R: Residuals for Point Process Model Fitted to Multiple Point...

residuals.mppm {spatstat.core} | R Documentation

## Residuals for Point Process Model Fitted to Multiple Point Patterns

### Description

Given a point process model fitted to multiple point patterns, compute residuals for each pattern.

### Usage

    ## S3 method for class 'mppm'
    residuals(object, type = "raw", ...,
                                 fittedvalues = fitted.mppm(object))

### Arguments

`object` | Fitted point process model (object of class `"mppm"`).
`...` | Ignored.
`type` | Type of residuals: either `"raw"`, `"pearson"` or `"inverse"`. Partially matched.
`fittedvalues` | Advanced use only. Fitted values of the model to be used in the calculation.

### Details

Baddeley et al (2005) defined residuals for the fit of a point process model to spatial point pattern data. For an explanation of these residuals, see the help file for `residuals.ppm`.

This function computes the residuals for a point process model fitted to multiple point patterns. The `object` should be an object of class `"mppm"` obtained from `mppm`.

The return value is a list. The number of entries in the list equals the number of point patterns in the original data. Each entry in the list has the same format as the output of `residuals.ppm`. That is, each entry in the list is a signed measure (object of class `"msr"`) giving the residual measure for the corresponding point pattern.

### Value

A list of signed measures (objects of class `"msr"`) giving the residual measure for each of the original point patterns. See Details.

### Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au, Ida-Maria Sintorn and Leanne Bischoff. Implemented by Adrian Baddeley Adrian.Baddeley@curtin.edu.au

Rolf Turner r.turner@auckland.ac.nz

and Ege Rubak rubak@math.aau.dk

### References

Baddeley, A., Turner, R., Moller, J. and Hazelton, M. (2005) Residual analysis for spatial point processes. Journal of the Royal Statistical Society, Series B 67, 617–666.

Baddeley, A., Rubak, E. and Turner, R. (2015) Spatial Point Patterns: Methodology and Applications with R. London: Chapman and Hall/CRC Press.

### See Also

`mppm`, `residuals.mppm`

### Examples

        fit <- mppm(Bugs ~ x, hyperframe(Bugs=waterstriders))
        r <- residuals(fit)
        # compute total residual for each point pattern
        rtot <- sapply(r, integral.msr)
        # standardise the total residuals
        areas <- sapply(windows.mppm(fit), area.owin)
        rtot/sqrt(areas)

[Package spatstat.core version 2.3-1 Index]