# linearpcfdot

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##### Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern

For a multitype point pattern on a linear network, estimate the multitype pair correlation function from points of type $i$ to points of any type.

Keywords
spatial, nonparametric
##### Usage
linearpcfdot(X, i, r=NULL, …, correction="Ang")
##### Arguments
X

The observed point pattern, from which an estimate of the $i$-to-any pair correlation function $g_{i\bullet}(r)$ will be computed. An object of class "lpp" which must be a multitype point pattern (a marked point pattern whose marks are a factor).

i

Number or character string identifying the type (mark value) of the points in X from which distances are measured. Defaults to the first level of marks(X).

r

numeric vector. The values of the argument $r$ at which the function $g_{i\bullet}(r)$ should be evaluated. There is a sensible default. First-time users are strongly advised not to specify this argument. See below for important conditions on $r$.

correction

Geometry correction. Either "none" or "Ang". See Details.

Arguments passed to density.default to control the kernel smoothing.

##### Details

This is a counterpart of the function pcfdot for a point pattern on a linear network (object of class "lpp").

The argument i will be interpreted as levels of the factor marks(X). If i is missing, it defaults to the first level of the marks factor.

The argument r is the vector of values for the distance $r$ at which $g_{i\bullet}(r)$ should be evaluated. The values of $r$ must be increasing nonnegative numbers and the maximum $r$ value must not exceed the radius of the largest disc contained in the window.

##### Value

An object of class "fv" (see fv.object).

##### Warnings

The argument i is interpreted as a level of the factor marks(X). Beware of the usual trap with factors: numerical values are not interpreted in the same way as character values.

##### References

Baddeley, A, Jammalamadaka, A. and Nair, G. (to appear) Multitype point process analysis of spines on the dendrite network of a neuron. Applied Statistics (Journal of the Royal Statistical Society, Series C), In press.

linearpcfcross, linearpcf. pcfcross.

• linearpcfdot
##### Examples
# NOT RUN {
data(chicago)
g <- linearpcfdot(chicago, "assault")
# }

Documentation reproduced from package spatstat, version 1.59-0, License: GPL (>= 2)

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