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# MAUC variance estimation based on block-bootstrap approach.
MAUC_var<-function(Y,tmsSec,Nboot=50,Num=10,alpha=0.3)
{
Gut = Y
if(sum(Gut==15,na.rm = T)>0)
{
MAUC_imput = MAUC_withinvar = vector()
for(i in 1:Num)
{
Gut_MI = Gut
Gut_MI[(Gut_MI==15)] = runif(sum((Gut_MI==15)),0,15)
Gut_hat = predict(loess(Gut_MI~tmsSec, span=alpha ))
MAUC_imput[i] = mean(Gut_hat)
Bts = blkboot(Gut_MI,R=Nboot)
MAUC_withinvar[i] = var(apply(Bts,2,function(x){ y = x; mean(predict(loess(y~tmsSec, span=alpha ))) }))
}
return( var(MAUC_imput)*(1+1/Num) + mean(MAUC_withinvar) )
}else
{
Bts = blkboot(Gut,R=Nboot)
return( var(apply(Bts,2,function(x){ y = x; mean(predict(loess(y~tmsSec, span=alpha ))) })) )
}
}
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