For a given condition with sex class i (where i = F, NF, M, NM) and breed group j (j = 1,2,3,..., 157) we assume that ncases ij ~ Binomial (ncases ij + ncontrols ij, pij) where ncases ij was the number of observed cases in sex group i and breed group j and ncontrols ij was the number of unaffected dogs in sex group i and breed group j and where pij was the probability of disease in sex and breed group ij. (cgejournal.biomedcentral.com)