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Subsumed comments on Mammography problem from 'Intro to Bayes' in my own words/picture - Less Wrong
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I really like this sieve approach. I feel a big improvement would be to show the output of the sieve as two boxes (red and blue) as well to help emphasize visually just how many false+ pass through and the relative size of false+ to all that pass through.
Check the update. I'm not quite sure how to describe visually what's "left" in the sieve. I don't want to show both test+ and false+ as outputs, exactly, because a sieve is suppose to keep some stuff back while letting other stuff through. But, I think the idea of the circles above makes things more clear than the bars in terms of what's going on as well as proportionality.
I do cover the equivalent of fasle+ verbally, but it would be nice to make it visually. I'll keep thinking about this. Part of it is that I was trying to set things up onto just one page. If I ditch that (it's already on two now), I could maybe spread things out even more and show what's left in the sieves for each group.
Thanks for the suggestion.