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#' Ratio of within and between tropical measures for tropical hierarchical
#' clusters
#'
#' Ratio of within and between cluster tropical measures for a set hierarchical
#' clusters
#' @param A matrix of tropical points; rows are points
#' @param V list of clusters where each cluster is defined as a matrix
#' @param method method to use for within cluster measure; mean or max
#' @return vector of ratios for each cluster
#' @references David Barnhill, Ruriko Yoshida (2023). Clustering Methods Over
#' the Tropically Convex Sets.
#' @author David Barnhill \email{david.barnhill@@nps.edu}
#' @export
#' @examples
#' har<-rbind(Sim_points[1:20,],Sim_points[51:70,])
#'
#' V<-Tropical.HC.AGNES(har, method=mean)
#' inds<-V[[2]][[38]]
#' cluster.ratio_HC(har,inds,method=mean)
cluster.ratio_HC<-function(A,V,method=mean){
wits<-c()
for (i in 1:length(V)){
wit<-trop_wi_dist(A[V[[i]],],method=method)
wits<-append(wits,wit)
}
bets<-over_bet_HC(A,V)
rats<-c()
for(i in 1:length(V)){
bet_p<-bets[-i]
rat<-wits[i]/mean(bet_p)
rats<-append(rats,rat)
}
return(rats)
}
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