klaR (version 0.6-15)

# triplot: Barycentric plots

## Description

Function to produce triangular (barycentric) plots illustrating proportions of 3 components, e.g. discrete 3D-distributions or mixture fractions that sum up to 1.

## Usage

```triplot(x = NULL, y = NULL, z = NULL, main = "", frame = TRUE,
label = 1:3, grid = seq(0.1, 0.9, by = 0.1), center = FALSE,
set.par = TRUE, ...)```

## Arguments

x

Vector of fractions of first component OR 3-column matrix containing all three components (omitting `y` and `z`) OR 3-element vector (for all three components, omitting `y` and `z`).

y

(Optional) vector of fractions of second component.

z

(Optional) vector of fractions of third component.

main

Main title

frame

Controls whether a frame (triangle) and labels are drawn.

label

(Character) vector of labels for the three corners.

grid

Values along which grid lines are to be drawn (or `FALSE` for no grid at all). Default is steps of 10 percent.

center

Controls whether or not to draw centerlines at which there is a ‘tie’ between any two dimensions (see also `centerlines`).

set.par

Controls whether graphical parameter `mar` is set so the plot fills the window (see `par`).

Further graphical parameters passed to `trilines`.

## Details

The barycentric plot illustrates the set of points (x,y,z) with x,y,z between 0 and 1 and x+y+z=1; that is, the triangle spanned by (1,0,0), (0,1,0) and (0,0,1) in 3-dimensional space. The three dimensions x, y and z correspond to lower left, upper and lower right corner of the plot. The greater the share of x in the proportion, the closer the point is to the lower left corner; Points on the opposite (upper right) side have a zero x-fraction. The grid lines show the points at which one dimension is held constant, horizontal lines for example contain points with a constant second dimension.

## See Also

`tripoints`, `trilines`, `triperplines`, `trigrid`, `triframe` for points, lines and layout, `tritrafo` for placing labels, and `quadplot` for the same in 4 dimensions.

## Examples

```# NOT RUN {
# illustrating probabilities:
triplot(label = c("1, 2 or 3", "4 or 5", "6"),
main = "die rolls: probabilities", pch = 17)
triperplines(1/2, 1/3, 1/6)

# expected...
triplot(1/2, 1/3, 1/6, label = c("1, 2 or 3", "4 or 5", "6"),
main = "die rolls: expected and observed frequencies", pch = 17)
# ... and observed frequencies.
dierolls <- matrix(sample(1:3, size = 50*20, prob = c(1/2, 1/3, 1/6),
replace = TRUE), ncol = 50)
frequencies <- t(apply(dierolls, 1,
function(x)(summary(factor(x, levels = 1:3)))) / 50)
tripoints(frequencies)

# LDA classification posterior:
data(iris)
require(MASS)
pred <- predict(lda(Species ~ ., data = iris),iris)
plotchar <- rep(1,150)
plotchar[pred\$class != iris\$Species] <- 19
triplot(pred\$posterior, label = colnames(pred\$posterior),
main = "LDA posterior assignments", center = TRUE,
pch = plotchar, col = rep(c("blue", "green3", "red"), rep(50, 3)),
grid = TRUE)
legend(x = -0.6, y = 0.7, col = c("blue", "green3", "red"),
pch = 15, legend = colnames(pred\$posterior))
# }
```