Resources
FURTHER READING
Apart from the book by Greenacre, cited above,3 which gives a practical introduction to all aspects of biplots, other texts on the subject include:
Bradu D, Gabriel KR. The biplot as a diagnostic tool for models of two-way tables. Technometrics 1978, 20:47–68.
Constantine AG, Gower JC. Graphical representation of asymmetry. Appl Stat 1978, 27:297–304.
Gabriel KR. Analysis of meteorological data by means of canonical decomposition and biplots. J Appl Meteorol 1972, 11:1071–1077.
Gabriel KR. Goodness of fit biplots and correspondence analysis. Biometrika 2002, 89:423–436.
Gabriel KR, Odoroff CL. Biplots in biomedical research. Stat Med 1990, 9:469–485.
Gower J, Hand D. Biplots. London: Chapman & Hall; 1996.
Gower J, Lubbe S, le Roux N. Understanding Biplots. UK: John Wiley & Sons; 2011.
Gower JC. Generalized biplots. Biometrika 1992, 79:475–493.
Gower JC. The geometry of biplot scaling. Biometrika 2004, 91:705–714.
Gower JC, Meulman JJ, Arnold GM. Non-linear metric biplots. J Classif 1999, 16:181–196.
Krzanowski WJ. Biplots for multifactorial analysis of distance. Biometrics 2004, 60:517–524.
Ter Braak CJF. Interpreting canonical correlation analysis through biplots of structural correlations and weights. Psychometrika 1990, 55:519–531.
Ter Braak CJF, Looman CWN. Biplots in reduced-rank regression. Biomet J 1994, 36:983–1003.
Underhill LG. The coefficient of variation biplot. J Classif 1990, 7:41–56.
Software for computing biplots in R is described in:
De Leeuw J,Mair P. Gifi methods for optimal scaling in R : the package homals. J Stat Softw 2009. Available at http://www.jstatsoft.org/v31/i04/paper. (Accessed March 8, 2012).
La Grange A, le Roux N, Gardner-Lubbe S. BiplotGUI: Interactive biplots in R. J Stat Softw 2008. Available at http://www.jstatsoft.org/v30/i12/paper. (Accessed March 8, 2012).
Nenadi´c O, Greenacre M. Correspondence analysis in R, with two- and three-dimensional graphics. J Stat Softw 2007. Available at http://www.jstatsoft.org/v20/i03/paper. (Accessed March 8, 2012).
Thiolouse J, Dray S. Interactive multivariate data analysis in R with the ade4 and ade4TkGUI packages. J Stat Softw 2007. Available at http://www.jstatsoft.org/v22/i05/paper. (Accessed March 8, 2012).
Finally, for an educational and entertaining introduction to the singular value decomposition (SVD) in song, watch and listen to ‘‘It had to be U’’, written by Michael Greenacre, and sung by Gurdeep Stephens, at http://www.youtube.com/StatisticalSongs.
The reference and direct web link is:
Greenacre M, Stephens G. It had to be U: the SVD song. Youtube 2011. Available at http://www.youtube.com/watch?v=JEYLfIVvR9I. (Accessed March 8, 2012).