nested and crossed factors; fixed and random effects; multiple and orthogonal contrasts.

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