Compositional (version 5.0)

Contour plot of the skew skew-normal distribution in S^2: Contour plot of the skew skew-normal distribution in \(S^2\)

Description

Contour plot of the skew skew-normal distribution in \(S^2\).

Usage

skewnorm.contour(x, type = "alr", n = 100, appear = TRUE)

Arguments

x

A matrix with the compositional data. It has to be a 3 column matrix.

type

This is either "alr" or "ilr", corresponding to the additive and the isometric log-ratio transformation respectively.

n

The number of grid points to consider over which the density is calculated.

appear

Should the available data appear on the ternary plot (TRUE) or not (FALSE)?

Value

A ternary diagram with the points (if appear = TRUE) and the bivariate skew skew-normal contour lines.

Details

The alr or the ilr transformation is applied to the compositional data at first. Then for a grid of points within the 2-dimensional simplex the bivariate skew skew-normal density is calculated and the contours are plotted along with the points.

References

Azzalini A. and Valle A. D. (1996). The multivariate skew-skewnormal distribution. Biometrika 83(4):715-726.

Aitchison J. (1986). The statistical analysis of compositional data. Chapman & Hall.

See Also

diri.contour, mixnorm.contour, bivt.contour, norm.contour

Examples

# NOT RUN {
x <- as.matrix(iris[51:100, 1:3])
x <- x / rowSums(x)
skewnorm.contour(x)
# }