1 Module Preliminaries

This book contains lecture notes for module ST303 Linear Models offered by the Mathematics and Statistics Department at Maynooth University.

As such it is continually revised to teach the course, the content may change from year to year. A base link is https://bookdown.org/domijank/ST463/ Note that the module code has changed since.

Feel free to adopt this book or parts of it to your own purposes, but please acknowledge its use in your own work. To cite this book, please use:

Katarina Domijan, Catherine Hurley (2018). Notes for ST463/ST683 Linear Models 1. Department of Mathematics and Statistics, Maynooth University, Maynooth Ireland. Online textbook (version 1.0, November 12, 2018). Retrieved from https://bookdown.org/domijank/ST463/, DOI:10.5281/zenodo.17945213

1.1 Recommended texts

There are many good resources. These lecture notes are based on:

Weisberg (2005), Fox (2005), Fox (2016), Ramsey and Schafer (2002), Draper and Smith (1966).

1.2 Software

We will use R.

I will have a lecture on R for beginners to bring people to speed in week 2. All code needed to complete assignments will be similar to examples in the notes.

To create this document, I am using the bookdown package (Xie 2018) which was built on top of R Markdown (Allaire et al. 2025), (Xie, Allaire, and Grolemund 2018), (Xie, Dervieux, and Riederer 2020) and knitr (Xie 2015).

We will use:

tidyverse (Wickham et al. 2019), in particular
dplyr (Wickham et al. 2022) and
ggplot2 (Wickham 2016).

Other useful packages used are:

2 Introduction