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#' Extract DIC from a Fitted Bayesian Model
#'
#' Computes the Deviance Information Criterion (DIC) and the effective
#' number of parameters for Bayesian generalized linear models fitted
#' via \code{glmb()} or \code{rglmb()}. The DIC, introduced by
#' \insertCite{Spiegelhalter2002}{glmbayes}, provides a Bayesian analog to the
#' AIC \insertCite{Akaike1974}{glmbayes}.
#'
#' @param fit A fitted model of class \code{"glmb"} or \code{"rglmb"}.
#' @param ... Additional arguments passed to or from methods.
#'
#' @return A named numeric vector with components:
#' \describe{
#' \item{pD}{Estimated effective number of parameters}
#' \item{DIC}{Deviance Information Criterion}
#' }
#'
#' @seealso \code{\link{summary.glmb}}, \code{\link{glmb}}, \code{\link{glmbayes-package}},
#' \code{\link{rglmb}}, \code{\link{rlmb}}, \code{\link{lmb}};
#' \code{\link[stats]{extractAIC}} for the classical AIC computation on \code{lm}/\code{glm} fits
#' @references
#' \insertAllCited{}
#' @importFrom Rdpack reprompt
#' @example inst/examples/Ex_extractAIC.glmb.R
#'
#' @rdname extractDIC
#' @export
#' @method extractAIC glmb
## This method follows stats::extractAIC() conventions while returning DIC
## components for Bayesian fits. See inst/COPYRIGHTS.
extractAIC.glmb <- function(fit, ...) {
c(pD = fit$pD, DIC = fit$DIC)
}
#' @rdname extractDIC
#' @export
#' @method extractAIC rglmb
extractAIC.rglmb <- function(fit, ...) {
fit2 <- summary(fit)
extractAIC(fit2, ...)
}
#' @rdname extractDIC
#' @export
extractDIC <- function(fit, ...) UseMethod(extractAIC)
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