Mmodel_iid: Spatially non-structured multivariate latent effect

In bigDM: Scalable Bayesian Disease Mapping Models for High-Dimensional Data

Spatially non-structured multivariate latent effect

Description

M-model implementation of the spatially non-structured multivariate latent effect using the rgeneric model of INLA.

Usage

Mmodel_iid(
  cmd = c("graph", "Q", "mu", "initial", "log.norm.const", "log.prior", "quit"),
  theta = NULL
)

Arguments

cmd	Internal functions used by the rgeneric model to define the latent effect.
theta	Vector of hyperparameters.

Details

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 \insertCitebotella2015unifying;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

Value

This is used internally by the INLA::inla.rgeneric.define() function.

References

\insertRef

botella2015unifyingbigDM

bigDM documentation built on Sept. 11, 2024, 9:05 p.m.