Residuals for Point Process Model Fitted to Multiple Point Patterns

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Description

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

Usage

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## 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

, Ida-Maria Sintorn and Leanne Bischoff. Implemented by \adrian

\rolf

and \ege

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

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    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)

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