Wednesday, December 16, 2009

Baseball's best bargains


Recently I wrote about baseball's worst contracts. I wanted to follow that post up with a breakdown of baseball's best contracts, but too many of the most productive players are still cost-controlled. The deals wouldn't so much be moments of general managerial brilliance as dumb luck. Where's the fun in that?

Along the same lines, I began wondering which players performed the best for their teams for the least money in 2009. This idea I liked. Unlike analyzing contracts, which was mostly a subjective exercise, there are statistics that can be used objectively to quantify the players who got their teams the most value. Hence the subject of this post.

The real fun, of course, would be a similar analysis of baseball's LEAST valuable players, the guys who make the big money and their teams worse at the same time. That, unfortunately, is more difficult than it seems for reasons that will become clear once I explain my methodology.

The first thing I did was compile all the salary data for every player on a Major League roster on opening day. The Associated Press released this information in 2009. I had wanted to match the salary data with value metrics from FanGraphs, but the data exported from that site wouldn't merge with the salary data. Instead, I used WARP1 data from Baseball Prospectus.

Combined, the two datasets allowed me to divide a player's salary by his WARP1, a crude but effective measure of how much each player was paid for giving his team a win. This methodology works great, until a player is worth less than a full win. After that, the math starts to break down, particularly for the really crappy players who actually COST their teams wins. It produces a negative number. Since the real awful players aren't giving the money BACK analyzing them this way is more challenging. (The answer, by the way, is
Brad Lidge. Salary? $12 million. WARP1? -4.6. Philly never stood a chance).

A few fun facts jumped out at me once I'd compiled the data and run the calculation (remember, to qualify for THIS post a player needed a WARP1 of at least 1):

-
David Ortiz is the most expensive player in baseball who earned at least one win for his team. That win, by the way, cost the Boston Red Sox $13 million. You stay brilliant, Theo Epstein.

-
Tim Hudson and Magglio Ordonez are hot on Big Papi's heels; heinously overpriced, and just barely valuable.

-
Alex Rodriguez gives the Yankees the least bang for their buck. With a WARP1 of 5.3 the Yankees paid A-Rod a bit more than $6 million per win in 2009. (In A-Rod's defense WARP1 is adjusted to playing time. In A-Rod's prosecution, at $30 million a year he'll always scrape the bottom of the affordability list unless he returns to 2007 HGH levels...I mean performance levels.)

- The bomber who gives the Yankees the most value per win?
Phil Hughes, at a shade under $120,000 a win, which makes him one of the 30 most productive players in MLB on this list. Save Phil Hughes indeed!

- Baseball paid just under $1.7 million per win above replacement player in 2009.


Enough build up. Here are the 20 players who should have excited baseball stat geeks the most in 2009:


1)
Ben Zobrist, 28 Rays - 2B Salary: $415,900 WARP1: 7.6 $54,724 per win

2)
Matt Kemp, 24 Dodgers - CF Salary: $467,000 WARP1: 7.9 $59,114 per win

3) Jair Jurrjens, 23 Braves - P Salary: $450,000 WARP1: 7.3 $61,644 per win

4)
Yunel Escobar, 26 Braves - SS Salary: $425,000 WARP1: 6.7 $63,433 per win

5)
Franklin Gutierrez, 26 Mariners - CF Salary: $455,000 WARP1: 7 $65,000 per win

6)
Andrew Bailey, 25 Athletics - P Salary: $400,000 WARP1: 6 $66,667 per win

7)
Pablo Sandoval, 22 Giants - 3B Salary: $401,750 WARP1: 5.8 $69,267 per win

8)
Brendan Ryan, 27 Cardinals - SS Salary: $403,000 WARP1: 5.8 $69,483 per win

9)
Shin-soo Choo, 26 Indians - OF Salary: $420,300 WARP1: 5.8 $72,466 per win

10)
Evan Longoria, 23 Rays - 3B Salary: $550,000 WARP1: 7.1 $77,465 per win

11)
Justin Upton, 21 Diamondbacks - OF Salary: $412,000 WARP1: 5.2 $79,231 per win

12)
Joey Votto, 25 Reds - 1B Salary: $437,500 WARP1: 5.3 $82,547 per win

13)
J.A. Happ, 26 Phillies - P Salary: $405,000 WARP1: 4.9 $82,653 per win

14)
Tim Lincecum, 25 Giants - P Salary: $650,000 WARP1: 7.4 $87,838 per win

15)
Yovani Gallardo, 23 Brewers - P Salary: $414,000 WARP1: 4.7 $88,085 per win

16)
Michael Bourn, 26 Astros - CF Salary: $434,500 WARP1: 4.9 $88,673 per win

17)
Jered Weaver, 26 Angels - P Salary: $465,000 WARP1: 5.2 $89,423 per win

18)
Scott Feldman, 26 Rangers - P Salary: $434,680 WARP1: 4.7 $92,485 per win

19)
Adam Lind, 25 Blue Jays - DH/OF Salary: $411,800 WARP1: 4.4 $93,591 per win

20)
Clayton Kershaw, 21 Dodgers - P Salary: $404,000 WARP1: 4.2 $96,190 per win

I'm thinking it too.
Kung-fu Panda is one fat 22-year-old. That, and these guys are good. How good? The average WARP1 of the players who made my data cut is 3. The average among this group is 5.9. That's about 3 wins better than average good, which is good.

And they come at excellent age and cost. No one on the list makes more than $650,000 and the lowest WARP1 among them was Kershaw's 4.2. The Yankees gave Johnny Damon $13 million for a WARP1 of 4.4.


Justin Upton also stands out. The dude is only 21 years old and his WARP1 is 5.2! What's his ceiling? 10 wins? 12 wins? I hope we get to put him in pinstripes someday. I'd say the same thing about Kershaw, except we all know that Torre is going to go Dusty Baker on his rotator cuff within a season or two.


This also provides a loose sense of how to run a team. The average salary on this list is less than $450,000 and we get 5.9 wins a year from that. The average price for a win paid across all of baseball, from Alex Rodriguez to Brett Gardner, was $1.7 million. Loosely speaking this means that if a team maintains a robust farm system producing talent then it is difficult to justify paying anyone not named
Pujols more than $12 million. At $2 million per win, that covers a player for 6 wins a year. Only a handful of players will generate more than 6 wins a year for the life of a contract. Anyone demanding more money can be replaced through the farm system -- probably not for 6 wins, but definitely for better value.

So, how did the Yankees do? (What, you didn't think I'd keep our team out of this, did you?)

1) Phil Hughes, Salary: $407,650 WARP1: 3.4 $119,897 per win

2) Joba Chamberlain, Salary: $432,575 WARP1: 1.4 $308,982 per win

3) Melky Cabrera, Salary: $1,400,000 WARP1: 1.9 $736,842 per win

4) Robinson Cano, Salary: $6,000,000 WARP1: 5.9 $1,016,949 per win

5) Brian Bruney, Salary: $1,250,000 WARP1: 1 $1,250,000 per win

6) Nick Swisher, Salary: $5,400,000 WARP1: 3.4 $1,588,235 per win

7) Andy Pettitte, Salary: $5,500,000 WARP1: 3 $1,833,333 per win

8) Mariano Rivera, Salary: $15,000,000 WARP1: 6.8 $2,205,882 per win

9) CC Sabathia, Salary: $15,285,714 WARP1: 5.8 $2,635,468 per win

10) Johnny Damon, Salary: $13,000,000 WARP1: 4.4 $2,954,545 per win

11) Jorge Posada, Salary: $13,100,000 WARP1: 3.9 $3,358,974 per win

12) Mark Teixeira, Salary: $20,625,000 WARP1: 5.8 $3,556,034 per win
13) Derek Jeter, Salary: $21,600,000 WARP1: 5.7 $3,789,474 per win
14) Hideki Matsui, Salary: $13,000,000 WARP1: 3.1 $4,193,548 per win
15) A.J. Burnett, Salary: $16,500,000 WARP1: 3.7 $4,459,459 per win
16) Alex Rodriguez, Salary: $33,000,000 WARP1: 5.3 $6,226,415 per win

What really stands out to me here is how good the Yankees are. There are some major All-Stars on the list above, and almost as many on the Yankees, if you include guys like Robinson Cano who probably should have been All-Stars.


That, and its tough to put together a team as good as the Yankees and save money. At the $2 million per win rule of thumb the Bombers are overpaid (we know that) but look at the wins. If you're going to overpay any team, this is pretty much the team,
right?

Among the individual players, once we get past Hughes, Cano and Mo jump out at me. I'm a little skeptical of Cano's win total, but it's incredible value for a player to make $6 million and give us 6 wins. At $15 million, its a testament to Mariano's ability that he is pretty much paid fairly.

Coming soon: The worst of the least.

3 comments:

  1. I'm wary of any list that has Brian Bruney 5th best. In fact, he's a perfect example of the one main flaw in this post: Brian Bruney is decidedly un-valuable because the Yankees have cheaper options that should produce more wins (D-Rob, for starters.) On the other hand, Jeter was paid almost $4 million per win, but he's still fairly valuable because shortstops who consistently hit .330 don't grow on trees.

    There's no arguing with the list of cheap, talented players. But I'd rather have Jeter's 6 WAR at 20 million than a SS with a 1 WAR at $400,000, even though by your math that SS would be 10 times as valuable.

    I think you said something to this effect at the bottom, so I'm not arguing, just reinforcing the point.

    ReplyDelete
  2. Due to the way the MLB pay structure works, the cheapest per-win players are ALWAYS going to be pre-arbitration (or first year arb) guys if for no other reason than that their salaries increase manyfold after that. How many guys like that do the Yankees even have? Melky, Hughes and Joba, and the rest of the non-Mo bullpen. That's how Bruney wound up at 5th despite being generally lousy and that's why there are only two guys on the overall list above the age of 26.

    It's worth noting that several of them were drafted at slots the Yankees haven't picked anywhere near in ages (Weaver was picked 12th overall, Tim lincecum 10th, Clayton Kershaw 7th, Longoria 3rd, Upton 1st)

    ReplyDelete
  3. I included the Yankees only because this is a Yankee blog. The main focus of the piece is the cheap talented players, who are giving their teams real bang for their buck. These players are good and underpaid, and therefore extremely valuable to their teams.

    Most of the Yankees are overpaid, at least relative to the average cost of a marginal win. Bruney pops up early on the Yankees list not because he's valuable, but because relative to the other Yankees they paid him less for his marginal wins.

    The 1 win SS you describe is not 10x more valuable than Jeter. He just gets paid 10x less per win. Neither player would crack the best value combinations at the top of the post.

    None of these high-value low-cost players will stay that way for long. Baseball overpays for players who can produce consistently. All these guys will jump up to about $3 million per win. My point was only to identify them, and then to show where the Yankees fall for fun.

    ReplyDelete