#' Fisher's test for comparing Pearson's correlation coefficients
#'
#' This function computes a p-value of the difference between
#' two Pearson's correlation coefficients
#'
#' @param cor1 Correlation coefficient
#' @param cor2 Correlation coefficient
#' @param N1 Sample size of cor1
#' @param N2 Sample size of cor2
#'
#' @keywords Humanzee
#'
#' @export
#' @examples
#' fisherCorrTest()
fisherCorrTest <- function(cor1, cor2, N1, N2) {
Z1 <- 0.5*log( (1+cor1)/(1-cor1) )
Z2 <- 0.5*log( (1+cor2)/(1-cor2) )
SE <- sqrt( 1/(N1-3) + 1/(N2-3) )
z <- (Z1 - Z2)/SE
pval <- 2*(1-pnorm(z))
list(Z1 = Z1, Z2 = Z2, SE = SE,
z = z, pval = pval)
}
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