R: Extract Quadrature Scheme Used to Fit a Point Process Model

quad.ppm {spatstat} | R Documentation

## Extract Quadrature Scheme Used to Fit a Point Process Model

### Description

Given a fitted point process model, this function extracts the quadrature scheme used to fit the model.

### Usage

      quad.ppm(object, drop=FALSE, clip=FALSE)

### Arguments

`object` | fitted point process model (an object of class `"ppm"` or `"kppm"` or `"lppm"`).
`drop` | Logical value determining whether to delete quadrature points that were not used to fit the model.
`clip` | Logical value determining whether to erode the window, if `object` was fitted using the border correction. See Details.

### Details

An object of class `"ppm"` represents a point process model that has been fitted to data. It is typically produced by the model-fitting algorithm `ppm`.

The maximum pseudolikelihood algorithm in `ppm` approximates the pseudolikelihood integral by a sum over a finite set of quadrature points, which is constructed by augmenting the original data point pattern by a set of “dummy” points. The fitted model object returned by `ppm` contains complete information about this quadrature scheme. See `ppm` or `ppm.object` for further information.

This function `quad.ppm` extracts the quadrature scheme. A typical use of this function would be to inspect the quadrature scheme (points and weights) to gauge the accuracy of the approximation to the exact pseudolikelihood.

Some quadrature points may not have been used in fitting the model. This happens if the border correction is used, and in other cases (e.g. when the value of a covariate is `NA` at these points). The argument `drop` specifies whether these unused quadrature points shall be deleted (`drop=TRUE`) or retained (`drop=FALSE`) in the return value.

The quadrature scheme has a window, which by default is set to equal the window of the original data. However this window may be larger than the actual domain of integration of the pseudolikelihood or composite likelihood that was used to fit the model. If `clip=TRUE` then the window of the quadrature scheme is set to the actual domain of integration. This option only has an effect when the model was fitted using the border correction; then the window is obtained by eroding the original data window by the border correction distance.

See `ppm.object` for a list of all operations that can be performed on objects of class `"ppm"`. See `quad.object` for a list of all operations that can be performed on objects of class `"quad"`.

This function can also be applied to objects of class `"kppm"` and `"lppm"`.

### Value

A quadrature scheme (object of class `"quad"`).

### Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au

and Rolf Turner r.turner@auckland.ac.nz

### See Also

`ppm.object`, `quad.object`, `ppm`

### Examples

     fit <- ppm(cells ~1, Strauss(r=0.1))
     Q <- quad.ppm(fit)
     ## Not run: plot(Q)
     npoints(Q$data)
     npoints(Q$dummy)

[Package spatstat version 1.54-0 Index]