Are there any games that get the player "think like a statistician"?
For example, lightbot gets you to "think like a programmer" (in a very basic way). Are there any games - designed for entertainment or teaching - that can help get one comfortable with basic concepts like correlation, p-values, least squares, variance, different kinds of probability distributions, regression to the mean ...
One example would be this correlation-guessing game.
(I'm asking because I'm thinking about developing such an application, and am trying to get a broad view of what prior work exists)