there are some requirements on that in the design document, mainly on the stats page and with table(s) should be shown (top-3, your position, yp-1, yp+1), and of an option to query which terms you contributed.
There was also some less urgen requirement in accessing the stats of a game. one thing that I found 'confusing' is that after the 2-player game against you, I still see the score of the previous game I played. I can deduce I don't see the results of the game against you, because you haven't finished playing, but I think the end users may not get that point. is there an easy way to say 'your opponent is not finished playing'? or something along that line? (to give user feedback that there's no update yet) And then later on saying, 'the result is on your stats page' or something. or that a user can retrieve the stats on the stats page of the last 1, 2, 5, 10 games played? (brainstorming a bit here)
btw, the button labeling fixing introduced a layout issue regarding stats on the main page; see screenshot attached.