## Hellinger distance
H <- function(x, y, mv=NULL, md=F, ymax) {
if (is.null(mv)) {mv = max(max(x),max(y))}
## Hellinger distance if data is Discrete
level = seq_len(mv)
if (md == T) {
freqs = table(factor(x, levels=level), factor(ymax, levels=level))
} else {
freqs = table(factor(x, levels=level), factor(y, levels=level))
}
indep <- suppressWarnings( chisq.test(table(factor(x, levels=level),
factor(y, levels=level)))$expected )
# Bhattacharyya coefficient
BC <- sum(sqrt(as.vector(prop.table(indep)) * as.vector(prop.table(freqs))))
return(sqrt( 1 - BC ))
}
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