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Top50 Players That Really Shouldn't Shoot That Much

The Mavericks opponent tonight got me into a nice little research about shot distribution in the NBA. Taking more shots than you should is a hot topic since Kobe decided he should go for 40 on every night. Against the Clippers on Saturday several guys went berserk over his shot selection on twitter as always and blamed him for the loss. But not so fast: Kobe had once again a gigantic USG% of 38.7%, but also scored a starter-best 1.18 Points Per Shot. So what? My numbers say, that if he indeed would have taken all the shots for the Lakers, they would have reached at least OT, if not more. OK, so this is according to PPS, but everybody easily understands that Kobe taking all shots wouldn't have resulted in Points = PPS*Team_Shots, because the defense would have quintuple-teamed him at some point. But it raised the question whether Kobe is really taking too many shot or if, adjusting to PPS in relation to the teammates PPS, he's not as selfish as suggested. Here's the data:

RankTeamPlayerUSG%PPST_PPSSkip%
1 DET Austin Daye 25.06% 0.418 0.870 44.77%
2 POR Marcus Camby 11.72% 0.573 0.968 37.83%
3 SAC Travis Outlaw 17.36% 0.578 0.959 35.28%
4 BOS Marquis Daniels 18.03% 0.561 0.930 35.04%
5 LAL Derek Fisher 12.50% 0.633 0.975 32.08%
6 UTA Earl Watson 12.87% 0.632 0.957 30.94%
7 NJN Shawne Williams 16.41% 0.584 0.884 30.04%
8 OKC Eric Maynor 18.38% 0.734 1.117 29.86%
9 TOR James Johnson 15.33% 0.621 0.926 29.36%
10 TOR Rasual Butler 15.47% 0.609 0.880 27.34%
11 DAL Lamar Odom 22.70% 0.704 1.029 26.29%
12 MIN Wesley Johnson 17.22% 0.614 0.877 26.17%
13 SAS T.J. Ford 17.29% 0.722 1.027 25.89%
14 NYK Toney Douglas 25.58% 0.690 1.009 25.60%
15 ORL Jameer Nelson 16.51% 0.754 1.048 24.54%
16 GSW Ekpe Udoh 16.61% 0.714 0.965 22.66%
17 POR Raymond Felton 20.46% 0.721 0.985 22.57%
18 PHX Grant Hill 20.04% 0.734 0.967 20.24%
19 OKC Nazr Mohammed 15.42% 0.822 1.065 19.98%
20 SAS James Anderson 19.99% 0.793 1.034 19.56%
21 NYK Landry Fields 14.95% 0.746 0.958 19.48%
22 LAL Metta World Peace 18.60% 0.694 0.899 19.39%
23 CHI Omer Asik 12.00% 0.688 0.859 17.93%
24 MIN Michael Beasley 24.65% 0.711 0.917 17.92%
25 CHI Joakim Noah 16.04% 0.767 0.966 17.86%
26 NJN Damion James 14.13% 0.644 0.807 17.84%
27 PHX Ronnie Price 19.67% 0.775 0.970 16.83%
28 BOS Jermaine O'Neal 14.08% 0.779 0.960 16.65%
29 NOH Al-Farouq Aminu 14.66% 0.709 0.872 16.38%
30 NJN Shelden Williams 13.34% 0.724 0.887 16.35%
31 SAC J.J. Hickson 17.49% 0.713 0.876 15.85%
32 CHA Corey Maggette 23.66% 0.749 0.933 15.78%
33 NYK Iman Shumpert 23.40% 0.720 0.891 15.41%
34 WAS John Wall 23.71% 0.666 0.822 15.18%
35 SAS Gary Neal 25.76% 0.843 1.046 15.17%
36 GSW Klay Thompson 18.92% 0.775 0.945 15.08%
37 DAL Jason Kidd 10.31% 0.753 0.900 14.89%
38 MIA Norris Cole 24.68% 0.784 0.966 14.88%
39 DEN Andre Miller 17.89% 0.857 1.039 14.85%
40 MEM Mike Conley 19.31% 0.831 0.996 13.79%
41 DAL Rodrigue Beaubois 23.21% 0.771 0.925 13.30%
42 MIN Darko Milicic 17.32% 0.729 0.855 12.51%
43 ORL Glen Davis 22.47% 0.755 0.894 12.47%
44 HOU Luis Scola 27.65% 0.829 0.989 12.25%
45 MIA Shane Battier 9.31% 0.786 0.903 11.94%
46 CHA Tyrus Thomas 16.12% 0.825 0.958 11.91%
47 SAC John Salmons 15.69% 0.728 0.841 11.56%
48 OKC Russell Westbrook 31.32% 0.854 1.016 11.53%
49 CHA Boris Diaw 17.12% 0.771 0.889 11.24%
50 BOS Rajon Rondo 22.84% 0.840 0.976 11.11%
Glossary & Comments
  • USG%: The percentage of the teams shots the player has taken
  • PPS: Points-Per-Shot
  • T_PPS: The teammates PPS while the player is on the floor
  • Skip%: My estimated percentage of shots the player should have skipped, because his teammates are so much better.

No Kobe? No Kobe!

That's because Kobe Bryant scores 0.980 PPS while his teammates combine for only 0.913. But here's room for improvement in my calculation. Of course the average of the teammates PPS can actually be lower than the players PPS, but nonetheless there could be another player with a better PPS out there, like Pau Gasol. This calculation suggests that Kobe should take 4.31% more shots, because he's better than the teammates average. But Pau Gasol should take 11.10% more shots, so when Kobe is teamed up with the Spaniard, #24 of course should give up shots to him. I might redo the calculation based on my lineup data and come up with something more specific in the future.

For Dallas we got Lamar, Kidd and Roddy in the list, which is not surprising. All of them have been subpar so far in shooting percentages and/or earning free throws and are surrounded by quality players in that regard.

Other intriguing names include Rookies Iman Shumpert and Cole, which take away shots from guys named LeBron, Wade, Melo and Amare.

Also Westbrook (takes away shots from Durant), Darko and Beasley (Love, Rubio) and so on.

After the jump we'll have a list for all teams and how much they would benefit from a better shot distribution: Take away shots from players that doesn't score that much and give them to players with a better PPS value. This is done by adjusting the USG% for PPS related to teammates PPS, then recalculate the new point-outcome and improvement for each team.

Have fun with it!

Star-divide

Team PPS AdjPPS Improvement
NYK 0.886 0.919 3.77%
TOR 0.864 0.886 2.58%
WAS 0.796 0.817 2.57%
POR 0.923 0.945 2.35%
DET 0.846 0.866 2.31%
MIN 0.882 0.902 2.25%
SAS 0.957 0.979 2.25%
BOS 0.919 0.940 2.22%
OKC 0.978 0.997 1.94%
CHI 0.904 0.920 1.86%
SAC 0.825 0.840 1.80%
PHX 0.917 0.933 1.74%
IND 0.876 0.891 1.72%
ORL 0.966 0.982 1.69%
DAL 0.910 0.925 1.63%
UTA 0.907 0.921 1.54%
HOU 0.902 0.916 1.51%
NJN 0.884 0.895 1.30%
MIL 0.872 0.883 1.24%
DEN 0.982 0.993 1.16%
CHA 0.858 0.868 1.15%
LAC 0.959 0.969 1.11%
GSW 0.907 0.915 0.98%
MIA 0.954 0.962 0.91%
MEM 0.871 0.878 0.78%
LAL 0.906 0.913 0.73%
ATL 0.925 0.932 0.68%
CLE 0.887 0.893 0.67%
PHI 0.977 0.983 0.61%
NOH 0.851 0.856 0.58%

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cmon Marc Stein

he has the mavs at no 10 in his power rankings behind bloody indiana, denver, philadelphia, clippers okc wtf

by dimitrious on Jan 16, 2012 12:56 PM CST reply actions  

I think it's fair enough

given the Mavs’ position last week. As the schedule toughens up for those teams and as the the team continue to find its groove, I expect our rank to go up slowly.

"The idea is not to block every shot. The idea is to make your opponent believe that you might block every shot."

- Bill Russell

by Marjun Raposon on Jan 16, 2012 5:46 PM CST via Android app up reply actions  

ya but, but, but the 5 game win streak the annihilation of some teams big win without Kidd

bah, i don’t mind 10 th place as much as indiana and philadelphia ahead of the mavs, that’s just silly

by dimitrious on Jan 16, 2012 6:53 PM CST up reply actions  

How to balance shooting

Thank you for this article! I love the stats, and it is very interesting to look at who should be taking the shots, and when. It is an extremely difficult job for the coach to instruct players in when they should be shooting. It is also tough for the players to know what is statistically the best shot for them to take, and when in the shot clock they should take it, and if they should avoid taking it because there is player X on the floor with them. Suffice it to say there are a lot of variables.

Speaking of which, can you share with us the exact equation you used to decide how many shots a player should skip? I might want to modify the math.

In particular, every player (unless their PPS is actually ZERO) is a threat to score. And, this is good, because we want to keep the opponent’s defense honest. So, every player should shoot sometimes. But, the better scorers should take more shots than the poor scorers. Since there are only 5 players on the floor at a time, better scorers should take more than 20% of the shots, and poorer scorers should take less than 20% of the shots.

So, it is clear that if a player has a lower PPS than his teammates, and his USG is above 20, he is taking too many shots. Conversely, if his PPS is more than his teammates, and his USG is less than 20, he should take more shots. However, if his PPS is less than his teammates, and his USG is less than 20, we cannot really say anything about whether or not he should adjust his shot selection. He could be doing exactly what the coach wants and needs, based on the offensive game plan.

You are right in focusing in on these players, who should change their behavior:

Daye, Odom, Douglas, Felton, Hill, Beasley, Shumpert, Wall, Neal, Cole, Beaubois, Davis, Scola, Westbrook, Rondo.

Now, there are 2 ways they could change their behavior: (1) reduce the number of shots they take – pass the ball! or (2) improve their shooting. I think that Lamar Odom is hoping to shoot himself into shape; he is hoping his game will come around.

On the other hand, I think that you have made a mistake regarding Jason Kidd. He should probably be taking more shots. Yes, he is not as efficient a scorer as other team members, but he hardly ever shoots. In particular, he should take more layups! How many times have you seen him pass up an open layup in favor of giving up the ball to a teammate? A lot, right? Weren’t you pleasantly surprised when he took that layup against the Kings?

And, finally, Marcus Camby is probably just about right in his USG. He definitely should not reduce his shots by 38%! That would drop his USG to 7.28.

by day1 on Jan 16, 2012 1:08 PM CST reply actions  

So proud of Roddy. 41!

@andytobo

by andytobo on Jan 16, 2012 1:12 PM CST reply actions  

Fantastic analysis

John Wall was actually the big surprise for me. You’d think he’s the only thing holding that team together, but maybe his overcompensation is hurting them…

by lemonbrigade on Jan 16, 2012 2:22 PM CST reply actions  

ahaha there's nothing holding that team together they're beyond bad

and such a collection of scrubs and selfish players they should be denied the first pick in next years draft, its a shame the craptors lost against them or the generals could’ve set all kinds of new records
the dream is still alive for 1-65 season though

by dimitrious on Jan 16, 2012 3:15 PM CST reply actions  

Kobe holding the ball too long puts his teammates in tougher shooting positions

Zach Lowe’s Point Forward post illustrates that when Kobe does deign to let someone else shoot, it’s often in bad locations and/or in the closing seconds of the shot clock. PPS doesn’t reflect the full story.

by fennsk1 on Jan 17, 2012 2:06 PM CST reply actions  

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