This article is a continuation of the last two articles where we
investigated historical QB and
WR performance. Recall that
in those articles we dug into the distribution of each player’s
historical scores. We noted that if two players both score a lot
of points, that in some cases we might prefer the player to be consistent
than to not. And we isolated some specific players that stood out
as being more or less consistent than their peers. We concluded
with practical advice that we hope might be useful to some in upcoming
fantasy drafts. This week, we apply the same idea to RB’s.
Approach
We focus on only the last four seasons. Our intention is to consider
only games in which a fantasy football manager would have considered
starting the player. Prior articles (on
QB and WR) go into our subjective method of choosing the games to
include in some more detail. This time around we take a similar
approach and apply it to RB’s.
The table below shows the sample size we get for each player.
Sample Of RBs |
Player |
Sampe Size (Games) |
Adrian Peterson |
28 |
Brandon Jacobs |
37 |
Brian Westbrook |
53 |
Cedric Benson |
36 |
Chris Johnson |
15 |
Clinton Portis |
53 |
DeAngelo Williams |
42 |
Frank Gore |
50 |
Jamal Lewis |
58 |
Joseph Addai |
40 |
Kevin Smith |
15 |
LaDainian Tomlinson |
60 |
Larry Johnson |
49 |
LenDale White |
30 |
Marion Barber |
53 |
Marshawn Lynch |
27 |
Matt Forte |
15 |
Maurice Jones-Drew |
43 |
Michael Turner |
15 |
Pierre Thomas |
7 |
Reggie Bush |
37 |
Ronnie Brown |
48 |
Ryan Grant |
24 |
Steve Slaton |
15 |
Steven Jackson |
52 |
Thomas Jones |
59 |
Tim Hightower |
15 |
Willie Parker |
54 |
|
Note that since we look at 4 years of games in Weeks 1 through 16
the maximum possible total is 60 (4 years of 15 non-bye weeks).
LaDainian Tomlinson is the only running back with a sample size
of the full 60 games. Thomas Jones and Jamal Lewis are not too far
behind with 59 and 58 respectively. Pierre Thomas has the smallest
sample size. Sometimes having more information is useful, and we
should keep this small sample size for Pierre Thomas in mind when
interpreting results. Scoring
We focus again on a PPR scoring system, consistent with last week’s
article on WR’s.
PPR Scoring |
FPts Per Yard
Rush/Rec |
FPts TD
Rush /Rec |
PPR |
Fumbles Lost |
0.1 |
6 |
.5 |
-2 |
|
We award points for both rushing and receiving, and we give no credit
for special teams or passing.
Totals
Let’s start by looking at the average fantasy points scored
per game under this set of assumptions. We look at the points per
game rather than the total points, since we don’t want to
imply a player has been more valuable just because they have been
around for more seasons.
Running Backs - FPts / Game |
Rank |
Player |
FPts/G |
1 |
LaDainian Tomlinson |
21.5 |
2 |
Pierre Thomas |
19.7 |
3 |
Brian Westbrook |
19.5 |
4 |
Matt Forte |
17.6 |
5 |
Larry Johnson |
17.5 |
6 |
Steven Jackson |
17.0 |
7 |
Adrian Peterson |
16.9 |
8 |
Michael Turner |
16.7 |
9 |
Maurice Jones-Drew |
15.4 |
10 |
Chris Johnson |
15.2 |
11 |
Steve Slaton |
15.2 |
12 |
Clinton Portis |
14.8 |
13 |
Frank Gore |
14.7 |
14 |
Joseph Addai |
14.0 |
15 |
Reggie Bush |
14.0 |
16 |
Marshawn Lynch |
13.9 |
17 |
Thomas Jones |
13.3 |
18 |
Ronnie Brown |
13.3 |
19 |
Marion Barber |
13.1 |
20 |
Ryan Grant |
12.7 |
21 |
Willie Parker |
12.5 |
22 |
Brandon Jacobs |
12.3 |
23 |
Kevin Smith |
11.6 |
24 |
DeAngelo Williams |
11.5 |
25 |
Jamal Lewis |
11.4 |
26 |
LenDale White |
11.0 |
27 |
Tim Hightower |
9.4 |
28 |
Cedric Benson |
8.3 |
|
LaDainian Tomlinson is at the top, which probably isn’t going to
shock anyone. Pierre Thomas is next, which is probably less expected.
Keep in mind, we’re only considering 7 of his games, the last 7
games of last season. So you’ll have to interpret for yourself how
meaningful those are. DeAngelo Williams stands out at being close
to the bottom, highlighting the fact that last season’s breakout
was not a standard performance for him. His value is obviously sensitive
to the week-to-week carry split with Stewart, and we assume that
a fantasy owner can’t tell in advance who will get more carries,
which is probably consistent with reality for the most part.This
gives us some perspective on the average fantasy points per game
the top RB’s have been scoring over the past few years. We
continue our analysis by next investigating the distribution of
their scores per game.
Volatility (and Coefficient of Variation)
Volatility is a measure which quantifies how widely a data set varies
from its mean. If a player scores about the same amount of points
almost every game, his scores will tend to have low volatility.
If a player is just as likely to score 40 points in a week as 0,
then his scores will tend to exhibit higher volatility. Let’s
look at the volatility of the RB scores.
Running Backs - Volatility |
Rank |
Player |
Volatility |
1 |
LaDainian Tomlinson |
11.4 |
2 |
Adrian Peterson |
10.8 |
3 |
Michael Turner |
10.4 |
4 |
Larry Johnson |
10.3 |
5 |
DeAngelo Williams |
9.9 |
6 |
Brian Westbrook |
9.7 |
7 |
Joseph Addai |
9.4 |
8 |
Reggie Bush |
8.7 |
9 |
Steven Jackson |
8.5 |
10 |
Willie Parker |
8.4 |
11 |
Marion Barber |
8.3 |
12 |
Ronnie Brown |
8.2 |
13 |
Chris Johnson |
8.0 |
14 |
Frank Gore |
7.9 |
15 |
Maurice Jones-Drew |
7.9 |
16 |
Pierre Thomas |
7.8 |
17 |
Jamal Lewis |
7.6 |
18 |
Steve Slaton |
7.5 |
19 |
LenDale White |
7.4 |
20 |
Brandon Jacobs |
7.2 |
21 |
Ryan Grant |
6.8 |
22 |
Clinton Portis |
6.8 |
23 |
Thomas Jones |
6.6 |
24 |
Marshawn Lynch |
6.1 |
25 |
Kevin Smith |
5.2 |
26 |
Cedric Benson |
5.1 |
27 |
Matt Forte |
4.7 |
28 |
Tim Hightower |
4.5 |
|
Note the high scoring RB’s tend to have higher volatility and the
low scoring RB’s tend to have lower volatility. (two notable exceptions
are Matt Forte and Pierre Thomas). Part of this might be due to
the higher scoring RB’s being more volatile, but another piece is
due to the fact that just looking at the volatility without scaling
it for their average scores will tend to effectively overstate the
volatility for the high players and understate it for the lower
players.
Let’s scale their volatility by their average score. In other
words, we’ll look at their coefficient of variation (CV).
This will allow us to compare RB’s who average low scores
against those who average high scores a little bit better.
Coefficient of Variation |
Rank |
Player |
CV |
1 |
DeAngelo Williams |
0.86 |
2 |
LenDale White |
0.68 |
3 |
Joseph Addai |
0.67 |
4 |
Willie Parker |
0.67 |
5 |
Jamal Lewis |
0.66 |
6 |
Adrian Peterson |
0.64 |
7 |
Marion Barber |
0.63 |
8 |
Reggie Bush |
0.62 |
9 |
Michael Turner |
0.62 |
10 |
Cedric Benson |
0.62 |
11 |
Ronnie Brown |
0.62 |
12 |
Larry Johnson |
0.59 |
13 |
Brandon Jacobs |
0.59 |
14 |
Frank Gore |
0.54 |
15 |
Ryan Grant |
0.54 |
16 |
LaDainian Tomlinson |
0.53 |
17 |
Chris Johnson |
0.53 |
18 |
Maurice Jones-Drew |
0.52 |
19 |
Steven Jackson |
0.50 |
20 |
Thomas Jones |
0.50 |
21 |
Brian Westbrook |
0.49 |
22 |
Steve Slaton |
0.49 |
23 |
Tim Hightower |
0.48 |
24 |
Clinton Portis |
0.46 |
25 |
Kevin Smith |
0.45 |
26 |
Marshawn Lynch |
0.44 |
27 |
Pierre Thomas |
0.40 |
28 |
Matt Forte |
0.27 |
|
- Matt Forte and Pierre Thomas score a lot of points, and they
do it with a low coefficient of variation. That is, in their
sample, they not only score a lot but they do it consistently.
Matt Forte especially stands out here in that he has a bigger
sample and his CV is much lower than anyone else. It’s worth
noting that both of these players have a small sample size.
- Tim Hightower and Kevin Smith don’t score many points, and
their CV is low. This means that they do not score many points,
and they are pretty consistent at doing it.
- LenDale White does not score a lot of points on average, but
he has a high relative CV.
So does this tell us we should take Pierre Thomas #2 in our fantasy drafts? Not exactly. It does tell us that Matt Forte and Pierre Thomas have scored a lot of points historically and they have done it consistently. Those are favorable characteristics to have and they compare favorably to some of their peers in that regard. Their sample (especially Pierre Thomas’s) is fairly small. When choosing a running back in the later rounds of a draft, the available options probably will not be scoring a lot of points historically on average. If they were, then they probably would tend to have been picked earlier (Larry Johnson is one exception this year, as views of his future performance tend to be a lot worse than those of his historical performance). When choosing a RB like that, a high coefficient of variation tends to be more attractive than a low one. In other words, if a RB doesn’t score many points on average, then it’s preferable for him to be inconsistent than consistently bad. In some ways when people talk about a player with a low average score with upside, they are indirectly referring to a high coefficient of variation.
Distribution of Scores
Next we investigate the distribution of scoring per game of each
running back. The following table shows the maximum, minimum,
and percentiles of scores for each player. 90th percentile indicates
90% of the time the player scores less than that score. Median
indicates 50% of the time he scores more, 50% of the time he scores
less. The table is sorted by the median score.
So 90% of the time Brian Westbrook scores less than 35.7 fantasy
points, but 10% of the time he scores more.
Distribution |
Rk |
Player |
Max |
0.9 |
0.75 |
0.5 |
0.25 |
0.1 |
Min |
1 |
Pierre Thomas |
30.1 |
27.4 |
24.5 |
22.4 |
13.9 |
10.5 |
8.5 |
2 |
Brian Westbrook |
42.6 |
35.7 |
23.2 |
18.7 |
14.1 |
8.0 |
1.2 |
3 |
LaDainian Tomlinson |
46.9 |
41.0 |
29.9 |
17.5 |
13.1 |
9.5 |
5.0 |
4 |
Larry Johnson |
43.1 |
31.5 |
23.7 |
17.2 |
10.1 |
3.9 |
(0.7) |
5 |
Matt Forte |
25.1 |
23.8 |
21.1 |
17.1 |
13.5 |
12.9 |
11.0 |
6 |
Steven Jackson |
38.2 |
27.3 |
22.5 |
15.7 |
11.4 |
6.9 |
1.7 |
7 |
Steve Slaton |
31.2 |
21.9 |
21.0 |
15.5 |
10.0 |
6.5 |
3.4 |
8 |
Adrian Peterson |
48.0 |
26.9 |
22.0 |
15.3 |
8.1 |
6.6 |
0.3 |
9 |
Clinton Portis |
29.8 |
22.9 |
18.7 |
14.6 |
8.8 |
5.9 |
3.6 |
10 |
Chris Johnson |
26.4 |
24.9 |
22.6 |
14.0 |
8.3 |
5.7 |
3.3 |
11 |
Michael Turner |
35.7 |
32.4 |
22.7 |
13.9 |
8.0 |
5.6 |
5.3 |
12 |
Marshawn Lynch |
28.7 |
20.3 |
17.3 |
13.9 |
9.1 |
7.7 |
4.0 |
13 |
Frank Gore |
38.9 |
24.3 |
20.8 |
13.8 |
8.8 |
4.6 |
1.6 |
14 |
Maurice Jones-Drew |
32.4 |
27.2 |
21.0 |
13.2 |
9.4 |
6.0 |
4.5 |
15 |
Thomas Jones |
32.9 |
20.3 |
17.2 |
12.9 |
8.0 |
6.4 |
3.2 |
16 |
Reggie Bush |
45.3 |
25.6 |
16.4 |
12.9 |
7.0 |
5.8 |
3.7 |
17 |
Marion Barber |
33.4 |
23.7 |
19.5 |
12.4 |
5.5 |
3.1 |
(0.1) |
18 |
Kevin Smith |
18.9 |
18.1 |
15.3 |
12.3 |
8.5 |
5.4 |
1.4 |
19 |
Joseph Addai |
45.8 |
27.8 |
19.3 |
11.9 |
6.6 |
5.0 |
0.3 |
20 |
Ronnie Brown |
42.1 |
21.7 |
16.5 |
11.8 |
7.9 |
5.3 |
0.5 |
21 |
Brandon Jacobs |
27.7 |
21.0 |
17.5 |
11.3 |
5.8 |
3.7 |
1.6 |
22 |
Ryan Grant |
23.2 |
22.3 |
18.0 |
11.0 |
8.9 |
3.6 |
0.6 |
23 |
Willie Parker |
35.5 |
24.5 |
17.9 |
10.6 |
5.7 |
2.9 |
(0.1) |
24 |
LenDale White |
34.1 |
20.6 |
14.5 |
10.6 |
5.6 |
2.1 |
(0.1) |
25 |
Jamal Lewis |
36.4 |
20.7 |
15.9 |
8.9 |
5.9 |
3.7 |
0.8 |
26 |
Tim Hightower |
18.5 |
16.1 |
10.9 |
8.3 |
6.7 |
4.5 |
3.5 |
27 |
DeAngelo Williams |
34.8 |
26.7 |
17.7 |
7.5 |
3.8 |
2.2 |
(0.1) |
28 |
Cedric Benson |
19.2 |
15.8 |
11.4 |
7.0 |
3.8 |
2.7 |
0.6 |
|
The least points Matt Forte has scored is 11. That’s a lot of points
for a worst day. Note that it is higher than the median performance
of players including Ryan Grant, LenDale White, DeAngelo Williams,
and Cedric Benson.
The following table shows the same ideas expressed as a ranking
rather than raw scores (again sorted by the median).
Ranking |
Rk |
Player |
Max |
0.9 |
0.75 |
0.5 |
0.25 |
0.1 |
Min |
1 |
Pierre Thomas |
19 |
6 |
2 |
1 |
2 |
2 |
2 |
2 |
Brian Westbrook |
6 |
2 |
4 |
2 |
1 |
4 |
17 |
3 |
LaDainian Tomlinson |
2 |
1 |
1 |
3 |
4 |
3 |
4 |
4 |
Larry Johnson |
5 |
4 |
3 |
4 |
6 |
20 |
28 |
5 |
Matt Forte |
24 |
15 |
9 |
5 |
3 |
1 |
1 |
6 |
Steven Jackson |
9 |
7 |
7 |
6 |
5 |
6 |
13 |
7 |
Steve Slaton |
18 |
19 |
10 |
7 |
7 |
8 |
10 |
8 |
Adrian Peterson |
1 |
9 |
8 |
8 |
15 |
7 |
22 |
9 |
Clinton Portis |
20 |
17 |
15 |
9 |
12 |
11 |
8 |
10 |
Chris Johnson |
23 |
12 |
6 |
10 |
14 |
13 |
11 |
11 |
Michael Turner |
11 |
3 |
5 |
11 |
16 |
14 |
3 |
12 |
Marshawn Lynch |
21 |
24 |
20 |
11 |
9 |
5 |
6 |
13 |
Frank Gore |
8 |
14 |
12 |
13 |
11 |
18 |
14 |
14 |
Maurice Jones-Drew |
17 |
8 |
10 |
14 |
8 |
10 |
5 |
15 |
Thomas Jones |
16 |
25 |
21 |
15 |
17 |
9 |
12 |
16 |
Reggie Bush |
4 |
11 |
23 |
16 |
19 |
12 |
7 |
17 |
Marion Barber |
15 |
16 |
13 |
17 |
26 |
24 |
24 |
18 |
Kevin Smith |
27 |
26 |
25 |
18 |
13 |
15 |
16 |
19 |
Joseph Addai |
3 |
5 |
14 |
19 |
21 |
17 |
22 |
20 |
Ronnie Brown |
7 |
20 |
22 |
20 |
18 |
16 |
21 |
21 |
Brandon Jacobs |
22 |
21 |
19 |
21 |
23 |
21 |
14 |
22 |
Ryan Grant |
25 |
18 |
16 |
22 |
10 |
23 |
19 |
23 |
Willie Parker |
12 |
13 |
17 |
23 |
24 |
25 |
24 |
24 |
LenDale White |
14 |
23 |
26 |
24 |
25 |
28 |
24 |
25 |
Jamal Lewis |
10 |
22 |
24 |
25 |
22 |
22 |
18 |
26 |
Tim Hightower |
28 |
27 |
28 |
26 |
20 |
19 |
9 |
27 |
DeAngelo Williams |
13 |
10 |
18 |
27 |
28 |
27 |
24 |
28 |
Cedric Benson |
26 |
28 |
27 |
28 |
27 |
26 |
19 |
|
The table is sorted by the ranking of their median performance from
best to worst. The 2 for Brian Westbrook under 0.9 indicates that
the 90th percentile score of Brian Westbrook is the 2nd highest
90th percentile score of all the players considered.
The 1 for Adrian Peterson under Max indicates that his highest score
is the highest high score of all the players considered. The 22
under Min indicates that his lowest score is lower than all but
6 wide receivers.
Let’s step back and see if anything stands out.
- Pierre Thomas – there he is again. He has the highest median
score. And he scores in the top 6 at all percentiles. This means
his good days are better than most other’s good days. And his
bad days are better than their bad days too. This is a good
combination. Keep in mind (especially in this stat) that his
sample size is small. It remains to be seen if he can keep this
up, but this is certainly a great start for him.
- Joseph Addai is in the top 5 at the high end, indicating his
good days have been better than most. But they drop quickly
and at the middle and bottom his scores range from mediocre
to bad, indicating his average days and bad days are worse than
most.
- Adrian Peterson scores well at most percentiles, but lower
than some might expect.
- Maurice Jones-Drew scores in the middle of the pack to above
average for the most part, and has no glaring bad points. It
will be interesting to see if he is able to break out now that
he is moving more towards a primary back role than his traditional
shared role with Fred Taylor.
- Even in this PPR format, Reggie Bush has a profile that is
not all that attractive. Note that his 75th percentile good
day is just barely ahead of Cedric Benson and Tim Hightower.
For a RB known for his “upside” this is a little disappointing
to see.
- Larry Johnson’s profile is better than you might expect, even
after last season’s disappointment. He scores in the top 6 of
all RB’s at most percentiles.
- LaDainian Tomlinson has the most attractive profile, scoring
in the top 4 at every percentile. If you think about this, this
is actually kind of amazing. This means that his good days are
better than almost everyone, his average days are better than
almost everyone, and even his bad days are better than almost
anyone He also happens to have the highest average score too.
And on top of that, he’s played in every game in the 4-year
sample. It’s no surprise that LaDanian Tomlinson shines through
positively every way you look at him historically.
There’s not a lot of shocking stuff in the analysis we presented. The big name RB’s shine through positively for the most part, roughly in line with (at least my) expectations at the start. Conclusion We highlighted some wide receivers that have scored well against their peers anyway you look at it. Most of the “top-tier” RB’s score well across the board, but LaDainan Tomlinson really stands out from the crowd. Matt Forte is another RB who stands out favorably among the top RB’s. Pierre Thomas stands out as the biggest surprise in just how favorable he looks, although it’s important to keep in mind he has a small sample. LenDale White stands out favorably against his peers at the bottom end of the top RB’s. Sometimes having good perspective about the performance of available players historically is useful. This article aims to help build some of that perspective, and I hope you find it useful.
Obviously you would rather have your players score a lot of points
and be a little inconsistent than score few and be consistent.
When comparing peers who score a similar amount of points, sometimes
you are looking for someone a little more consistent, and sometimes
you are looking for someone with a little more upside (i.e. volatility).
Hopefully this article provides some numbers that help you to
do some comparisons like that in practice.
Next Steps
Next week will dig into the difference of PPR and non-PPR leagues,
and try to isolate some players who have stood out in the past
and might stand out in the future. As always, feel free to contact
me with any questions or suggestions. See you next week!
|