Using Win Shares to Guesstimate WAR
Since Rally has released his historic WAR values for the Retrosheet period (pitcher data from 1953 to current and hitter data from1955 to current) there has been many comparisons of players. The comparisons have been limited to only players that started their career after 1953/1955 due to incomplete data. I wanted to somewhat fill that void.
I took some batters and pitchers from Fangraphs and plotted there WAR vs Win Shares to get a regression equation to best estimate WAR when Win Shares is know. For Win Shares, I used this dataset provided by The Hardball Times. The system is not perfect by any means, but it will allow some comparisons of pre and post Retrosheet players. The following are the requirements and equations:
Requirements:
- Position WS = Fielding and Batting
- Pitching WS = Pitching
- Ignore pitcher batting unless it is the Babe as this will over punish the pitcher because they will have around 0 Win Shares hitting and this will lead to a negative WAR.
- I used only hitters with 300 at bats and 40 innings pitched. If players are below these values, they might have a low Win Share Total which would impact negatively the WAR values since low Win Share total would lead to a negative WAR, even if the batter didn't hit but a few times
Starting Pitcher (SP in Win Share download)
War = (WS - 3)/3
r-squared = 0.860
Relief Pitcher (RP in Win Share download)
WAR = (WS -1.8)/5
r-squared .81
Positional Players
(WS-9.3)/3 = WAR
r-squared = .8735
First, here a comparison of Bond's predicted vs actual WAR. His totals add up 174 WAR actual and 167 predicted WAR.

Here is an example of what they can be used for as in filing in the gaps in Bob Lemon's career for the time before 1954.

As always I am open to suggestions and comments.
14 comments
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Comments
This is incredible.
Now I’d love to see Mantle’s full career, Teddy Ballgame, and of course The Babe.
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by Jack Moore on Jun 26, 2009 12:42 AM EDT reply actions 0 recs
Amazing
St. Louis relievers... defying win expectancy since 2008
http://www.drivelinemechanics.com/
by vivaelpujols on Jun 26, 2009 1:23 AM EDT reply actions 0 recs
Do we use Win Shares or Total WS on the spreadsheet?
by thoran85 on Jun 26, 2009 1:37 AM EDT reply actions 0 recs
if I did the caluclations correct here are a few players:
Musial: somewhere between 113 – 135 WAR
Wiliams: somewhere between 115 – 129 WAR
BTW depending on the WS data you are suppose to use the calculate the data, Williams had 6 striaght seasons above 10 WAR and his 1946 season was amazing
by thoran85 on Jun 26, 2009 1:50 AM EDT up reply actions 0 recs
for hitters you need to add the Batting and Fielding columns together, don't use the Total WS
Jeff Zimmerman - Protecting the world from RBI's and Wins from my mom's guest house.
by Jeff Zimmerman (TucsonRoyal) on Jun 26, 2009 10:20 AM EDT up reply actions 0 recs
Very nice
You may want to see how this compares to Dan Rosenheck’s work too over at the Hall of Merit.
by Dan Turkenkopf on Jun 26, 2009 7:32 AM EDT reply actions 0 recs
This is so hot.
There might be a graph of the day comparing some old-school players with new-school players.
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by Sky Kalkman on Jun 26, 2009 8:29 AM EDT reply actions 0 recs
Pujols and Gherig please
St. Louis relievers... defying win expectancy since 2008
http://www.drivelinemechanics.com/
by vivaelpujols on Jun 26, 2009 8:32 AM EDT up reply actions 0 recs
Tangent...
I’m messing around with measures of “career impressiveness” (like for HoF discussion) where big seasons count proportionally more than a bunch of lesser seasons. Based simply on WAR^2 (per season and then added up), Pujols ranks 12th among everyone in Rally’s database. Mickey Mantle, Ron Santos, Ernie Banks and ARod also see large boosts over simply using cumulative WAR. Rafael Palmeiro and Tony Gwynn take hits versus using cumulative WAR.
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by Sky Kalkman on Jun 26, 2009 10:31 AM EDT up reply actions 0 recs
I'm doing something like that also with Pennants Added
It’s on a different scale than WAR but it rewards great seasons pretty significantly.
St. Louis relievers... defying win expectancy since 2008
http://www.drivelinemechanics.com/
by vivaelpujols on Jun 26, 2009 3:35 PM EDT up reply actions 0 recs
Done
Looks almost exactly like Win Shares Above Bench, including the stronger adjustment for starting pitchers. It would be nice if you’d acknowledge that this kind of work has been done before.
by studes on Jun 27, 2009 3:47 PM EDT reply actions 0 recs
When has does WSAB = WAR?
Jeff Zimmerman - Protecting the world from RBI's and Wins from my mom's guest house.
by Jeff Zimmerman (TucsonRoyal) on Jun 27, 2009 3:55 PM EDT up reply actions 0 recs
Studes
Don’t you think this comment comes off pretty abrasive?
I’m not overly familiar with WSAB, because I don’t use WS to begin with, but come on, it’s not like Jeff’s scoping out the THT archives looking for ideas to mimic. And I would say the same thing to Jeff if he went on THT and told someone that a post about injuries “Looks a lot like my injury database on BTB”
Perhaps you didn’t mean anything like that, but it comes off that way and I really don’t think that’s fair to Jeff.
by R.J. Anderson on Jun 28, 2009 12:53 PM EDT up reply actions 0 recs
Oh crap
I was just about to start writing up my war position review. I’ll have to think about using this now to incorporate older-timers.
Thanks, though, this looks nice and useful. Are equations are within-season, right? I am wondering if you’d get a better fit if you prorated the “minus” part of your equations for playing time. That part of your equation is mostly accounting for the difference in the baseline, right?
And studes, you’re right that Jeff independently invented something very like WSAB (though with a slightly lower different baseline—replacement, not bench). But I agree with RJ that your comment was (or appears) unnecessarily abrasive to my eye. He probably should have cited that work, but it’s also not the case that you can immediately use WSAB to do what he wants to do here. A modification would be necessary.
-j
My blog: Basement-Dwellers.com
by JinAZ on Jun 29, 2009 4:22 PM EDT reply actions 0 recs

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