I can type a lot more accurately and faster if I am not looking at the screen while I'm doing it.
I think perhaps the reading portions of my brain interrupt the typing portions of my brain. So bits of my brain are pulling Scrabble tiles out of the bag and other bits are reading out "What do you get if you multiply ... ?" while yet third portions are noting that I've spelled Libray with one R again.
And if I watch the beige wall or the clock or anything other than the screen or my hands, I get along much better. Probably because I'm concentrating more attention on which keys my hands are actually touching. If I concentrate too hard, though, I get into the centipede's dilemma and get all fouled up. So there's a trick to it.