This function produces the graphical display for the selected variant of correspondence analysis.
When catype = "CA" catype = "NSCA" and plottype = "classic", the function produces a plot
of the principal coordinates for the row and column categories.
When plottype = "biplot", it produces a biplot graphical display, or a polynomial biplot
in case of ordered variables.
For an ordered analysis only the polynomial biplots are constructed. In particular,
for the singly ordered variants only the row isometric polynomial biplot is appropriate.
When the parameter catype defines an ordered variant of CA, the input parameter
plottype should be equal to plottype = "biplot". If biptype = "row",
it will produce a row isometric polynomial biplot.
# S3 method for CAvariants
plot(x, firstaxis = 1, lastaxis = 2, thirdaxis = 3, cex = 0.8,
cex.lab = 0.8, plottype = "biplot", biptype = "row",
scaleplot = 1, posleg = "right", pos = 2, ell = FALSE,
alpha = 0.05, plot3d = FALSE, size1 = 1.5, size2 = 3, ...)
The name of the output object used with the main function CAvariants.
The horizontal polynomial, or principal, axis. By default, firstaxis = 1.
The vertical polynomial, or principal, axis. By default, lastaxis = 2.
The third polynomial, or principal, axis in tridimensional plot. By default, thirdaxis = 3.
The parameter for setting the size of the character labels for the points in a graphical display. By default, cex = 0.8.
The parameter for setting the size of the character labels of axes in graphical displays. By default, cex.lab = 0.8.
The type of graphical display required (either a correspondence plot or a biplot).
The type of graphical display to be constructed. By default, plottype = "biplot";
the alternative is plottype = "classic".
The parameter for specifying the type of biplot.
One may specify a row-isometric biplot (biptype = "row") or a column-isometric biplot (biptype = "column").
This feature is available for the nominal symmetrical and non-symmetrical correspondence analyses.
By default, a row-isometric biplot, biptype = "row", is produced.
The parameter for scaling the classic plot and biplot coordinates. See Gower et al. (2011), section 2.3.1, or
page 135 of Beh and Lombardo (2014). By default, scaleplot = 1.
The position of the legend when portraying trends of the categories
for ordered variants of correspondence analysis.
By default, posleg = "right".
The parameter that specifies the position of label of each point in the graphical display. By default, pos = 2.
The logical parameter which specifies whether algebraic confidence ellipses are to be included in the plot or not.
Setting the input parameter to ell = TRUE will assess the statistical significance of each category to
the association between the variables. By default, ell = FALSE.
The confidence level of the elliptical regions. By default, alpha = 0.05.
The logical parameter specifies whether a 3D plot is to be included
in the output or not. By default, plot3d = FALSE.
The size of the plotted symbol. By default, size = 1.5.
The size of the plotted text. By default, size = 3.
Further arguments passed to, or from, other functions.
Rosaria Lombardo and Eric J Beh
It produces either a classical or biplot graphical display. Further, when catype = "DOCA",
catype = "SOCA", catype = "DONSCA" or catype = "SONSCA",
the trends of the row and column variables (after the reconstruction of column profiles by the polynomials) is portrayed.
For classical biplot displays, it superimposes the algebraic confidence ellipses. It uses the secondary plot function caellipse (or
nscaellipse) for the symmetrical (or non symmetrical) CA variants.
Beh EJ and Lombardo R 2014 Correspondence Analysis: Theory, Practice and New Strategies. Wiley.
Gower J, Lubbe S, and le Roux, N 2011 Understanding Biplots. Wiley.
Lombardo R Beh EJ 2016 Variants of Simple Correspondence Analysis. The R Journal, 8 (2), 167--184.
Lombardo R Beh EJ and Kroonenberg PM 2016 Modelling Trends in Ordered Correspondence Analysis Using Orthogonal
Polynomials. Psychometrika, 81(2), 325--349.
data(asbestos)
resasbestosCA<-CAvariants(asbestos, catype = "CA", M=2)
plot(resasbestosCA, plottype = "classic", plot3d = TRUE)
plot(resasbestosCA, plottype = "classic", ell = TRUE)
plot(resasbestosCA, plottype = "biplot", biptype = "column", scaleplot=1.5)
resasbestosDOCA<-CAvariants(asbestos, catype = "DOCA")
plot(resasbestosDOCA, plottype = "biplot", biptype = "column")
resasbestosNSCA<-CAvariants(asbestos, catype = "NSCA")
plot(resasbestosNSCA, plottype = "biplot", biptype = "column", plot3d = TRUE)
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