Postgraduate taught 

Advanced Statistics MSc

Advanced Predictive Models STATS5098

  • Academic Session: 2023-24
  • School: School of Mathematics and Statistics
  • Credits: 10
  • Level: Level 5 (SCQF level 11)
  • Typically Offered: Either Semester 1 or Semester 2
  • Available to Visiting Students: No

Short Description

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.


Asynchronous teaching material with drop-in help rooms

Excluded Courses

Advanced Predictive Models (ODL)

Generalised Linear Models

Generalised Linear Models (Level M)

Statistics 3G: Generalised Linear Models


100% final exam

Main Assessment In: April/May

Course Aims

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

Intended Learning Outcomes of Course

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.

Minimum Requirement for Award of Credits

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