biplot(table; kind=:form, dim=2, [aesthetics...])

Biplot of table of given kind in dim-dimensional space.

There are four kinds of biplots:

• :form - standard biplot with shape parameter α = 1
• :cov - standard biplot with shape parameter α = 0
• :rform - relative variation biplot with α = 1
• :rcov - relative variation biplot with α = 0

Biplot attributes

• kind - kind of biplot (:form, :cov, :rform or :rcov)
• dim - number of dimensions dim ∈ {2,3} (default to 2)

Aesthetics attributes

• axescolormap - colormap of principal axes (default to theme colormap)
• dotcolormap - colormap of sample dots (default to theme colormap)
• fontsize - font size in axes and dots (default to 12)
• axesbody - size of principal axes' body (depends on dim)
• axeshead - size of principal axes' head (depends on dim)
• axescolor - color of principal axes (default to :black)
• axeslabel - names of principal axes (default to x1,x2,...)
• dotsize - size of sample dots (depends on dim)
• dotcolor - color of sample dots (default to :black)
• dotlabel - names of sample dots (default to 1:nobs)
• showdots - show names of dots (default to true)
• showlinks - show links between principal axes (default tofalse)

See https://en.wikipedia.org/wiki/Biplot.

References

• Gabriel, K. 1971. The Biplot Graphic Display of Matrices with Application to Principal Component Analysis

• Aitchison, J. & Greenacre, M. 2002. Biplots of Compositional data

factors(table; kind=:form, dim=2)

Return F, G/k and σ² where F and G are the factors (i.e. matrices with rank dim) of the design matrix Z obtained with a given kind of transformation.

The scalar κ scales the column vectors for plotting purposes and the variance explained σ² is also returned.