# residuals.mppm

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

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.

##### 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.

##### See Also

##### Examples

```
data(waterstriders)
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)
```

*Documentation reproduced from package spatstat, version 1.36-0, License: GPL (>= 2)*