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Arbitration Figures

Jeff's note: We did it again. I have a 2010/2011 payroll post below this one. Scroll down. We are just the worst.

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I'm going to stop thinking about Felix for a few seconds to take a look at the arbitration process MLB wide. The reason, of course, that we've seen a slew of signings lately is that today was the deadline for clubs and players submitting arbitration numbers. For those who aren't in the know, basically if a player has sufficient service time (generally more than three years but sometimes not), they can have their salary decided by an arbitrator rather than just be at the mercy of their team. Each side submits the number they feel is most fair, an arbiter hears arguments from both parties, and chooses which figure he likes best. Once it gets to this stage, it's one number or the other - there's no turning back.

Arbitration can be a pretty contentious process, and there's every motivation to come to a settlement before it gets to that point. Today marked the day when the sides officially exchange numbers, but the arbitration itself will not occur until later - there's still time to get to a decent compromise. Very few cases even go to arbitration, so we see a lot of short term (and in some particularly happy cases, long term) contracts signed in mid-late January.

Anyway, the accepted standard salary for a player who is arb-eligible is 40%/60%/80% of their market value for the first, second, and third years of arbitration respectively. Service time often matters more than actual performance. But we have a metric that takes both service time and performance into account - namely, career WAR. While it's not perfect for reflecting recent play, it's close enough for our purposes. With it, I thought it might be interesting to compare how player-submitted figures and team-submitted figures matched up with performance level (the dollar numbers themselves can be found here). The results are quite interesting:

Figure 1: Career WAR vs. Player-Submitted Arbitration Figure, 2010. Note the difference in scale with Figure 2.

Figure 2: Career WAR vs. Team-Submitted Arbitration Figure, 2010. Note the difference in scale with Figure 1.

We can actually see which sides are being more consistent by looking at the correlation between WAR and submitted salary numbers. In the player's case, we find that the R² is 0.74, a very good match. From the teams, it's 0.68, also a good figure, but still less consistent than the player numbers. I'd be interested to see how these vary year-by-year (or even team by team). Are teams always coming out with numbers more loosely correlated to actual performance than the players are, or does this number vary? It's a very slight difference anyway, so I'd be surprised if it held up, but it'd be interesting to investigate. For 2010, though, the players are closer to their actual worth than the teams.

Star-divide

Of course, I'd be remiss if I posted on LL and didn't mention the arbitration-eligible players we have unsigned. Brandon League is in his first year of eligibility, Casey Kotchman is in his second. They submitted $1.325M and $3.9M respectively, and the team has countered with $900K and $3.125M. Expect contracts to be signed somewhere in between, but that's not a guarantee. Either way, the two player-submitted numbers means we can get a fix on the minimum amount of money that the Mariners have left to play with... which is a post for a little later, perhaps (or earlier?).

0 recs  |  101 comments

Comments

How the fuck do you guys write so fast
There are more than one of us

Also I don’t write so much as make pretty charts and fill in a post around them

I've noticed your use of backgrounds on your charts now.

Taking it to the next level USA Today style.

Which is a joke

Actually how do you easily sub in the pictures in the background. Photoshop or is it something even easier?

I play with paint.NET a lot

I just like making things pretty.

He's been doing it at least

since “Is This Sparta” with the 300 graphics. A nice touch for sure.

I know, but over the last week or so it just seems like articles are constantly flying at us

It’s crazy

If I write a post a day the site has 50% more posts than usual
I can't wait for us to be burned out before the season even starts
Will the communication on posting improve if Jeff is only 200 miles away?
What do you think
Carrier pigeons.
I always imagined them meeting like the Jedi Counsel only with 1000% more drinking

With hologram projecters displaying images of those who can’t attend in person.

Graham = Yoda

Jeff = Mace
Matthew = ??

Old Ben Kenobi
You mean old Obi-wan Kenobi?
You don't think they're the same person do you?
So Graham is 3' tall wrinkled green fella with pointy ears?
No, but he can make things levitate with his mind.
And then there are few folks such as I ...

… who have privileges to post if we were so inclined. But Jeff, Graham, and Matthew are simply so awesome that I hang my head and limit myself to the occasional FanPost when I feel as though I have something that might be worth hearing.

Jeff, et. al., deserve all of the accolades we can give them. I’m pretty sure that most of you have no idea what is involved with creating and running a blog that is persistently well-written, analytical, cogent, fun, and exhilarating despite attaining mass popularity.

There’s an oft-stated truism that the quality of comments and discussion on a blog is inversely related to the popularity of the blog. LL and USSM are doing their best to show that there might possibly be a smattering of exceptions to that axiom.

Not to detract from your point because it's spot on but,

Wheelhouse for life.

Efil4Esuohleehw?
Well, LL is, in a small way, the sucessor to Wheelhouse ...

… A few days after I retired my cleats, I received an invitation from Tyler Blezinski at Athletics Nation to fold Wheelhouse into the then-forming SportsNation blogroll. I declined, but I told Tyler that there was this other guy named Jeff who was a more awesome blogger than I and that he should approach Jeff about joining up..

If you had said yes I would probably be a college graduate right now.
It's kind of like the Seahawks who hire a pretty coach

and then hire a GM around him.

This is a bad joke
Yeah suck on that Sullivan
What the hell.

I had the comment thread to “Felix Contract Details…” open for a few minutes, and as I went to return to the LL’s main page, I absentmindedly made a joke about “I wonder what new post will be on the front page now.”

Sure enough. Thanks, Graham!

If I remember correctly, Bavasi never took a single player to arbitration, which is probably a pretty good policy for morale.

Do we know much about how Jack and his team work in this arena? No Mariner went to a hearing last year, did he?

(I know a one-year sample doesn't mean much, but Jack strikes me as the kind of guy who wouldn't want to go into a room and tell a panel why his player isn't as good as he thinks.)
OTOH, in Tampa

I heard that Tampa has a policy that once figures are exchanged, they never negotiate and just go through with the arbitration process. I hear it works for them, but that does fly in the face of conventional wisdom.

Seems like a non-terrible idea

maybe it encourages players to settle with the team faster so the team never has to send out a potentially insulting contract figure to the player

They've had to go to arby three times and have won every time

but the process is unpleasant and it’s hard to say how players react to that kind of treatment. I wouldn’t draw any conclusions about on field performance, but certainly it seems that resigning those players at any point would be a long shot.

It looks like the teams pay pretty fairly except for a few players who get offered way too much

maybe I’m misreading the plot but there are two really big outliers in the bottom right corner.

I think fair might not be the correct term. I think consistent might be a better word since R^2 doesn’t tell if they are erratic in any one direction.

True.
I changed the post
In your spreadsheet can you compare what they produced last year in WAR

vs what they expect to earn this year using the 20%/40%/60% split? I know its more complicated so it might not be worth the number crunching. Then you could at least compare the offers vs. an “unbias” benchmark to see if either the players or teams are way off.

My guess is that the RP make too much as well as bench players. Any SP or position players who are getting playing time are way undervalued by either side.

I don't have service time numbers easily available or I would have

I had to manually enter in team/player figures as it was

Cool, yeah thats a pain

Somebody should get fangraphs or baseball ref to make that a stat so that we can know how many years a player has plus then we can easily record it in our super nerdy baseball spreadsheets. Its a pain searching around for it.

It's worth pointing out that the two players you noticed in your original comment are closers

Papelbon and Street

Who is the player with the lifetime WAR of ~22?

I feel like this won’t surprise me but I’m sure you’ve got the number right there.

Felix
Hah, cool. That was kinda my guess.
It would be interesting to see a multi-year study on which positions are over/undervalued

and compare that to the FA pool just to see if there is some sort of bias depending on position. You shouldn’t have different $/WAR based on position but I’m sure this happens (especially for RP).

(study on arbitration player salaries) and compare to FA salaries

Is what I meant to say.

That fits into the whole

“Closers don’t get a high enough WAR” / “Closers are overpaid for the WAR they generate” argument that erupted at Fangraphs the last couple of days.

And in the story everyone's watching,

The Giants’ $8 million offer to Lincecum seems low. I think he gets his $13 million if it goes to an arbitrator. Or they’ll settle around $11 million and he’ll still break Howard’s record.

Oops I did it again
Isn't it likely that players and they agents are using similar advance stats to

justify the value.? Hence, the closeness to their actual value.

I'm not figuring out what question of mine this comment was answering
I can tell you as an absolute fact

Arbitrators care about the stupidest stats in the world, and agents know it, so this stuff doesn’t come into play.

Brian Hunter got a raise!
I guess thats what I was trying to get at

It would seem as though the players/agents are using advance stats to determine their value. So the stats have to be holding up somewhat in the hearings, no?

Not necessarily advanced stats, though

They know arbitrators care way too much about things like Saves, fielding percentage, ERA, etc. etc.. so they use those statistics in making their case for a certain salary even though they may not be indicative of how talented the player is at all.

Imagines Tony Blengino explaining WAR before a panel.
I'm pretty sure the accepted standard is 40/60/80 for arb players

the 20% only really gets applied for Super 2s

Stop thinking about Felix?

Just like humor after 9/11, it’s too soon.

What's not funny about 9/11?
Great job again

I may be drunk but damn this site is the best.. I toast to many more years of Felix and LL

Did anyone else notice the equations in the background?
I think its actually contruction plans for something
One rec to whoever can figure out what being built

Hint: the date is on there somewhere

Is it a Seattle based LEED project?
I'm going to go with the Panama Canal
Doh! I didn't see this guess.

The 1903 number seems like it could be a year.

The Rainier brewery?

What’s a Graham rec worth these days?

The Panama canal?
Williamsburg bridge
The Butterworth Building
Wright Brothers Flyer?
Winner!
Since I live in Dayton, Ohio, I had an unfair advantage on this question
Strong work rickpo
Oh my God, I'm so so so so so sorry

so sorry

I feel so awful for you
Yeah, it's my cross to bear.

Fortunately, I’m in Seattle for a couple weeks.

Wright Brothers' Flying Machine
Wright Brothers Flyer!
Whoa, the scale threw me off for awhile there.

I now see that the player figures go to $15m and the team ones go to $10m. I was trying to figure out how/why some of the player figures were lower than the corresponding team figure, but now I see that isn’t the case. Anyway, thanks for these graphs, Graham. It is interesting how well correlated these plots are. Plotting it on top of a hand-written spreadsheet is also a nice touch.

Yeah, I should have had them both on the same scale

But then the team one looked all scrunched up

Superimposed, maybe?

That way the scrunching would more highlight the difference in player/FO numbers?

Tried, looked stupid

Too many data on one graph.

The average team submitted number is 75% of the average player submitted number, for those who would like more of a sense of scale.

You might try just adding the other regression line to one of the graphs.

One line should be easy to pick out and would compare the slopes of the two lines.

Graham, what are the slopes of the two best fit lines? In other words, what is the increased salary per each additional career WAR?

I'll let you know when I'm at my home computer in a couple of hours

Also, please use the subject line when commenting on LL. Doing so helps the moderators out a lot. Thanks!

Whoops, forgot. Promise I'll get to it soon
Player: 671K/WAR

Team: 507K/WAR

It looks like the intercept goes through 0,$0

If so, wouldn’t it make sense to make it go through 0,$400K or whatever the league minimum is?

Yes, but all I know how to do is to tell Excel that the line doesn't -have- to go through 0,0.

It decided to anyway

You can use the solver feature to make best fits for arbitrary functions

Just make two cells your “slope” and “intercept” if you want to use the function
 $ = slope*WAR+intercept
to generate a column of expectation $‘s based on a player’s WAR total and the two constants designated by the “slope” and “intercept”.

Then either make a column that is “=abs($(real)-$(expectation))” to generate the absolute error between the real data and your function’s expectations (You can use RMS instead of absolute error if you want). Sum up that column of absolute error. Then use solver to minimize the absolute error by changing the slope and/or intercept.

You could set the intercept to $400k and just minimize the error with respect to the slope. Excel isn’t the most efficient way to do stuff but hey it gets the job done. This is a great way to fit any arbitrary function to data. Make sense?

I could do that, but Excel is telling me that the best fit line for the data does not go through $400K, 0

I find this interesting

So maybe there shouldn't be a minimum salary in the MLB

Replacement players would play for free if you let them. This might be true. I would but I’m probably far below replacement.

Also, I just tend to find using solver to fit functions to be really convienent

Spreading the Excel gospel.

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