This course is concerned with models which can account for a non-normal distribution of the response and/or the fact that data is not independent, but correlated.

The course mostly consists of asynchronous teaching material.

Generalised Linear Models

Generalised Linear Models (Level M)

Statistics 3G: Generalised Linear Models

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100% Continuous Assessment

This will typically consist of practical assignments (50%) and online quizzes (50%). Full details are provided in the programme handbook.

The aims of this course are:

■ to provide an overview of different generalisations of linear regression models

■ to acquaint students with the theory of exponential families;

■ to introduce generalised linear models;

■ to introduce the concept of a time series and to present a range of approaches for representing trends and seasonality

■ to illustrate how temporal correlation can be incorporated into a regression model

■ to illustrate how random effects can be incorporated into a regression model

By the end of this course students will be able to:

■ explain and derive key aspects of the theory of exponential families and generalised linear models.

■ make correct use of models with various link functions and link distributions such as models for discrete data;

■ determine whether a time series exhibits any evidence of a trend, seasonality or short-term correlation;

■ define the class of ARIMA probability models;

■ determine an appropriate model for a data set from the class of ARIMA models;

■ predict future values for a given time series;

■ make correct use of regression models assuming correlated residuals as well as models based on generalised estimation equations;

■ explain the notion of a random effect, why and when it is useful and, in particular, how it differs from a fixed effect;

■ make correct use of hierarchical models with random effects.

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.