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#' Distance correlation T-test
#' It uses the result of U-statistic distance correlation to test independence for
#' high dimensional data
#' @param x data of x
#' @param y data of y
#' @importFrom stats pt
#' @examples
#' n = 200
#' x = rnorm(n)
#' y = rnorm(n)
#' res = dcor.ttest(x,y)
#' @export
dcor.ttest<-function(x,y){
if(!is.matrix(x)) x = as.matrix(x)
if(!is.matrix(y)) y = as.matrix(y)
if(nrow(x)!=nrow(y)) stop("x and y should have same numeber of rows.")
stat = dcor(x,y,'U')
n = nrow(x)
v = n*(n-3)/2
tstat = sqrt(v-1)*stat/sqrt(1-stat^2)
df = v-1
pval = 1-pt(tstat,df)
res = list(statistic=tstat, dcor=stat, df=df, p.value = pval)
return(res)
}
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