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#' Calculates a statistic for measure of association in cross-tabulation
#'
#' @param x A matrix or data frame
#' @return Returns a list of statistics
#' @description This function is called by \code{\link{tablesomersDC}} function.
#'
compADPQ = function(x)
{
nr = nrow(x)
nc = ncol(x)
Aij = matrix(0, nrow=nr, ncol=nc)
Dij = matrix(0, nrow=nr, ncol=nc)
for (i in 1:nr){
for (j in 1:nc){
Aij[i,j] = sum(x[1:i,1:j]) + sum(x[i:nr,j:nc]) - sum(x[i,]) - sum(x[,j])
Dij[i,j] = sum(x[i:nr,1:j]) + sum(x[1:i,j:nc]) - sum(x[i,]) - sum(x[,j])
}
}
P = sum(x*Aij)
Q = sum(x*Dij)
return(list(Aij=Aij, Dij=Dij, P=P, Q=Q))
}
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