Quote Originally Posted by JeffreyGB
On a paired board, I'll be a bit more cautious unless I have a read on the player
When you have an overpair, you generally want the board to come up paired in some small rank, like 6's or 3's, since it's more difficult for an opponent to improve with a flop like this (the only remotely likely hands which will call a raise containing small ranks in them are pocket pairs, and it's unlikely after the flop has come up paired that an opponent was initially dealt what would now be four of a kind). When you're in a raised pot with a couple opponents before any action has taken place after the flop, you should be more confident when the board is paired in some small value than when it isn't. The only time you should be very concerned is when the board pair is in jacks or higher, or when your opponents aren't any good.