I quickly plotted the numbers for 2012
This is using FanGraphs' numbers
A couple of things to remember:
FanGraphs' replacement level is about 43 wins
FanGraphs' pitcher war is based on FIP not runs allowed
for a single season, one should expect more error as wins and losses will compound as one team beats another
The model still matches real life observations very well:
The expected intercept is at 43. The observed intercept is at 44.9
The expected slope is 1. The observed slope is .958
Then, I randomly selected 30 teams.
I did this by using the Random Integer Generator at Random.org
I got the following numbers
I used these numbers to select the teams.
The first group of numbers was for 2012
The second group of numbers was for 2011
The third group of numbers was for 2010
So, for example, the first random number was 26. This was the 26th team in the 2012 set which was the Colorado Rockies with 30 WAR and 64 wins. I continued like this for each group.
Unfortunately, I found the random number generator sometimes produced the same number within a run. When this happened I skipped that number and moved onto the next team, leaving that slot temporarily blank. I then ran the generator for a forth time and got the following numbers
I used these to fill in the blanks. Using the first two numbers to fill in the missing slots in 2012, the second two for 2011 and the third two for 2010.
That gave me this data set.
So, for the sample set the equation is: y=1.0367+40.731 with an R2 of .71972
compared to an expected equation of: y=1+43
Not as exact as the data from the article, but, still enough to show that WAR is measuring what it claims to measure.
*probably could have done this much more smoothly...but...it's late...and once I started I didn't want to start over.
Last edited by filihok; 02-12-2013 at 10:41 PM.
Thanks for all the work.
Regarding the influence of catchers on ERA: I know this is almost impossible to quantify because there is no catching rotation and sometime the backup catches always the same pitcher so the numbers are likely skewed but does anyone know what the leagues ERA numbers of of games caught by starting catchers vs backups are. Is there a difference at all ( well the backup is not always worse- some teams have a good catcher that cannot hit at backup but it might give an idea overall )?
I now have my own non commercial blog about training for batspeed and power using my training experience in baseball and track and field.
http://www.baseball-reference.com/ab...position.shtml You mean this, I reckon?
under Rpos, Positional Adjustment Runs
Last edited by drstrangelove; 02-28-2013 at 12:22 AM.
I mean if you divide the above stats by the number of PA's and compare them they will be similar
In 2012 per 700 PA's
Catchers: 155 hits, 31 doubles, 1 triple, 21 home runs, 60 walks, 139 K's
Non-Catchers: 161 hits, 31 doubles, 4 triples, 19 home runs, 55 walks, 138 K's
Unfortunately, I can't easily do this for WAR
According to FanGraphs (which doesn't fully separate out stats for by position. For example, all of Mike Napoli's stats are included under both catcher, first base and DH since he played all those positions) catchers provided 3.0 WAR per 700 PA's compared to 2.5 WAR for the rest of the league.
Again, no evidence that catchers are shortchanged by WAR