ref.summary: Parameter Summaries for MCMC Analysis

In ref.ICAR: Objective Bayes Intrinsic Conditional Autoregressive Model for Areal Data

Parameter Summaries for MCMC Analysis

Description

Takes a matrix of MCMC chains, iterations, and acceptance values to return posterior summaries of the parameters, including posterior medians, intervals, and acceptance rates.

Usage

ref.summary(
  MCMCchain,
  tauc.MCMC,
  sigma2.MCMC,
  beta.MCMC,
  phi.MCMC,
  accept.phi,
  accept.sigma2,
  accept.tauc,
  iters = 10000,
  burnin = 5000
)

Arguments

MCMCchain	Matrix of MCMC chains for the ICAR model parameters.
tauc.MCMC	MCMC chains for the spatial dependence parameter.
sigma2.MCMC	MCMC chains for the variance of the unstructured random effects.
beta.MCMC	MCMC chains for the fixed effect regression coefficients.
phi.MCMC	MCMC chains for the spatial random effects.
accept.phi	Final acceptance number for spatial random effects.
accept.sigma2	Final acceptance number for variance of the unstructured random effects.
accept.tauc	Final acceptance number for the spatial dependence parameter.
iters	Number of MCMC iterations in MCMCchain.
burnin	Number of MCMC iterations discarded as burn-in for MCMCchain.

Value

Parameter summaries

beta.median	Posterior medians of the fixed effect regression coefficients.
beta.hpd	Highest Posterior Density intervals for the fixed effect regression coefficients.
tauc.median	Posterior median of the spatial dependence parameter.
tauc.hpd	Highest Posterior Density interval for the spatial dependence parameter.
sigma2.median	Posterior median of the unstructured random effects variance.
sigma2.hpd	Highest Posterior Density interval for the unstructured random effects variance.
tauc.accept	Final acceptance rate for the spatial dependence parameter.
sigma2.accept	Final acceptance rate for the unstructured random effects variance.

Author(s)

Erica M. Porter, Matthew J. Keefe, Christopher T. Franck, and Marco A.R. Ferreira

Examples

## Refer to the vignette attached to the package.

ref.ICAR documentation built on Aug. 22, 2023, 9:12 a.m.