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The Limitations of Yards Per Target

While writing up the wide receiver section for our football magazine the last several years, I've noticed a few things about wideout stats that hadn't initially occurred to me. For starters, it turns out that deep threats as a group average more yards per target than possession receivers.

At first glance, this might seem obvious - they catch longer passes, therefore, they're likely to average more yards per pass thrown. But the length of the pass is to some degree offset by the difficulty in catching it. In other words, yards per target (or receiver efficiency) has two components, only one of which is yards per catch. The other is catch percentage, and possession receivers like Wes Welker and T.J. Houshmandzadeh always crush their deep-threat counterparts by that measure.

Still, it turns out that the yards per catch factor is bigger than the catch percentage one, and so deep threats average more yards per target than possession wideouts. One might think that means teams ought to call more downfield throws considering they give you more bang for the buck. And that would almost certainly be the case if the rules were changed so that one needed 20 yards rather than 10 for a first down. But because short throws often get you first downs, their greater likelihood of success outweighs (in football importance), their lack of overall efficiency. Put differently. if you have a 60 percent chance of getting 12 yards every play, that might be better than a 50 percent chance of getting 16 yards - even though 60 percent of 12 is 7.2, and 50 percent of 16 is 8.0 solely because only 10 yards is needed for a new set of downs. Converting a first down is itself a significant milestone, and so total efficiency isn't everything.

Another way of looking at this is to ask yourself whether you'd rather have an 80 percent chance to win 10 million dollars or a 50 percent chance of winning 25 million. The expected return for the later is far greater, but many (if not most) of us would choose the former because $10 million is enough. Likewise, on 3rd and 9, 10 yards is enough.

So while the yards per target stat is an important one, especially in fantasy, in real life we might want to think about double counting catch percentage and single counting yards per catch to form a new efficiency number. It's similar to people saying OBP should count double and SLG just once to form a better measure than OPS for offensive run production. And the real life stats are relevant in fantasy because teams want to win, and therefore players who contribute to that bottom line should see continued and increased opportunities.

Comments

By: Erik Siegrist
On: 6/22/2009 4:46:00 PM
Sounds like what you're looking for is some sort of 'diminishing returns' mechanism, so that a 20-yard catch on 3rd-and-10 isn't actually worth twice what a 10-yard catch in the same situation would be.

Welker's actually a great counter-example there -- he caught 111 passes on 152 targets, but only 57 of those catches resulted in first downs (51.4%, a fairly miserable percentage when compared to other top-30 WRs), so whatever 'efficiency number' you come up with probably shouldn't be rewarding someone like him.
 
By: Erik Siegrist
On: 6/22/2009 4:57:00 PM
I wonder if it could be as simple as just adding an extra 10 yards per first down to the yards per target formula... call it EYpT (Efficient Yards per Target)... hmm. Time to break out Excel...
 
By: andtinez
On: 6/22/2009 10:53:00 PM
Liss, thoughts on this and Eddie Royal (3D tout) and Lance Moore?
 
By: Chris Liss
On: 6/23/2009 10:23:00 AM
You're right that Welker would benefit far too much from the proposed formula, so first downs should be taken into account, but that's also imperfect because I'd rather get nine and a half yards on first and 10 than 10 yards. So on first down, it really doesn't matter whether you are a couple yards short. On second down it matters a little, though 3rd and 2 is probably at least equal to first and 10 in terms of conversion rate. On third down is where it really matters. Eddie Royal was used like Welker last year, but he actually has deep speed. Would be odd if Orton got it to him downfield when Cutler only dinked and dunked, but it could happen with the new coaching regime. Lance Moore is very similar to Welker, and I doubt he'll have all those red-zone throws again. His targets will also go down with Colston and Bush healthy - at least for now.
 
By: Erik Siegrist
On: 6/23/2009 11:07:00 AM
Really, what I think you're driving at is something akin to baseball's expected run matrix, or what Fangraphs has been doing with linear weights, where gaining three yards on 1st-and-10 is 'worth more' (has more utility) than gaining nine yards on 4th-and-10 would be.

Hmm. First you'd have to figure out the average number of sets of downs per score, so that you could assign a point value to continuing the drive (i.e. if the average TD requires three first downs, then a first down is worth 2 points, or a third of a TD... same calculation for field goals, and for failed drives).

Then you'd have to figure out the first down conversion rates based on different outcomes (i.e. drives convert from 2nd-and-7 40% of the time) so that you could assign a point value to each of those outcomes (in my completely made-up scenario above, a three yard gain on 1st-and-10 would then be worth 0.8 points, or 40% of 2 points).

I'm sure there's a couple of factors I'm missing and it'd be a massive undertaking, but I'd think it would be doable, since the needed info is all available. (Of course for all I know somebody at FO has already done all this and I just hadn't noticed.) And while I'm not sure how useful it would be in the long run, it would definitely be cool to be able to say "Larry Fitzgerald produced 0.035 points per target, while Steve Smith produced just 0.028."
 
By: Chris Liss
On: 6/23/2009 11:26:00 AM
Though you'd have to take into account whether a WR is always double-covered, thereby creating opportunities for his teammates, and also how the WR fares compared to other receivers on his team.
 

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