Notes for ST463/ST683 Linear Models 1

Katarina Domijan, Catherine Hurley

2018-11-12

1 Module Preliminaries

1.1 Recommended texts

There are many good resources, e.g. Weisberg (2005), Fox (2005), Fox (2016), Ramsey and Schafer (2002), Draper and Smith (1966).

1.2 Software

We will use Minitab and R (R Core Team 2017). To create this document, I am using the bookdown package (Xie 2018) which was built on top of R Markdown and knitr (Xie 2015). Other packages used are: rgl (Adler, Murdoch, and others 2018), plyr (Wickham 2011), ggplot2 (Wickham 2016), scatterplot3d (Ligges and Mächler 2003), MASS (Venables and Ripley 2002), car (Fox and Weisberg 2011), datasets (R Core Team 2018), datasauRus (Locke and D’Agostino McGowan 2018) and Sleuth3 (F.L. Ramsey et al. 2016).

1.3 R Scripts

R scripts for the notes can be found here.

References

Weisberg, Sanford. 2005. Applied linear regression. Wiley-Blackwell.

Fox, John. 2005. Regression diagnostics. Sage Publishers.

Fox, John. 2016. Applied Regression Analysis and Generalized Linear Models. 3rd ed. SAGE Publications.

Ramsey, Fred, and Daniel Schafer. 2002. The Statistical Sleuth: A Course in Methods of Data Analysis. 2nd ed. Duxbury Press.

Draper, Norman Richard, and Harry Smith. 1966. Applied Regression Analysis. Wiley Series in Probability and Mathematical Statistics. Wiley.

R Core Team. 2017. R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing. https://www.R-project.org/.

Xie, Yihui. 2018. Bookdown: Authoring Books and Technical Documents with R Markdown. https://CRAN.R-project.org/package=bookdown.

Xie, Yihui. 2015. Dynamic Documents with R and Knitr. 2nd ed. Boca Raton, Florida: Chapman; Hall/CRC. http://yihui.name/knitr/.

Adler, Daniel, Duncan Murdoch, and others. 2018. Rgl: 3D Visualization Using Opengl. https://CRAN.R-project.org/package=rgl.

Wickham, Hadley. 2011. “The Split-Apply-Combine Strategy for Data Analysis.” Journal of Statistical Software 40 (1): 1–29. http://www.jstatsoft.org/v40/i01/.

Wickham, Hadley. 2016. Ggplot2: Elegant Graphics for Data Analysis. Springer-Verlag New York. http://ggplot2.org.

Ligges, Uwe, and Martin Mächler. 2003. “Scatterplot3d - an R Package for Visualizing Multivariate Data.” Journal of Statistical Software 8 (11): 1–20. http://www.jstatsoft.org.

Venables, W. N., and B. D. Ripley. 2002. Modern Applied Statistics with S. Fourth. New York: Springer. http://www.stats.ox.ac.uk/pub/MASS4.

Fox, John, and Sanford Weisberg. 2011. An R Companion to Applied Regression. Second. Thousand Oaks CA: Sage. http://socserv.socsci.mcmaster.ca/jfox/Books/Companion.

R Core Team. 2018. R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing. https://www.R-project.org/.

Locke, Steph, and Lucy D’Agostino McGowan. 2018. DatasauRus: Datasets from the Datasaurus Dozen. https://CRAN.R-project.org/package=datasauRus.

F.L. Ramsey, Original by, D.W. Schafer; modifications by Daniel W. Schafer, Jeannie Sifneos, Berwin A. Turlach; vignettes contributed by Nicholas Horton, Linda Loi, Kate Aloisio, Ruobing Zhang, and with corrections by Randall Pruim. 2016. Sleuth3: Data Sets from Ramsey and Schafer’s “Statistical Sleuth (3rd Ed)”. https://CRAN.R-project.org/package=Sleuth3.