GVC
Well-Known Member
I think you can take that theory a step further, and talk about the distribution of points scored, especially if player props lines are at or above players' scoring averages. I'd guess it's more likely a player scores 10+ points over his average than 10+ points under his average (especially for players with low averages). Here, the variance on scoring conditional on scoring above your average is greater than the variance on scoring conditional being below your average. Further, the mean conditional on being below your average is probably closer to your average than the mean conditional on scoring above your average. This all implies (well, mostly the second point) that players are more likely to score below their average than above their average (while also being more likely to have outliers above their average than below...in part because you can't score fewer than 0 points).
This can all be tested empirically, of course. Maybe I'll do this for Jazz players last season.
This can all be tested empirically, of course. Maybe I'll do this for Jazz players last season.