Most Valuable Rebounding Guards

And now back to our regularly scheduled program…

One way to look at the value of a player, in terms of rebounding, is the difference in team rebounding rate with him on and off the floor. You can think of this like a +/- for rebounding. The focus of most discussions/debates on rebounding (see here or here for recent examples) tends to be on forwards and centers, simply because they get the most rebounds. As it’s often good practice to test assumptions, I wanted to look at the effects of on/off rebounding rates for guards, to see what effect, if any, they actually do have. It turns out, somewhat to my surprise, that the “marginal” value of guard rebounding for many teams is quite high (as can be seen from the tables). Note that I keep using the word value and not ability. It is very important to distinguish these terms, because they are not necessarily the same, in terms of on/off rates. Here are some of the factors that could generate varying on/off rates (there are surely many others):

  1. The player is genuinely a “good” rebounder (relative to other guards in the league).
  2. The player has a “poor” backup (relative to other guards in the league).
  3. Conversely, the player may have a good backup(s), so his on/off rates appear lower.
  4. A starter is surrounded by better rebounders relative to a backup who comes in with the second unit.

Here, (1) represents the player’s ability, whereas (2) and (3) represent, respectively, high and low marginal value. (4) is a confounding factor that mucks up value and ability simultaneously, and should be controlled for. It should be clear why it is so important to differentiate the two concepts. Right? Ok, so let’s get to the data. The following table lists the composite on/off rebounding (offensive + defensive) rates in 2009-10 for all guards who played over 800 minutes during the season (Note: a value of +1% would mean that the team rebounding rate drops by 1 percentage point when that player is off the floor):

On/Off rates were collected from

Ranking Player Team Total Rebounding Value
1 Holiday, Jrue PHI 6.5%
2 West, Delonte CLE 5.2%
3 Sessions, Ramon MIN 5.1%
4 Miller, Andre POR 4.8%
5 Kidd, Jason DAL 4.5%
6 Stuckey, Rodney DET 4.1%
7 Price, Ronnie UTA 4.1%
8 Arenas, Gilbert WAS 4.1%
9 Fisher, Derek LAL 3.6%
10 Wade, Dwyane MIA 3.2%
11 Peterson, Morris NOH 3.0%
12 Bibby, Mike ATL 2.9%
13 Lowry, Kyle HOU 2.8%
14 Duhon, Chris NYK 2.7%
15 Allen, Tony BOS 2.7%
16 House, Eddie BOS 2.7%
17 Ellington, Wayne MIN 2.6%
18 Rose, Derrick CHI 2.6%
19 Carter, Vince ORL 2.4%
20 Harris, Devin NJN 2.2%
21 Miles, C.J. UTA 2.1%
22 Richardson, Jason PHX 2.0%
23 Jennings, Brandon MIL 1.9%
24 Ellis, Monta GSW 1.7%
25 Udrih, Beno SAC 1.7%
26 Hinrich, Kirk CHI 1.6%
27 Brown, Devin NOH 1.5%
28 Williams, Marcus MEM 1.5%
29 Dragic, Goran PHX 1.2%
30 Douglas-Roberts, Chris NJN 1.2%
31 Augustin, D.J. CHA 1.2%
32 Douglas, Toney NYK 1.1%
33 Rondo, Rajon BOS 1.0%
34 Lawson, Ty DEN 1.0%
35 Calderon, Jose TOR 0.8%
36 Billups, Chauncey DEN 0.7%
37 Harden, James OKC 0.7%
38 Weems, Sonny TOR 0.7%
39 Hill, George SAS 0.6%
40 Price, A.J. IND 0.5%
41 Bryant, Kobe LAL 0.5%
42 Arroyo, Carlos MIA 0.5%
43 Thornton, Marcus NOH 0.4%
44 Ford, T.J. IND 0.3%
45 Maynor, Eric OKC 0.1%
46 Matthews, Wes UTA 0.0%
47 Parker, Tony SAS -0.0%
48 Nelson, Jameer ORL -0.1%
49 Westbrook, Russell OKC -0.2%
50 Mason, Roger SAS -0.2%
51 Carter, Anthony DEN -0.2%
52 Murray, Ronald (Flip) CHA -0.5%
53 Terry, Jason DAL -0.6%
54 Watson, Earl IND -0.7%
55 Jack, Jarrett TOR -0.8%
56 Crawford, Jamal ATL -0.8%
57 Ridnour, Luke MIL -0.8%
58 Johnson, Joe ATL -1.1%
59 Watson, C.J. GSW -1.1%
60 Bell, Charlie MIL -1.2%
61 Davis, Baron LAC -1.2%
62 Bayless, Jerryd POR -1.3%
63 Conley, Mike MEM -1.5%
64 Gibson, Daniel CLE -1.6%
65 Redick, J.J. ORL -1.7%
66 Collison, Darren NOH -1.7%
67 Foye, Randy WAS -1.9%
68 Gordon, Eric LAC -2.0%
69 Green, Willie PHI -2.1%
70 Head, Luther IND -2.3%
71 Williams, Mo CLE -2.5%
72 Paul, Chris NOH -2.6%
73 Williams, Jason ORL -2.7%
74 Nash, Steve PHX -2.7%
75 Felton, Raymond CHA -2.7%
76 Dooling, Keyon NJN -2.8%
77 Bynum, Will DET -3.0%
78 Parker, Anthony CLE -3.1%
79 Fernandez, Rudy POR -3.2%
80 Blake, Steve POR -3.3%
81 Chalmers, Mario MIA -3.3%
82 Curry, Stephen GSW -3.4%
83 Barea, Jose DAL -3.5%
84 Bogans, Keith SAS -3.6%
85 Young, Nick WAS -3.7%
86 Brooks, Aaron HOU -4.1%
87 Boykins, Earl WAS -4.2%
88 Pargo, Jannero CHI -4.4%
89 Mayo, O.J. MEM -4.4%
90 Farmar, Jordan LAL -4.5%
91 Williams, Louis PHI -4.9%
92 Evans, Tyreke SAC -5.2%
93 Williams, Deron UTA -5.6%
94 Martin, Kevin HOU -6.0%
95 Flynn, Jonny MIN -6.6%
96 Gordon, Ben DET -8.8%

Having seen the data, one is tempted to conclude that Jrue Holiday is the “best” rebounding guard in the league, and that Ben Gordon is the “worst” rebounding guard. Of course, I wouldn’t do that, as I’ve just explained above how these rates reflect marginal value, and not necessarily player ability. I’ll save those debates for future posts, when I have more data to back up my conclusions. Finally, it should be obvious that everything I have said and done here can (and should) be done for other positions. Comments? Suggestions? Fire away…

4 responses to “Most Valuable Rebounding Guards

  1. Thanks for starting this. I’ve been looking at guard rebounding a bit, and 4 seems to actually occur a lot – controlling for it is difficult as far as I can tell. But maybe I’m just being lazy on it, and I kinda suck at matrices.

  2. There is a way to do this, “simply” by finding the 5-man units where all four teammates are the same and averaging the on/off rates for those units for each player. All the data are available The problem is not finding the data, it’s automating the process. I plan to brute force it for a few of the players at the top and bottom of this list in the near future, but going through the whole list (let alone the entire league) appears daunting for anyone with a day job. ;)

  3. Pingback: Podcast: Coming Up Big « Nerd Numbers the Blog

  4. Pingback: Around the WOW ( as of 12/05/2010) « Arturo's Silly Little Stats

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s