Say that I had upvotes and downvotes for a document. I'm trying to come up with a good "controversialness" measure from this. When both upvotes and downvotes are large, then this measure should be large.
This is my very naive attempt at doing this:
Agreement = Upvotes/(Upvotes + Downvotes)
Disagreement = Downvotes/(Downvotes + Upvotes)
Controversialness = ABS(Agreement - Disagreement)
Does anyone have an idea on how I could measure the controversialness of a post?