I didn't know that if you go to different baseball sites that they calculate WAR in a different manner
This is part of the problem with a made up stat. Saber types have tried for many years to be the first to come up with a single all inclusive number that measures a player's total worth.
When I was younger it was total average. I even dabbled in that one some including it in some spreadsheet calculations I kept for fun. But recently while researching WAR I came across an article by the person who came up with total average concept. He explained he did so at the request of a particular team owner who had him add extra points for a grand slam to account for the emotional lift he thought such an event might generate. This highlights a weakness of the single number analysis. It is impossible to measure the intangibles of what a player does on the field and definitely off the field. WAR will paint Michael Young as a drag on the Rangers last year. But more players have spoken about how the loss of Young will be a challenge to overcome this year than have spoken about the challenge of having lost Josh Hamilton.
It would be interesting to do an experiment. It will never happen but this would be fun to do. Go to all the baseball commentators and other media people that routinely quote WAR and ask each one to provide the formula on how it is calculated. My bet is 9 out of 10 could not do it, yet they quote it as if it was infallible. I would like to do the same with all the fans who also have come to quote WAR as if doing so settles any questions about which player present or past is better. I bet 99 of 100 or so could not do so without going to the internet. And as rudy points out even when one does that it depends on which site is visited.
I also believe any system that places fixed values on an event is flawed. Power production is important if you hit in middle of lineup. But is the power hitter who drives in a run any more valueable than the leadoff table setter who got on so the power hitter would have someone to drive in. Whether slugging or on base percentage should be awarded more points of WAR depends largely on what role that player has on a given team.
There was a thread in the ATG forum a while back where the person who tweaks the formula for pricing players discussed in general terms how the formula might be improved. Essentially that is the same discussion, what value to assign to a player based on what you know. How much absolute value is a HR, stolen base, walk, error, etc?