# linearK

##### Linear K Function

Computes an estimate of the linear $K$ function for a point pattern on a linear network.

- Keywords
- spatial, nonparametric

##### Usage

`linearK(X, r=NULL, ..., correction="Ang")`

##### Arguments

- X
- Point pattern on linear network (object of class
`"lpp"`

). - r
- Optional. Numeric vector of values of the function argument $r$. There is a sensible default.
- ...
- Ignored.
- correction
- Geometry correction.
Either
`"none"`

or`"Ang"`

. See Details.

##### Details

This command computes the linear $K$ function from point pattern data on a linear network.

If `correction="none"`

, the calculations do not include
any correction for the geometry of the linear network. The result is the
network $K$ function as defined by Okabe and Yamada (2001).

If `correction="Ang"`

, the pair counts are weighted using
Ang's correction (Ang, 2010; Ang et al, 2012).

##### Value

- Function value table (object of class
`"fv"`

).

##### References

Ang, Q.W. (2010) Statistical methodology for spatial point patterns on a linear network. MSc thesis, University of Western Australia.

Ang, Q.W., Baddeley, A. and Nair, G. (2012)
Geometrically corrected second-order analysis of
events on a linear network, with applications to
ecology and criminology.
To appear in *Scandinavian Journal of Statistics*.

Okabe, A. and Yamada, I. (2001) The K-function method on a network and
its computational implementation. *Geographical Analysis*
**33**, 271-290.

##### See Also

##### Examples

```
data(simplenet)
X <- rpoislpp(5, simplenet)
linearK(X)
linearK(X, correction="none")
```

*Documentation reproduced from package spatstat, version 1.23-5, License: GPL (>= 2)*