The Win Shares Baseline

December 16, 2003

A month ago, I wrote a couple of articles about Game Shares and Loss Shares.  I think I lost a few people along the way, and wound up with an idea that was much too complicated to explain.  And if you can’t explain an idea, it won’t get far.

So I went back to the drawing board and devised an easier way to determine appropriate Win Share baselines for each player.  Baselines are crucial for an adequate interpretation of Win Shares, as explained in the Loss Shares article.

This baseline is the number of Win Shares an individual player would produce if he were an average player (batting, fielding and pitching), given his playing time.  His actual Win Shares can be compared to the baseline to determine how many Win Shares he contributed, above or below an average player.

This average baseline, by the way, is certainly not the most appropriate baseline to use for player comparison—a replacement level baseline is much better.  However, to calculate replacement, one first needs a sense of average.  Replacement level will come later (if I dare!).

The method I’ve devised is based partly on a paper Charlie Saeger sent me called “expected Win Shares” and based partly on suggestions from Steve Rohde in the Historic Win Shares per PA commentary.  Also, I should extend my usual debt of gratitude to Tangotiger, who suggested this approach in the first place.

So here’s what I did to establish the Win Shares Baseline for each player:

I selected different playing time factors for the four types of Win Shares.
  - Plate Appearances per batter (with one adjustment, to be explained)
  - Innings and Save-equivalent innings per pitcher
  - Innings played per fielder (except pitchers)
  - Plate Apperances per batting pitcher (National League only)

The plate appearances for each batter were adjusted to account for team-by-team differences in plate appearances per game.  I had a little trouble getting my arms around this idea, but finally got there thanks to Steve Rohde’s help.

I then established the league baseline by dividing each Win Share type league total(batting/pitching/fielding) by playing time league total(PA/etc./etc.).

Thanks to Paul’s and Charlie’s suggestions in the comments below, I have also established separate specific batting baselines for National League pitchers and batters.  This establishes a more sensible baseline for batter and pitchers in the National League.

I then multiplied each individual player’s playing time of each type by the league average and Voila!—an average Win Shares baseline for each player, compiled across all types of Win Shares, and for all players.

For each player, I’ve calculated his Win Shares (making some of the changes noted previously on this blog), his expected average Win Shares baseline, and the difference between the two (WSAA).  Please note that WSAA is a MUCH better way to evaluate players than straight Win Shares totals.

One other note: If you’d like to play with replacement levels yourself, feel free to do so.  You can simply copy this data into a spreadsheet, and multiply the expected average Win Shares by the factor you think most appropriate (80%, 50%, whatever).  Hopefully, I’ll find time to investigate replacement levels later this offseason.

I believe this is an important step in Win Shares evolution.  Notice, for instance, how the rankings change when you move from Win Share ranks to WSAA ranks.

So….
Here are the American League (sortable) totals.
And here are the National League (sortable) totals.

Enjoy!



Oh, I totally understand the relationship between 0.52 and 1.52.  I totally understand that.  And I find the “Why .52?” part of James’ book funny.  He has absolutely no good reason, other than it looks good.  That and his strange abhorrence for negative offense.  I haven’t seen teams with negative offense yet, but if you’re okay with players having negative offense, then you should be okay with making that number higher.  My presumption is that a pitcher should be as valuable as a non-pitcher.  To me this means, that we want a number such that PitWS = BatWS+FldWS.  Strangely enough, the golden ratio seems to be that number!

The other number I’m talking about changing is the 0.52 to determine marginal runs for BatWS.  That number seems way to high for me.  And I think that James’ whole discussion of replacement levels misses the point.

Posted by .(JavaScript must be enabled to view this email address)  on  12/18  at  10:08 PM

Well, just a couple of last comments.

I actually think that James is right on in his Replacement Level section.  It’s an extremely complex subject (even more than park factors) and you have to be careful about it.  Changing the 52% to approximate a replacement level is a mistake, IMO, because we should talk about replacement players, not replacement levels of skill.  This is an issue James refers to.

Also, the PitWS=BatWS+FldWS doesn’t make sense to me.  Batters account for nearly 100% of runs scored; pitchers and fielders split responsibility for runs allowed.  I actually think that major league salaries are probably close to right: 40% of salaries are paid to pitchers.

Posted by studes  on  12/19  at  09:03 AM

I’ve played around with win shares a bit myself and believe that “game shares” are, in fact, the key to making the concept work, esp. as regards pitchers.  IOW, rather than trying to find ways to get pitchers more win shares, we should be reporting the game shares, and comparing, for example, Pedro picking up 25 WS in 27 games, to A-Rod picking up 33 WS in 40 games (just picking numbers out of the air).

The main problem I’ve run into, however, is that comparisons between the NL and AL don’t work because of pitchers hitting.  James does a good job of explaining why he DOESN’T adjust for pitchers hitting in win shares, but once you introduce game shares you wind up with NL pitchers picking up a bunch of “offensive game shares” that their AL counterparts don’t.  And since very few pitchers pick up any offensive win shares, this has a very real impact.

From studes’ charts, it appears that NL pitchers were, collectively 185.6 WS below average last year, whereas AL pitchers were only 7.1 WS below average (which is well within the range of either a rounding error or the actual difference between the AL & NL in interleague competition last year).  And those extra WSAA have to be redistributed somewhere, which leads to NL OF being 146.5 WS above average (all AL positions fall within 20 WS of average).  So using WSAA is actually less accurate than using straight WS when comparing players across DH & non-DH leagues.

Posted by Paul B.  on  12/19  at  12:30 PM

You’re absolutely right, Paul.  Comparisons across leagues don’t work with this WSAA approach.  I think this is the main reason James included negative batting claim points in the pitching win shares calculations themselves.

My suggestion for negative batting shares sort of blows that apart.

Charlie has suggested that there be a second WSAA for pitchers only, which takes out the batting portion.  In that way, you could compare pitchers across leagues and years.

But you also may be pointing out a flaw in the system that I should tackle.  Perhaps’ pitchers’ batting win shares should be pulled out of the overall batting Win Shares averages, and applied just to pitchers.  That would increase the expected average Win Shares for everyday players, and decrease them for pitchers.  It would also make the total WSAA for pitchers equal zero, even in the National League.

This makes sense to me, and I’ll play with it over the next few days.  Thanks!

Posted by studes  on  12/19  at  01:51 PM

What I figured was best for WSAA (or XWS, as I call it, since I like just presenting the two numbers side-by-side and then everyone picks his own baseline) is that pitchers are considered to be expected to contribute 0 Win Shares as hitters. You need to make a small adjustment for those few players who both pitch and play somewhere else, but basically, for pitchers, you zero these out. I had some other things in there, but I didn’t use Negative Win Shares and had some ways I would use to correct for it, which are unneeded with Negative Win Shares.

One other thing I think would work, and I don’t know if studes did this or not, would be to adjust hitting XWS for the DH rule. It’s a little work, but it does lower the XWS for everyone in the AL.

Posted by .(JavaScript must be enabled to view this email address)  on  12/19  at  03:59 PM

I’ve just finished reconfiguring the approach to National League pitchers, and the results are very interesting.  Although no pitcher jumps ahead of the top five in WSAA, they now occupy the sixth through eighth spots, and also account for nine of the first seventeen players in WSAA.  I’m going to rewrite the article to explain what I did.

One caution, by the way: WSAA is still not the correct way to go.  We will eventually have to take the next step to replacement level for this methodology to make sense, and that might change pitchers’ relative ranking again.

Charlie, I didn’t follow your DH methodology, because I think it isn’t necessary, and total average Win Shares wouldn’t foot with the league totals.  If you think I’m missing something, let me know.

Posted by studes  on  12/20  at  07:43 PM

Yes. Total Average Win Shares would not foot with league totals. I see no reason why this is important, incidentally, if you zero out expected hitting Win Shares for pitchers.

Posted by .(JavaScript must be enabled to view this email address)  on  12/22  at  05:26 PM
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