# linearK

0th

Percentile

##### 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", ratio=FALSE)
##### 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.

ratio

Logical. If TRUE, the numerator and denominator of the estimate will also be saved, for use in analysing replicated point patterns.

##### 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. Scandinavian Journal of Statistics 39, 591--617.

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

compileK, lpp

• linearK
##### Examples
# NOT RUN {
data(simplenet)
X <- rpoislpp(5, simplenet)
linearK(X)
linearK(X, correction="none")
# }

Documentation reproduced from package spatstat, version 1.61-0, License: GPL (>= 2)

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