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What’s a draft pick worth?
I'm sure most of you have read about the NFL draft study conducted by economists Cade Massey and Richard Thaler. If not, here is the short version: Massey and Thaler took about a decade's worth of statistics on the NFL draft and concluded that the best picks to have (in a particular sense that I'll discuss in a second) are those in the 25--50 range. They claim that the first pick is, all things considered, the least valuable pick in the first round and that the Raiders should be willing to swap their pick for the #30 pick. Straight up.
How can this be?
Massey and Thaler are not claiming that the players available at #30 will turn out to be better than those available at #1. They are instead claiming that the players available at #30 will likely turn out to be only a little worse than those available at #1, but that they will cost a lot less. From their paper:
We think that while our results are surprising, they are plausible. We suspect that some teams have not fully come to grips with the implications of the salary cap, a relatively new innovation. Buying expensive players, even if they turn out to be great performers, imposes opportunity costs elsewhere on the roster. Spending $10 million on a star quarterback instead of $5 million on a journeyman implies having $5 million less to spend on offensive linemen to block or linebackers to tackle.
In other words, the #30 pick is not better than the #1 pick. But the player picked at #30, together with some other player or combination of players you can sign with the money you didn't have to pay the #1 pick, is better than the player picked at #1.
They state all their findings in terms of "surplus value" and the units used are dollars, so this seems to be advice for the owners: pick #30 will provide you a greater return on your investment than pick #1 will.
But what if the units were wins instead of dollars? Theoretically, wins and dollars should align very closely, and that seems to be the assumption that Massey and Thaler implicitly make. But does it really play out that way? In reality, does the extra surplus value gained by the teams at the bottom of the first round get translated (somehow) to wins on the football field? In other words, does this paper speak to fans, or just to the owners?
As is always the case when academics publish a paper that implies that the conventional wisdom is drastically wrong, the main counterargument is a simple and somewhat persuasive one. Namely, the most highly regarded and well-trained experts in a multi-billion dollar enterprise can't possibly be that wrong. They must know something that the study fails to capture. Massey and Thaler anticipate this criticism and address it with some convincing counterarguments of their own, but there is still the possibility that they are missing something.
My wild guess as to what that something might be is as follows. Maybe it's difficult or impossible to turn that theoretical surplus value you'd get by trading down into a real tangible value on the playing field between the time the draft picks are assigned and the time the next season starts. In other words, yes, the Raiders could trade #1 straight up for #30; the quality of player they'd end up with declines just a little, but they save a ton of money. Massey and Thaler claim this is a good thing. But what are they going to do with that extra money? What if there are no free agents available who are worth what they're asking? What if none of their current young standouts are amenable to signing an extension at a reasonable price?
Sure, if there was an All-Pro offensive lineman on the market and signable for the difference in salary between JaMarcus Russell and Drew Stanton, the Raiders should go that route. But I'm not aware of any such lineman. They could have upgraded from Dominic Rhodes and Tony Stewart to Jamal Lewis and Daniel Graham, or something like that, but how sure are we that Russell/Rhodes/Stewart won't provide better bang for the buck than Stanton/Lewis/Graham would? At $30 million for five years, how much surplus value can Daniel Graham possibly have? According to Thaler and Massey's data, the #1 pick doesn't generate as much surplus value as the #30 pick, but it does offer a substantial amount of surplus value. So why not pay a bit of a premium for the guy with the better chance of being a star, even if it's only slightly better?
I don't know if I believe that theory or not. I'm just throwing out a possibility. But whatever's going on, the real test of Massey and Thaler's theory --- from a fan's point of view --- is whether or not teams with the high draft picks are more likely to improve than teams with lower picks. If they're correct, then bad teams that for whatever reason are not picking at the top of the first round should improve more quickly than similarly bad teams that are "stuck" with their early picks.
I'm going to try to address that question in detail in a future post. For now, let me set up the framework of my methodology while providing some interesting draft-related trivia.
On page 52 of their paper, Massey and Thaler show a graph of surplus value by draft slot. It rises from pick #1 until about pick #43, then it starts to fall again and keeps falling until the end of the draft. Again, they claim that, dollar for dollar, the end of the first round through the second round are the best picks to have. Massey and Thaler are very careful to point out that they don't have much confidence that this represents the exact relationship between pick number and surplus value:
Clearly, considerable caution should be used in interpreting this curve; it is meant to summarize the results simply. We do not have great confidence in its precise shape.
Nonetheless, it does represent their best guess in some sense, so that's what I'm going to use. But bear in mind that this study necessarily carries the same disclaimer.
The first thing I did was to eyeball that graph and make a numerical estimate of the value of each draft slot. Then I went through every team of the free agent era (1993--present) and calculated how valuable their draft slots were.
For example, the team with the best overall collection of slots was the 1997 Dolphins; they had 14 total picks, including four in the third round. By my accounting, the value of the Dolphins draft was 170.6 on a scale where league average is necessarily 100. To be more precise, I took the total Massey-Thaler value of all picks in the draft, then I divided that by the number of teams in the league at the time. Then I divided the total Massey-Thaler value of the Dolphins picks by the league average. Finally, I multiplied it by 100 to make it easier on the eyes. To summarize: 170.6 means that they had 70.6% more draft value than an average team.
The team with the lowest total draft value was... Ah, I'll let you guess. But I'll give you a hint: they only had one pick in the whole draft, and it was early in the first round.
Just for fun, I also made the same calculation as above, but with the NFL draft pick value chart, as provided by Gil Brandt here. Some interesting teams:
- The 2004 Titans had thirteen total picks. They had no first-round picks, but had three second-rounders and two third-rounders. The pick value chart says their draft slots were worth 99.7, almost precisely average. The Massey-Thaler chart says it was 165.0, the third-highest figure of the period.
- The 1998 Jets were similar to the Titans above. According to the pick value chart, their draft slots were worth about half that of an average team. Thaler and Massey say they were worth about 40% more than an average team.
- The 1997 Seahawks had picks #3 and #6 in the first round, but no other pick until round five. The pick chart says their picks were worth 191, about twice that of an average team. The Massey-Thaler chart says they were only a 58, just over half that of an average team.
- The 1998 Chargers' picks were worth 68.6 according to Massey and Thaler, but 148.3 according to the pick chart. Do you remember that draft, Charger fans?
In a forthcoming post (hopefully later this week, but no guarantees), I'll align this draft value data with the team records to see if it plays a role in team improvements and declines.
This entry was posted on Wednesday, March 28th, 2007 at 4:03 am and is filed under NFL Draft. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.

Good blogging, Doug. I think your theory is analogous to drafting a TE in fantasy football. For example, Antonio Gates in the third round is usually a no brainer pick. He's clearly the most valuable of all the remaining players. But the problem is, there seems to always be lots of good TEs available really late in the draft, and drafting a TE might be the most valuable pick in round 8, round 12 or round 15. That's why you need dynamic value based drafting. I think the same situation presents itself here. If you take your TE in the third round, you can't get any of the value if Tony Gonzalez slips to the 7th round. You limit yourself quite a bit. In the draft context, you can't capture any extra value by trading down and saving money, if you don't have any place to spend the money. In terms of signing NFL free agents, it's probably always better to go cheap than expensive. In terms of drafting, the less you pay, the more valuable the pick (at least in the first couple of rounds). But at some point you have to go expensive, even if being cost efficient is the dominant strategy (value-wise) in both the draft and free agency.
If the Raiders save money by trading down this year, they may not be able to spend that money this year, but they could use it in next year's offseason instead.
Don't forget about the ability to cut bait. I can't think of any examples right now, but why not take a shot at the next LT or Peyton because god knows you can't get them at pick 30. If San Diego won the superbowl this year, I'd have a perfect example (of course they didn't but maybe you can find a real example). Basically, Leaf and Manning go in same draft - both early 1st. Leaf gets dumped and San Diego went on to win SB without him. Again - I know that DIDN'T happen, but the fact is San Diego very plausibly could have won this year and I am saying that because they were able to cut bait on Leaf, they aren't currently bogged down by him. Whats the point? I think it is worth the gamble in the early 1st - you just have to do your home work and draft Manning and Tomlinson and not Leaf and Curtis Enis. If you draft well, its worth every penny - as Manning and Tomlinson are proving for their respective franchises. If you get Leaf - cut bait and move on down the road.
I guess my point is also that when you pool mannings and leafs together, the early 1st might not look as productive as the late 1st. Ideally though, your GM will do a "better than average" job with his early 1st pick. You gotta take the shot. Why? Because if you say "well, really he can't necessarily pick better than average in the early 1st" what makes you think he can pick better than average in the late first?
BOTTOM LINE: Don't hire Matt Millen to run your franchise. Good Luck Sir.
Correction: "the early 1st might not look MUCH MORE productive as the late 1st" is what I meant to say.
The problem with this thesis is that there's not a clear "early picks are good but expensive, later picks are almost as good but cheaper" reality. There are a lot of busts who do nothing. There are some superstars. If anything, early picks are worse because there's such high risk-reward: you have to give up a ton of money even though the player might be a total bust that does nothing for your team. But, the odds of getting a HOF player are higher in the top-10. It's about managing that risk-reward: but if you do a bad job at scouting and drafting, it doesn't matter whether you have early or late picks.
"The team with the lowest total draft value was… Ah, I’ll let you guess. But I’ll give you a hint: they only had one pick in the whole draft, and it was early in the first round."
New Orleans Saints. 1999.
The moral of this story is don't trade up to draft Jamal Reynolds.
"I can’t think of any examples right now, but why not take a shot at the next LT or Peyton because god knows you can’t get them at pick 30."
I don't know, Joe Montana wasn't drafted until the end of the third round, and even Emmitt Smith lasted until the 17th overall pick, so it's not like you need to draft early in the first round to find a future HOFer. Just don't get wrapped up in irrelevant issues, like combine runs (Emmitt Smith ran a 4.6, and that was supposedly one reason he wasn't the first RB taken in the draft that year) and arm strength for QBs (the main reason Montana fell to the third round). Pay attention to what they did in college, and you can find great players throughout the first round, and sometimes even in later rounds.
"If you get Leaf - cut bait and move on down the road."
Yeah, and then, the next time you get one of the first two picks in the draft, trade it to the Giants for a bunch of later picks so that you can rebuild your team, and let them try their luck with Peyton's little brother.
"But what if the units were wins instead of dollars? Theoretically, wins and dollars should align very closely, and that seems to be the assumption that Massey and Thaler implicitly make. But does it really play out that way? In reality, does the extra surplus value gained by the teams at the bottom of the first round get translated (somehow) to wins on the football field? In other words, does this paper speak to fans, or just to the owners?"
I'd be surprised if there were any teams that didn't spend most or all of the money they are allowed to spend in a given year, so I don't think that's a huge issue. And even if a team does have extra cap room for a given year, they can just use it the next year, can't they? I guess you just have to make sure that you spend all the money you are allowed to. If you do that in a cost-efficient way, you'll be better off in the wins department.
Alex,
I actually think that's a pretty inaccurate assumption, and a problem with the thesis of the paper. The Patriots last year were over 10 million under the cap, IIRC. The Vikings were even more. I'd like to see data on wins vs. payroll and/or salary.
[blockquote]Theoretically, wins and dollars should align very closely, and that seems to be the assumption that Massey and Thaler implicitly make. But does it really play out that way? In reality, does the extra surplus value gained by the teams at the bottom of the first round get translated (somehow) to wins on the football field?[/blockquote]
It is nearly self-evident, in my opinion, that having a larger salary cap than your opponents would give you a competitive advantage. That's basically what happens when you sign a guy for $1 million instead of $4 million -- you are increasing your remaining salary cap by $3 million.
That's not where I would question the paper's conclusions. I would question the way they measure the dollar value of a draftee's projected performance. (More on this later. It would take me a while to flesh out my thoughts on this.)
By the way, the most remarkable thing in the paper is the 173.8% discount rate for future picks. What could possibly justify that??
just because you can site HOF'ers not drafted in the early first doesn't mean the early first isn't more valuable. i have no doubt in my mind that if the 49er's could trade the pick they Montana for a early 1st rounder. this example is more aliken to winning the lottery. its not like the 49ers office was sitting back snickering when all those other teams (including themselves) were taking other players ahead of Montana.
Re: 10
Chase, I highly doubt that the Patriots ended the year $10 million under the cap. Belichick and Kraft have stated that they try to spend up to the cap every year, and if they are under, they use it to extend players(last year, the O-line).
According to http://www.patscap.com, the Patriots were $400,000 under the cap last year, which isn't much, and there were reports they were an absurd 76 cents under the cap, which would imply that the Patriots must have negotiated at least one contract specifically to use up all of their remaining space. I don't know if I believe that, but regardless, I don't think the Pats or anyone leave $10 million in cap space on the table at the end of the season. That would be really, really stupid. At the very least, teams know how to push the space into the next season with likely to be earned incentives.
Every team does, or should, spend to the cap every year.
ABW,
Thanks for the link. I'm almost certain (but going by memory) that teams like SF and Minn have been well under the cap in recent years. I also think Philadelphia in the middle of their NFCC run was well under the cap at least one year. Not sure where I'd go to verify.
All owners are not created equal. Their goals are not the same across the board. Red McCombs and Bud Adams will skew a proof of the thesis.
Re #10 and #14:
Maybe the Patriots (or other teams) were under the cap last year. But even if they were, don't they get to use that cap space this year instead, or am I crazy? From what I've heard, cap space carries over from year to year, so if you can't use it one year, you can just save it until the market is more favorable.
Based on the info at drafthistory.com, here's the breakdown of HoF by draft round since the NFL-AFL combined their draft in 1967:
1st -
1st - 37
2nd - 10
3rd - 6
4th - 4
51
7 1
9 1
Re 17 - oops, fat figured the wrong button.
Based on the info at drafthistory.com, here's the breakdown of HoF by draft round since the NFL-AFL combined their draft in 1967:
1st -
1st - 37
2nd - 10
3rd - 6
4th - 4
5th - 1 (Mike Webster)
7th - 1 (Rayfield Wright)
9th - 1 (Ken Houston)
Of the 1st rd picks:
#1 - 8 HoF entrants
#2 - 4
#3 - 2
#4 - 6
#5 - 1
#6 - 2
#8 - 3
#10 - 1
#13 - 2
#14 - 1
#15 - 1
#17 - 1
#20 - 1
#21 - 1
#23 - 1
#26 - 1
#27 - 1
The last draft class with an entrant was 1989, so it's not clear how relevant this data is to the current NFL. But it sure looks like you are much more likely to find am all-time great at the top of the draft.
Re: 14, 16
Hmm...seems to me this is a pretty important distinction to get right here. This whole premise of getting better value around pick 43 is based on the assumption that you can then spend the extra space in a productive manner. As Chase noted in 10, if teams can't do that, then the whole framework kinda falls apart. Being able to carry over cap space would have a huge effect on how efficiently a team could spend it's money.
I honestly do not know whether teams can carry over cap space year to year - I thought that LTBE incentives that are not in fact earned will then carry over(although this might have changed with the new CBA), but I don't know about generally unused space.
Chase, it certainly seems reasonable to me that some teams may not spend to the cap every year, or at the very least end up spending any extra space they would have from lower draft picks in a sub-optimal way. It's certainly something to keep in mind when considering this study.