geometricmean {compositions} | R Documentation |

## The geometric mean

### Description

Computes the geometric mean.

### Usage

```
geometricmean(x,...)
geometricmeanRow(x,...)
geometricmeanCol(x,...)
gsi.geometricmean(x,...)
gsi.geometricmeanRow(x,...)
gsi.geometricmeanCol(x,...)
```

### Arguments

`x` |
a numeric vector or matrix of data |

`...` |
further arguments to compute the mean |

### Details

The geometric mean is defined as:

`geometricmean(x) := \left( \prod_{i=1}^n x_i\right)^{1/n}`

The geometric mean is actually computed by
`exp(mean(log(c(unclass(x))),...))`

.

### Value

The geometric means of x as a whole (geometricmean), its rows (geometricmeanRow) or its columns (geometricmeanCol).

### Missing Policy

The the first three functions take the geometric mean of all non-missing values. This is because they should yield a result in term of data analysis.

Contrarily, the gsi.* functions inherit the arithmetic IEEE policy of R through
`exp(mean(log(c(unclass(x))),...))`

. Thus, NA codes a not available i.e.
not measured, NaN codes a below detection limit, and 0.0 codes a structural zero.
If any of the elements involved is 0, NA or NaN the result is of the same
type. Here 0 takes precedence over NA, and NA takes precedence
over NaN. For example, if a structural 0 appears, the geometric mean is 0
regardless of the presence of NaN's or NA's in the rest. Values below detection
limit become NaN's if they are coded as negative values.

### Author(s)

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

### See Also

### Examples

```
geometricmean(1:10)
geometricmean(c(1,0,NA,NaN)) # 0
X <- matrix(c(1,NA,NaN,0,1,2,3,4),nrow=4)
X
geometricmeanRow(X)
geometricmeanCol(X)
```

*compositions*version 2.0-8 Index]