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#' Bootstrap Alternative to Vasicek Test.
#' @description Creates 100(1-alpha) percent bootstrap percentile confidence intervals as an alternative to the Vasicek test.
#' @import boot
#' @param segment - The score groupings.
#' @param target - The binary target variable.
#' @param bootsamp - How many bootstrap samples to be computed. When bootsamp is too low, a warning will be produced.
#' @param grp - An integer value of how the segments are grouped.
#' @param alpha - Confidence level.
#' @param lower - Set equal to 1 if calculating a lower bound.
#' @examples
#' data("vasdata")
#' vas.level=vastol(segment=vasdata$segment,target=vasdata$response
#' ,bootsamp=500,grp=10,alpha=0.99,lower=1)
#' @references
#' [1] Glennon, D., ``Managing Model Risk in Retail Scoring," Credit Risk Analysis Division Office of the Comptroller of the Currency, September 2012.
#' @export
vastol <-function(segment,target,bootsamp,grp,alpha,lower)
{
a="seg"
b="trg"
data1=setNames(data.frame(segment,target), c(a,b))
dataset <- data.frame(Segment=integer(),
ConfidenceBound=double(),
ObservedRate=double(),
stringsAsFactors=FALSE)
for(j in seq(from=min(segment), to=max(segment), by=grp))
{
###############################################################################
################ SEGMENT DATA SET #######################################
###############################################################################
data2=data1[which(data1$seg==j),]
###############################################################################
################ TOLERANCE FOR RATE #######################################
###############################################################################
Rate <- function(d, i)
{
d2 <- d[i,]
return(sum(d2$trg)/length(d2$trg))
}
Rateboot = boot(data2,Rate,bootsamp)
RateCI=boot.ci(Rateboot, conf = alpha, type ="perc")
if(lower==1){
bound_Rate=RateCI$percent[4]
} else {
bound_Rate=RateCI$percent[5]
}
obsRate=Rateboot$t0
info=c(j,bound_Rate,obsRate)
for(x in 1:ncol(dataset))
{
dataset[(j+1),x]=info[x]
}
}
na.omit(dataset)
}
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