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#' @title Normal-theory two sample scorestatistic.
#' @description Calculates the p-value from the normal approximation to the permutation distribution of a two-sample score statistic.
#' @param scores scores of the data.
#' @param group numeric or character vector of group identities.
#' @param correct half the minimal distance between two potential values of the score statistic.
#' @return Object of class htest containing the p-value.
#' @export
genscorestat<-function(scores,group,correct=0){
N<-length(group); MV<-table(group)
refg<-names(MV)[1]
if(is.numeric(group)) refg<-as.numeric(refg)
if(length(MV)!=2){
message("genscorestat works only for two groups")
out<-NA
}else{
abar<-mean(scores)
ahat<-mean(scores^2)
vv<-MV[2]*MV[1]*(ahat-abar^2)/(N-1)
ee<-MV[1]*abar
stat<-structure(sum(scores[group==refg]),.Names= "Gaussian")
correct<-abs(correct)*sign(stat-ee)
parameters<-structure(c(ee,vv),.Names=c("mean","variance"))
out<-list(null.value=structure(0, .Names = "median difference"),
alternative="two-sided",method="General Score Test",data.name=NULL,
statistic=stat,parameters=parameters,
p.value=2*pnorm(-abs(stat-ee-correct)/sqrt(vv)))
class(out)<-"htest"
}
return(out)
}
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