M-model implementation of the spatially non-structured multivariate latent effect using the rgeneric model of INLA.
Mmodel_iid(
cmd = c("graph", "Q", "mu", "initial", "log.norm.const", "log.prior", "quit"),
theta = NULL
)This is used internally by the INLA::inla.rgeneric.define() function.
Internal functions used by the rgeneric model to define the latent effect.
Vector of hyperparameters.
This function considers a spatially non-structured prior for the spatial latent effects of the different diseases and introduces correlation between them using the M-model proposal of botella2015unifying;textualbigDM.
Putting the latent effects for each disease in a matrix, the between disease dependence is introduced through the M matrix as \(\Theta=\Phi M\), where the columns of \(\Phi\) follow an IID (independent and identically distributed) prior distribution (within-disease correlation).
A Wishart prior for the between covariance matrix \(M'M\) is considered using the Bartlett decomposition.
The following arguments are required to be defined before calling the functions:
W: binary adjacency matrix of the spatial areal units
J: number of diseases
initial.values: initial values defined for the cells of the M-matrix
botella2015unifyingbigDM