Poisson regression with spatially correlated random effects |
|||||||||||||
|
Model descriptionOur data yi,j are observed on a regular 10x10 grid of points: {i,j=1,...,10}. It is assumed that yi,j ~ Poisson(li,j), where
log(li,j) = Xi,jb
+ ei,j.
Here, Xi,jb is a linear predictor and ei,j are Gaussian random variables with covariance
cov(ei1,j1,ei2,j2)
=
s2 exp(a-1 d),
where d is the Euclidean distance. Further details about the model can be found here: spatial.pdf. | ||||||||||||