gini_coeff_trap <- function(score_data) {
names(score_data) <- c("score", "bad")
tot_area <- score_data %>%
mutate(good = 1-bad) %>%
group_by(score) %>%
summarise(bad = sum(bad),
good = sum(good)) %>%
mutate(cumsum_bad = cumsum(bad)/sum(bad),
cumsum_good = cumsum(good)/sum(good),
bad_inc = c(cumsum_bad[1],diff(cumsum_bad)),
good_inc = c(cumsum_good[1],diff(cumsum_good)),
triangle = bad_inc*good_inc/2,
rectangle = bad_inc*cumsum_good,
area = rectangle-triangle) %$%
sum(area)
return(1-2*tot_area)
}
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