I’m not sure what area of maths this comes under.
But basically I play a lot of chess, and one thing I’ve noticed is that wins and losses tend to come in streaks. This is probably because my ability fluctuates day to day, and also because of the psychology; how wins and losses affect your confidence and frustration level going into the next game.
But how can I measure the “lumpiness” of the data? How do I compare “WWWWLLLL” to “WLWLWLWL”?
Bonus points for including the concept of ELO. Chess servers pair players within a certain ELO range; this should, all else being equal, reduce the likelihood of streaks, since each win puts you into a stronger pool of opponents, and vice versa.