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# Linear statistical modelling

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This module covers statistical modelling where a response variable depends on one or several explanatory variables: such as how well patients respond to a treatment, given their age and disease severity; or how different strains of wheat compare when grown in various conditions. Taking a practical approach, you’ll use real problems and data to stimulate analyses and their interpretation. Statistical tools are introduced, and use of the statistical software package, Genstat (supplied) is taught. You need a reasonable understanding of basic statistical ideas, as developed by Analysing data (M248). You’ll learn to use the most important methods of analysing data – a skill that too few people have.

## What you will study

This module is about the statistical modelling of situations in which a response variable depends on at least one explanatory variable. It offers a practical treatment of an important area of statistical methodology, applicable in a wide variety of situations. For example, it enables us to deal with questions such as how cavity wall insulation will affect the total energy consumption of a house; or how the probability of a successful bone marrow transplant is influenced by the ages of the donor and recipient, and other factors; or how loss due to abrasion might depend on the hardness and tensile strength of samples of rubber.

Linear statistical modelling uses real problems and data to stimulate analyses and their interpretation. Technical background is not ignored, but the main emphasis is on the knowledge needed to analyse data effectively.

The module begins with a general introductory unit, including a review of the general statistical methods and concepts that will be used later. The next unit gives a complete introduction to using the statistics package Genstat for Windows (which is supplied). We then move on to the basic linear regression model, extensions of which are the core of this module.

Subsequent units introduce a wide variety of linear statistical modelling tools: one-way analysis of variance, multiple regression, more general analysis of variance and designed experiments. All these are widely applicable cases of the normal linear model.

Further units develop linear modelling in the more general framework of the generalised linear model: binary regression; the full generalised linear model; diagnostic checking; and log-linear modelling.

A closing unit applies the methods you have learnt to the analysis of further data sets.

The Genstat package is extensively used throughout the module to perform the necessary calculations and analyses.

Read the full content list here.

### You will learn

Successful study of this module should enhance your skills in analysing and interpreting data.

### Professional recognition

This module may help you to gain membership of the Institute of Mathematics and its Applications (IMA). For further information, see the IMA website.

## Entry requirements

You need no pre-requisites to study Linear statistical modelling. However, we recommend that you’re familiar with the following mathematical topics:

• mathematical notation
• following short algebraic arguments
• handling the logarithmic and exponential functions
• using formulae

We recommend you also have previous basic knowledge of statistical science; we’ll include some revision of the following topics:

• histograms, boxplots and scatterplots
• normal, Poisson and binomial distributions
• the central limit theorem
• confidence intervals
• hypothesis testing
• simple linear regression
• correlation

We also recommend that you have some experience using a statistical software package.

Check you’re ready to study Linear statistical modelling with our self-assessed quiz.

Talk to an advisor if you’re still not sure if you’re ready.

## Preparatory work

Analysing data (M248) teaches the statistical science knowledge we recommend you to have before starting Linear statistical modelling. In addition, the mathematical competence level required to study Analysing data successfully is similar to the level we recommend to study this module. Analysing data also exposes you to a statistical software package.

## What's included

Module books, website, and online forums.

## You will need

Calculator (basic mathematical functions would be useful).

### Computing requirements

A computing device with a browser and broadband internet access is required for this module. Any modern browser will be suitable for most computer activities. Functionality may be limited on mobile devices.

Any additional software will be provided, or is generally freely available. However, some activities may have more specific requirements. For this reason, you will need to be able to install and run additional software on a device that meets the requirements below.

• A desktop or laptop computer with Windows 7 or higher
• The screen must have a resolution of at least 1024 pixels horizontally and 768 pixels vertically.

To join in the spoken conversation in our online rooms we recommend a headset (headphones or earphones with an integrated microphone).

Our Skills for OU study website has further information including computing skills for study, computer security, acquiring a computer and Microsoft software offers for students.

## Teaching and assessment

You will have a tutor who will help you with the study material and mark and comment on your written work, and whom you can ask for advice and guidance. We may also be able to offer group tutorials or day schools that you are encouraged, but not obliged, to attend. Where your tutorials are held will depend on the distribution of students taking the module.

Contact us if you want to know more about study with The Open University before you register.

### Assessment

The assessment details for this module can be found in the facts box above.

You can choose whether to submit your tutor-marked assignments (TMAs) on paper or online through the eTMA system. You may want to use the eTMA system for some of your assignments but submit on paper for others. This is entirely your choice.

## If you have a disability

The OU strives to make all aspects of study accessible to everyone and this Accessibility Statement outlines what studying M346 involves. You should use this information to inform your study preparations and any discussions with us about how we can meet your needs.

## Future availability

Linear statistical modelling (M346) starts once a year – in October. This page describes the module that will start in October 2019. We expect it to start for the last time in October 2021.

### Course work includes:

6 Tutor-marked assignments (TMAs)
Examination
No residential school

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