A Rao test can be performed using samples from the null model, the Poisson
process with rate 5.92. We could write a programme to produce independent
samples for this process, but here we just use the MCMC sampler for the
saturation process with parameter 
.
The Rao test statistic is
where 
is the MLE in the null hypothesis. From computations
done the same way as for the saturation model, we obtain
and
which gives 
.