# anova.ppm

##### ANOVA for Fitted Point Process Models

Performs analysis of deviance for two or more fitted point process models.

##### Usage

```
## S3 method for class 'ppm':
anova(object, \dots, test=NULL, adjust=TRUE, warn=TRUE)
```

##### Arguments

- object
- A fitted point process model
(object of class
`"ppm"`

). - ...
- One or more fitted point process models.
- test
- Character string, partially matching one of
`"Chisq"`

,`"LRT"`

,`"Rao"`

or`"score"`

. - adjust
- Logical value indicating whether to correct the pseudolikelihood ratio when some of the models are not Poisson processes.
- warn
- Logical value indicating whether to issue warnings if problems arise.

##### Details

This is a method for `anova`

for
fitted point process models (objects of class `"ppm"`

,
usually generated by the model-fitting function `ppm`

).

If the fitted models are all Poisson point processes,
then by default, this function performs an Analysis of Deviance of
the fitted models. The output shows the deviance differences
(i.e. 2 times log likelihood ratio),
the difference in degrees of freedom, and (if `test="Chi"`

or `test="LRT"`

)
the two-sided p-values for the chi-squared tests. Their interpretation
is very similar to that in `anova.glm`

.
If `test="Rao"`

or `test="score"`

,
the *score test* (Rao, 1948) is performed instead.

If some of the fitted models are *not* Poisson point processes,
the `deviance' differences in this table are
'pseudo-deviances' equal to 2 times the differences
in the maximised values of the log pseudolikelihood (see
`ppm`

). It is not valid to compare these
values to the chi-squared distribution. In this case,
if `adjust=TRUE`

(the default), the
pseudo-deviances will be adjusted using the method of Pace et al
(2011) so that the chi-squared test is valid.
It is strongly advisable to perform this adjustment.

##### Value

- An object of class
`"anova"`

, or`NULL`

.

##### References

Baddeley, A., Turner, R. and Rubak, E. (2014) Adjusted composite likelihood ratio test for Gibbs point processes. Submitted for publication.

Pace, L., Salvan, A. and Sartori, N. (2011)
Adjusting composite likelihood ratio statistics.
*Statistica Sinica* **21**, 129--148.

Rao, C.R. (1948)
Large sample tests of statistical hypotheses concerning
several parameters with applications to problems of
estimation. *Proceedings of the Cambridge Philosophical Society*
**44**, 50--57.

##### See Also

##### Examples

```
mod0 <- ppm(swedishpines ~1)
modx <- ppm(swedishpines ~x)
anova(mod0, modx, test="Chi")
anova(mod0, modx, test="Rao")
modxy <- ppm(swedishpines ~x + y)
anova(modxy, test="Chi")
modP <- ppm(swedishpines ~1, rbord=9)
modS <- ppm(swedishpines ~1, Strauss(9))
anova(modP, modS, test="Chi")
```

*Documentation reproduced from package spatstat, version 1.42-2, License: GPL (>= 2)*