#'@title Pooling Function for PANIC (2010)
#'
#'@description This function find the P values for the pooled test in PANIC (2010)
#'
#'@usage pool(p_values,test_values)
#'
#'
#'@param p_values a data frame containing the p values
#'
#'@param test_values a matrix of adf test values to be pooled
#'
#'@return adf31a a numeric vector of the fisher sum of the p-values
#'
#'@return adf31b a numeric vector containing the critical value of the pooling test
#'
#'@export
pool <- function(p_values, test_values) {
p_values <- as.matrix(p_values)
test_values <- as.matrix(test_values)
N <- ncol(test_values)
pval <- matrix(0, N, 1)
for (i in 1:N) {
aa <- abs(p_values[, 1] - test_values[, i])
j1 <- min(aa)
j2 <- which.min(aa)
pval[i, ] <- p_values[j2, 2]
}
pvala <- -2 * sum(log(pval))
pvalb <- (pvala - 2 * N)/sqrt(4 * N)
output <- list(adf31a = pvala, adf31b = pvalb)
return(output)
}
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