i've been pricing NBA a lot lately and i found i have a TON of unders. this happens for NFL too. i want to say at least 80% unders. should i find 50/50 overs and unders? maybe a few more unders because fish bet overs?
this got me thinking about using median instead of average. that way i'm not factoring in 2 point NBA games that Carmelo Anthony has. is the only reason you use average is to price props very quickly? a quantity vs quality argument? for NFL i'm able to look through passing yards very quickly to see if there is any low yardage games i should discount or adjust for. for NBA it's not quite as easy due to more games. is there any way you adjust when you price for either sport? the following is an example that was the nail in the coffin :
carmelo anthony
23.9 season mean +1.1
25 season median
26.3 10 games mean +3.2
29.5 10 games median
23.7 20 games mean +2.3
26 20 games median
is season mean really the best to use hands down when normalizing NBA player points? would you ever consider 10 games median or any other of these? what about weighting season mean and 10 game median together? 1.1 point difference between season mean and median is enormous! i know this is a small sample but here are two more examples :
dwayne wade
25.1 season mean +0.9
26 season median
29.4 10 game mean +1.6
31 10 game median
29.25 20 game mean +0.25
29.5 20 game median
lebron james
25.4 season mean -.4
25 season median
28.6 10 game mean -3.1
25.5 10 game median
26.6 20 game mean -1.1
25 20 game median
kevin love was a 2.3 point difference between mean and median.
lastly, is there a minimum edge you look for when calculating props to overcome these sample errors?