# When Does Yards After Catch Stabilize for Tight Ends?

In my last four posts, I presented a series of analyses respecting the game-to-game consistency of air yards, or what Pro Football Focus calls average depth of target (aDOT). In a sentence, I found that aDOT stabilizes fastest for WRs (4 games), followed by TEs (9 games), QBs (10 games), and RBs (14 games). For these next four posts, I turn my attention toward the other main variable in the passing/receiving yardage equation, yards after catch (YAC). When I’m done, in addition to the raw reliability stats, we’ll also be able to answer a couple of questions about YAC vis-a-vis aDOT:

• For a given position, is YAC a more reliable indicator of “skill” than was aDOT?
• Is the rank-order of aDOT reliability between positions the same as that of YAC?

Because variety is the spice of life (or perhaps just to build suspense), I’m going to present my YAC analyses in reverse order: TEs first, then WRs, then RBs, then QBs.

### Methods

As always, below is the standard procedure I use to determine a stat’s stabilization point; this time applied to TE YAC:

1. I collected YAC data for all TEs that played at least 8 games for the same team from 2006 to 2016.
2. Starting with TEs that played 8+ games for the same team, I randomly selected two sets of 4 games for each TE and calculated their YAC in both sets.
3. I calculated the split-half correlation (r) between the two randomly-selected sets of games.
4. I performed 25 iterations of Steps 2 and 3 so that r converged.
5. I repeated Steps 2-4 in 8-game intervals, from 16+ games all the way to 72+ games.
6. For each “games played” interval, I calculated
1. the number of games at which the YAC variance explained, R2, would mathematically equal 0.5.1
2. the “true” YAC for a hypothetical TE that’s had an observed performance of 5.00 YAC through that number of games.2
7. I calculated a weighted average of the results from Step 6.3

### Results and Discussion

Below is the familiar stability table, this time for TE YAC:

GamesnrR2 = 0.50Avg YACObs 5.00 YAC
Wtd Average224.624.81
43200.14244.544.77
81970.27214.634.81
121420.33244.644.82
161060.43214.684.84
20800.49204.634.81
24540.57184.694.84
28380.55234.654.83
32250.59224.704.85
36200.65204.774.88

Right off the bat, the “Wtd Average” row gives us a partial answer to our first question: Whereas TE aDOT stabilized in 8 games, TE YAC takes 22 games to stabilize. Given my sample average of 2.6 receptions, 3.8 targets and 18.2 routes run per game, this equates to about 58 receptions, 84 targets, and 408 routes. That’s … not a good sign. Extending the comparison a bit further by considering the five TE stats I’ve analyzed previously, it turns out that TE YAC is also less reliable than targets per route run (TPRR, 13 games), receptions per route run (RPRR, 14 games), and yards per route run (YPRR, 17 games), but actually more reliable than touchdowns per route run (TDPRR, 41 games). And of course, as I’ve already (repeatedly) revealed it to be the nut low receiving stat, TE yards per target (YPT, 52 games) brings up the rear.

One other result worth noting in comparison to previous analyses respects the Wtd Average YAC for TEs. Namely, if we assume that a TE’s incomplete targets don’t have a significantly different aDOT from their complete targets,4 then 4.62 YAC vs. 8.14 aDOT suggests that only about 36 percent of a TE’s receiving yards comes from what he does after the catch. This is by no means a mind-blowing finding, but it’s nevertheless a fundamental reality — a base rate if you will — that seems to go underappreciated in conversations about individual TE “skill.”

As always, based on the above results, I’ll end this post with a sortable, searchable table that converts Actual YAC into True YAC for TEs that played at least 25 percent of snaps in 2016 per Pro Football Focus:

PlayerTmGRecActual YACRkTrue YACRk
Travis KelceKC16857.756.41
Martellus BennettNE16557.566.02
Rob GronkowskiNE8258.725.83
Vance McDonaldSF10248.725.74
Levine ToiloloATL131311.215.75
Erik SwoopeIND9158.725.46
Lance KendricksLA16505.4134.97
Brent CelekPHI10146.684.98
Hunter HenrySD13365.5124.99
Ed DicksonCAR10107.174.910
Jimmy GrahamSEA16655.1164.811
Darren FellsARZ9146.194.812
Marcedes LewisJAX10205.7114.813
MarQueis GrayMIA8145.9104.814
Vernon DavisWAS15445.1164.815
Dion SimsMIA13265.2154.716
Jared CookGB10305.0184.717
Tyler EifertCIN8295.0184.718
Josh HillNO8155.3144.719
Zach MillerCHI10474.7244.620
Luke WillsonSEA10154.9214.621
Nick O'LearyBUF1095.0184.622
Greg OlsenCAR16804.6254.623
Anthony FasanoTEN984.9214.524
Brandon BostickNYJ884.8234.525
Virgil GreenDEN10224.6254.526
Austin HooperATL11194.6254.527
Darren WallerBLT7104.2314.528
Eric EbronDET13614.4284.429
Jacob TammeATL8224.3304.430
Kyle RudolphMIN16834.4284.431
Garrett CelekSF13294.0334.332
C.J. UzomahCIN8253.9364.333
Jack DoyleIND16594.1324.334
Will TyeNYG16484.0334.335
Jermaine GreshamARZ16373.9364.336
Tyler KroftCIN6102.9554.337
Clive WalfordOAK15333.8394.238
Mychal RiveraOAK10183.4504.239
Delanie WalkerTEN15654.0334.240
Brandon MyersTB772.0614.241
Trey BurtonPHI14373.7434.242
Jordan ReedWAS12663.9364.243
Coby FleenerNO16503.8394.244
C.J. FiedorowiczHST15543.8394.245
Gary BarnidgeCLV16553.8394.246
Richard RodgersGB15303.5484.247
Demetrius HarrisKC12172.9554.148
Tyler HigbeeLA11112.2604.149
Daniel BrownCHI6162.8574.150
Julius ThomasJAX9303.4504.151
Dwayne AllenIND14353.5484.152
Antonio GatesSD13533.6454.153
Jason WittenDAL15693.7434.154
Ben KoyackJAX9192.6584.055
Zach ErtzPHI14783.6454.056
Jesse JamesPIT16393.2534.057
Dennis PittaBLT16863.6454.058
Charles ClayBUF15573.4504.059
Ryan GriffinHST16503.2533.960
Cameron BrateTB15572.6583.661

I’ve got some space available, so let me take this rare opportunity to highlight some specific nuggets of info elucidated in these True YAC rankings. First, Travis Kelce’s combination of large sample size (i.e., 85 receptions) and fifth-ranked Actual YAC vaults him into the top spot of True YAC for 2016. In contrast, although Dennis Pitta had the largest sample size in the league (i.e., 86 receptions), regressing his 3.6 Actual YAC to the mean results in a lower True YAC ranking (58th vs. 45th) despite the value actually increasing to 4.0.

Second, my current deep sleeper for fantasy football purposes, Erik Swoope, avails himself quite nicely here, just as he did with respect to aDOT. Previously, despite only 21 targets last season, regressing his second-ranked Actual aDOT resulted in a third-ranked True aDOT. Similarly in the current context, despite only 15 receptions and a much noisier underlying stat, Swoope’s second-ranked Actual YAC still only drops to sixth per True YAC after regression to the mean.

### DT : IR :: TL : DR

In this first post on the reliability of YAC, I showed that it takes 22 games (or 58 receptions or 84 targets or 408 routes) to represent 50% skill and 50% luck for TEs. This is nearly three times as long as it takes for TE aDOT (aka air yards) to stabilize, as well as nearly twice as long as both targets and receptions per route run.

00

1. The formula is (Games/2)*[(1-r)/r]

2. The formula is [(Observed Performance * Games) + (League-Average Performance * Stabilization Point)] / (Observations + Stabilization Point)

3. Weighted by group size.

4. This is an empirical question, but allow me to go with the null hypothesis until someone runs the numbers.