Question for those who like math. Topic

Total Nerd Alert:

Assuming normalized distribution of ratings in HBD, I totaled the z scores of the average ratings for each position (adjusted so that 1b would come out to 1.00) and here's what I got:

1B 1.00
2B 5.47
3B 5.30
SS 11.13
LF 2.38
CF 7.78
RF 3.89


12/7/2011 10:02 AM
Posted by MikeT23 on 12/7/2011 9:59:00 AM (view original):
I think we were mostly mocking you.   At least I know I was.
Well I'll keep tarding up MG and you can keep mocking me over subjects you don't understand.

Cool?
12/7/2011 10:26 AM
Are you still mad because your bowl of dicks got cold before you finished them?   

Don't try to eat so many at once next time.
12/7/2011 10:37 AM
Any evidence that there is a diminishing return element to PC.  For example is the value of 70 over 60 greater than 80 over 70?  I used to play GD exclusively and there was diminishing returns for somethings in that game, but I have not seen it HBD.  Actually I have seen some evidence in other numbers I have ran that there are some threshold effects somewhere between 85-90.  In order to get my formula for estimated runs created to work out with less error I had to give a slight bump to anyone who had a score greater than 90 in vs. R, contact, power, and speed.  Thoughts?
12/8/2011 1:34 AM
Anecdotally, it seems to me a bit more logarithmic than linear also.
12/8/2011 3:26 PM
I'm positive that in a pitchers park, the difference between an 85 and 50 PC with an above average arm all in is about half a run in ERA, which is 81 runs a season.

Their is no way that can be correct. 81 runs is a HUGE. In a neutral park a 80 across the board hitter only creates 100 to 110 runs a season in 625 PAs.
12/8/2011 8:22 PM
Posted by dwoolery on 12/8/2011 3:26:00 PM (view original):
Anecdotally, it seems to me a bit more logarithmic than linear also.
I would disagree.  I've been unable to find a consistent, measurable effect of PC.....even when there's a difference of 30 or 40 points of PC.  If the rating scale was more logarithmic, I think the effect of PC would be more obvious.
12/8/2011 9:42 PM
Posted by mrauseo on 12/8/2011 8:22:00 PM (view original):
I'm positive that in a pitchers park, the difference between an 85 and 50 PC with an above average arm all in is about half a run in ERA, which is 81 runs a season.

Their is no way that can be correct. 81 runs is a HUGE. In a neutral park a 80 across the board hitter only creates 100 to 110 runs a season in 625 PAs.
If only there was a way to check such a thing.  

Oh, wait, there is.   Stats last forever.   Check them. 

Then come back and say "Small sample size".   

But I'll tell you right now that there is a pattern.    And it really is noticable to those who check.
12/8/2011 9:46 PM
Posted by jvford on 12/8/2011 9:42:00 PM (view original):
Posted by dwoolery on 12/8/2011 3:26:00 PM (view original):
Anecdotally, it seems to me a bit more logarithmic than linear also.
I would disagree.  I've been unable to find a consistent, measurable effect of PC.....even when there's a difference of 30 or 40 points of PC.  If the rating scale was more logarithmic, I think the effect of PC would be more obvious.
Maybe not in PC, but there does seem to be a bigger difference between 90 and 100 in some categories than 80 and 90, but it could be just noise.
12/8/2011 11:03 PM
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