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May 8, 2019 at 9:34 history edited Calimo CC BY-SA 4.0
$d$ not used anywhere else, remove to avoid confusion.
May 8, 2019 at 9:33 comment added Calimo @ErKanns $d$ is the data point $d_i \in D$. The threshold $t$ may or may not correspond to a value in $D$. There can be cases where lower values indicate a positive test, although that's less common.
May 8, 2019 at 9:20 comment added user247002 I am sorry, what is d? The sentence "where higher data values d are indicative of positive results" seems to me to imply that you talk about the treshold but you call the treshold later on t.
May 8, 2019 at 9:17 comment added Calimo @ErKanns No, D is your data, and t is the decision threshold you use to classify this data as positive or negative.
May 8, 2019 at 9:11 comment added user247002 I am confused. t is the treshold if I get it right. But why does it say "where higher data values d are indicative of positive results" not "where higher data values t are indicative of positive results"? Also D is the set of all thresholds t? If so, why does it say that D∉±∞ if later we talk about (-) ∞ thresholds t?
May 8, 2019 at 9:05 history edited Calimo CC BY-SA 4.0
Replace x with d to avoid confusion with x,y of plot.
May 8, 2019 at 8:56 comment added Calimo Ok the confusion here is that I am using x to refer to your data, and not the x in the plot. Let me rephrase it with an other letter like d for data.
May 8, 2019 at 8:39 comment added user247002 You say In this case the mapping from a value x to a (FPR,TPR) is unique. This seems to contradict to the answer from boulder because in that answer one gets different y (TPR) values for the same x (FPR) value. But the arguments from boulder seem to be correct to me which makes me confused.
May 7, 2019 at 19:51 vote accept CommunityBot
May 7, 2019 at 20:09
May 7, 2019 at 19:06 history edited Calimo CC BY-SA 4.0
added 206 characters in body
May 7, 2019 at 18:40 history answered Calimo CC BY-SA 4.0