# linearmarkequal: Mark Connection Function for Multitype Point Pattern on... In spatstat: Spatial Point Pattern Analysis, Model-Fitting, Simulation, Tests

## Description

For a multitype point pattern on a linear network, estimate the mark connection function from points of type i to points of type j.

## Usage

 `1` ```linearmarkequal(X, r=NULL, ...) ```

## Arguments

 `X` The observed point pattern, from which an estimate of the mark connection function p[ij](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). `r` numeric vector. The values of the argument r at which the function p[ij](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. `...` Arguments passed to `linearpcfcross` and `linearpcf`.

## Details

This is the mark equality function for a point pattern on a linear network (object of class `"lpp"`).

The argument `r` is the vector of values for the distance r at which p[ij](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`).

## 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`, `linearmarkconnect`, `markconnect`.

## Examples

 ```1 2 3 4 5 6 7 8``` ``` if(interactive()) { X <- chicago } else { X <- runiflpp(20, simplenet) %mark% sample(c("A","B"), 20, replace=TRUE) } p <- linearmarkequal(X) ```

### Example output

```Loading required package: nlme