# power

##### Create a Power Link Object

Creates a link object based on the link function \(\eta = \mu ^ \lambda\).

- Keywords
- models

##### Usage

`power(lambda = 1)`

##### Arguments

- lambda
- a real number.

##### Details

If `lambda`

is non-positive, it is taken as zero, and the log
link is obtained. The default `lambda = 1`

gives the identity
link.

##### Value

A list with components `linkfun`

, `linkinv`

,
`mu.eta`

, and `valideta`

.
See `make.link`

for information on their meaning.

##### References

Chambers, J. M. and Hastie, T. J. (1992)
*Statistical Models in S.*
Wadsworth & Brooks/Cole.

##### See Also

`make.link`

,
`family`

To raise a number to a power, see `Arithmetic`

. To calculate the power of a test, see various functions in the
stats package, e.g., `power.t.test`

.

##### Examples

`library(stats)`

```
power()
quasi(link = power(1/3))[c("linkfun", "linkinv")]
```

*Documentation reproduced from package stats, version 3.3.3, License: Part of R 3.3.3*

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