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#' plot a Blend object
#'
#' plot the identified varying effects
#'
#' @param x Blend object.
#' @param sparse sparsity.
#' @param prob probability for credible interval, between 0 and 1. e.g. prob=0.95 leads to 95\% credible interval
#' @usage plot_Blend(x, sparse, prob=0.95)
#' @return plot
#' @seealso \code{\link{Blend}}
#'
#' @examples
#' data(dat)
#' fit = Blend(y,x,t,J,kn,degree)
#' plot_Blend(fit,sparse=TRUE)
#'
#' @export
plot_Blend=function(x, sparse,prob=0.95){
q = x$basis$q
kn = x$basis$kn
degree = x$basis$degree
t = x$basis$t
BI = x$burn.in
s = x$basis$m
u = x$basis$u
adj=0.1
varName=1:(s+1)
xlab="Time"
lt = (1-prob)/2; ut= 1-lt
n = length(u)
u.plot = seq(min(u), max(u), length.out = n)
u.star = seq(0, 1, length=kn+2)[-c(1,kn+2)]
Knots.star = as.numeric(stats::quantile(u.plot, u.star))
pi.star = splines::bs(u.plot, knots=Knots.star, intercept=TRUE, degree=degree)#[,1:(q)]
pi.star = cbind(1,pi.star[,-1])
selected = selection(x,sparse=sparse)
ind.V = selected$indices$Varying
if(length(ind.V)>0){
temp = matrix(rbind(x$posterior$GS.beta, matrix(x$posterior$GS.eta, ncol = s)), ncol = s*q)
}
for(j in c(0, ind.V)){
if(j==0){
coeff.mat = pi.star %*% t(x$posterior$GS.alpha[-c(1:BI),])
}else{
last = j*q; first = last-q+1
coeff.mat = pi.star %*% t(temp[-c(1:BI),first:last])
}
pe = apply(coeff.mat, 1, stats::median)
LL = apply(coeff.mat, 1, function(t) stats::quantile(t, lt))
UL = apply(coeff.mat, 1, function(t) stats::quantile(t, ut))
data <- data.frame(t,pe,LL,UL)
p <- ggplot2::ggplot(data, ggplot2::aes(x=t)) +
ggplot2::geom_line(ggplot2::aes(y = pe), color = "gray35", size=1) +
ggplot2::geom_line(ggplot2::aes(y = LL), color="steelblue", linetype=2, size=1, alpha=0.9) +
ggplot2::geom_line(ggplot2::aes(y = UL), color="steelblue", linetype=2, size=1, alpha=0.9) +
ggplot2::labs(title=varName[j+1],
x= xlab,
y= bquote(~ beta[.(j)] ~ (t)))
print(p)
}
}
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