Statistics and Scrabble, Together At Last - A.C. Thomas, Scientist acthomas.ca · Archived on 28 Oct 2011 · Originally posted on Pinboard

One goal of this was to figure out how much of the variance in score comes from the tile order and how much comes from the board, given that a tile order would be expected. It turns out to be about half-bag, half-board. [...] The blank is worth about 30 points to a good player. [...] The Q is a burden to whichever player receives it, effectively serving as a 5 point penalty.

Via kevan.