Optimal seperability of distribution



Hi,
I have the following problem that I am not sure how to best go about.
I have 2 populations (healthy and ill) and I then have a choice of
different measurement methods to try and seperate them. The measurement
is univariate.
What is the best way of characterizing the separability between the
healthy and sick populations?

I was thinking of ROC curves summarized by the integral of the ROC
curve, but i guess the problem is quite general in the sense that what
is needed is measure of how well the 2 distributions are seperated.
Any input appreciated!

Best regards
Soren

.



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