Contour plot of the normal distribution in S^2 {Compositional} R Documentation

## Contour plot of the normal distribution in S^2

### Description

Contour plot of the normal distribution in S^2.

### Usage

```norm.contour(m, s, type = "alr", n = 100, x = NULL, cont.line = FALSE)
```

### Arguments

 `m` The mean vector. `s` The covariance matrix. `type` The type of trasformation used, either the additive log-ratio ("alr"), the isometric log-ratio ("ilr") or the pivot coordinate ("pivot") transformation. `n` The number of grid points to consider over which the density is calculated. `x` This is either NULL (no data) or contains a 3 column matrix with compositional data. `cont.line` Do you want the contour lines to appear? If yes, set this TRUE.

### 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 normal density is calculated and the contours are plotted along with the points.

### Value

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

### Author(s)

```diri.contour, mixnorm.contour, bivt.contour, skewnorm.contour ```

### Examples

```x <- as.matrix(iris[, 1:3])
x <- x / rowSums(x)
y <- Compositional::alr(x)
m <- colMeans(y)
s <- cov(y)
norm.contour(m, s)
```

[Package Compositional version 5.2 Index]