by yak1407 » Thu Apr 06, 2006 1:51 pm
Not being a mathematician, I'm not sure about your point about IID.
However, it does not take much to skew statistics.
Take Dave Parker, his aggregate real life average is .300, he gets 3 hits for every 10 ABs, not plate appearance.
Right now, he has four hits in 40 ABs.
In order to get up to .300, he needs 11 his in his next 10 ABs, a statistical improbability.
So let's give him 20 ABs to do it. Now needs 16 hits in 20 ABs.
A more reasonable expectation might be 26 hits in his next 60 ABs, but than means he needs to hit .460 over that period.
If he hits .300 over his next 60 ABs, his aggregate average, he gets 18 hits and has a batting average of .220 after the magical 100 ABs mark and I'm looking at cutting him even though for over half of those ABs he performed right at his median performance.
The only thing that would change my expectations for Parker at that point is if I learned that I had say his '79 card. Then, even though he's only hitting .220, I'm expecting him to bat .310 and will probably stay with him.
But my final decision after 100 ABs will tend to go more with his actual performance.
But what I should really be looking at is his last 10 games and his potential because if the law of averages works out, he's have some hot streaks to get up to his normal level.
But, as my Lou Whitaker and Reggie Jackson examples show, that doesn't necessarily happen. If I had assessed them on their actual performane, I may have gone looking for added performance from other players.