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#' Print results
#'
#' @param x the output model from fitting a network meta analysis/regression model
#' @param level credible level for interval estimation; set to 0.95 by default
#' @param HPD a logical argument indicating whether HPD intervals should be computed; if FALSE, equal-tail credible intervals are computed
#' @param ... additional arguments for print
#' @return No return value; print a summary of the output
#' @importFrom stats quantile sd
#' @export
"print.bayesnmr" <- function(x, level=0.95, HPD=TRUE, ...) {
if (inherits(x, "bsynthesis")) {
cat("\nCall:\n", paste(deparse(x$call), sep = "\n",
collapse = "\n"), sep = "")
} else {
cat("Bayesian Network Meta-Regression Hierarchical Models\nUsing Heavy-Tailed Multivariate Random Effects\nwith Covariate-Dependent Variances\n")
}
cat("\n")
cat("Model:\n")
cat(" (Aggregate mean)\n y_kt = x_kt'theta + tau_kt * gamma_kt + N(0, sigma_kt^2 / n_kt)\n")
cat(" (Sample Variance)\n (n_kt - 1) S^2 / sigma_kt^2 ~ chi^2(n_kt - 1)\n")
cat(" (Random effects)\n ")
cat("[gam | Rho,nu] ~ MVT(0, E_k' Rho E_k, nu)\n")
cat("Priors:\n")
cat(" theta ~ MVN(0, c01 * I_p), c01=", x$prior$c01, "\n")
cat(" phi ~ MVN(0, c02 * I_q), c02=", x$prior$c02, "\n")
cat(" p(sigma^2) ~ 1/sigma^2 * I(sigma^2 > 0)\n")
cat(" p(Rho) ~ 1\n")
cat("---------------------------------------------------\n")
cat("Number of studies: ", x$K, "\n")
cat("Number of arms: ", length(x$Outcome), "\n")
cat("Number of treatments: ", x$nT, "\n")
digits <- max(3, getOption("digits") - 3)
theta <- list()
phi <- list()
gam <- list()
sig2 <- list()
Rho <- list()
param <- x$mcmc.draws$theta
if (x$scale_x) {
xcols <- ncol(x$XCovariate)
tlength <- nrow(param)
trlength <- tlength - xcols
tscale <- c(unname(attr(x$XCovariate, "scaled:scale")), rep(1, trlength))
} else {
tlength <- nrow(param)
tscale <- rep(1, tlength)
}
theta.post <- vapply(1:x$mcmc$nkeep, function(ikeep) {
param[,ikeep] / tscale
}, FUN.VALUE = numeric(tlength))
theta$mean <- rowMeans(theta.post)
theta$sd <- apply(theta.post, 1, sd)
phi$mean <- rowMeans(x$mcmc.draws$phi)
phi$sd <- apply(x$mcmc.draws$phi, 1, sd)
gam$mean <- rowMeans(x$mcmc.draws$gam)
gam$sd <- apply(x$mcmc.draws$gam, 1, sd)
sig.level <- 1 - level
if (HPD) {
theta.hpd <- mhpd(theta.post, level)
theta$lower <- theta.hpd[,1]
theta$upper <- theta.hpd[,2]
phi.hpd <- mhpd(x$mcmc.draws$phi, level)
phi$lower <- phi.hpd[,1]
phi$upper <- phi.hpd[,2]
} else {
theta$lower <- apply(theta.post, 1, function(xx) quantile(xx, prob = sig.level/2))
theta$upper <- apply(theta.post, 1, function(xx) quantile(xx, prob = 1-sig.level/2))
phi$lower <- apply(x$mcmc.draws$phi, 1, function(xx) quantile(xx, prob = sig.level/2))
phi$upper <- apply(x$mcmc.draws$phi, 1, function(xx) quantile(xx, prob = 1-sig.level/2))
}
theta_print <- cbind(theta$mean, theta$sd, theta$lower, theta$upper)
phi_print <- cbind(phi$mean, phi$sd, phi$lower, phi$upper)
p_print <- rbind(theta_print, phi_print)
if (HPD) {
colnames(p_print) <- c("Post.Mean", "Std.Dev", "HPD(Lower)", "HPD(Upper)")
} else {
colnames(p_print) <- c("Post.Mean", "Std.Dev", "CI(Lower)", "CI(Upper)")
}
rownames(p_print) <- c(rownames(theta_print),
paste0("phi", 1:length(phi$mean)))
p_print <- round(p_print, digits=digits)
print.default(p_print, print.gap = 2)
cat("---------------------------------------------------\n")
if (HPD) {
cat("*HPD level: ", level, "\n")
} else {
cat("*Credible level: ", level, "\n")
}
invisible()
}
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