cross-nested random structure in glmmPQL
Dear members, ? I'm trying to fit a GLMM using glmmPQL with a cross-nested random structure. Basically, I have perfectly crossed observations of whether there is a relation between two people (sender and receiver of relation) and I'd like to do a random structure where the relations to an from the same actor are related. If A and B are the random effects for specific sender and receiver the covariance matrix should look like this: ? sigma_A^2*I????? sigma_AB*I sigma_AB*I?????? sigma_B^2*I ? where I is an n x n identity matrix. The code I have so far has the random structure of: ?
const <-? factor(rep(1, length(data$y)))
mod <- glmmPQL(y ~ as.factor(variableS) + as.factor(variableR),
random = list(const = pdBlocked(list(pdIdent(~1),pdIdent(~sender-1),pdIdent(~receiver-1)))),
data=data, family=binomial)
? I think this code only leads to a diagonal covariance matrix and doesn't consider the covariance sigma_AB I'd like to model. Do you have any suggestions how I have to change the random part of my formula in order to get the right covariance matrix? ? Any help is highly appreciated! ? Thank you, Carrie