First I calculated each player's points per shot using this formula:
points / (field goal attempts + (free throw attempts * 0.44))which is similar to Hollinger's true shooting %.
Then I created a similar statistic for each player's team, apart from the points and shots that player was responsible for. The formula is:
(team points - player's points) / (team FGA - player's FGA + (team FTA - player's FTA)*0.44)Finally I subtracted team points per shot from player points per shot to yield the extra points per shot (EPPS) each player averages, relative to their teammates. I like this measure better than a "pure" measure of offensive efficiency, because it allows for otherwise efficient scorers to shoot more when they have a weak supporting cast, and penalizes ball hogs with efficient teammates.
I graphed the EPPS against the percentage of a team's shots taken by a player for the top 120 players in the league by points scored per game:
Steve Nash and Ray Allen also stand out as efficient scorers who should shoot more - is Nash trying to pad his assist stats to the detriment of his team? Would that make him the league's first selfish assister?
Among the league's top 5 scorers, Lebron James, Kevin Love and Kevin Durant stand out for their efficiency. Kobe Bryant is scoring just under his teammate's PPS, evidence of a not-quite-MVP season, but not of substantial ball-hogging.
Russel Westbrook emerges as the surprising ball-hog from this analysis. He scores an above average 1.10 PPS, close to Blake Griffin and slightly better than MVP Derrick Rose. But the rest of his team scores at 1.14 PPS, the highest in the league, thanks to high efficiency and PPG from James Harden (1.31 and 17.2 PPG) and Kevin Durant (1.22 and 27.9). Pass the ball Russel!
Carmelo Anthony was excluded from the ESPN database, but when included, his numbers are almost identical to Russel Westbrook's, and he does not have the excuse of playing for an efficient team. His absolute efficiency, 1.00 PPS is the 24th worst of the top 150 scorers in the league, placing him next to Antawn Jamison (0.99 PPS) and Tyler Hansbrough (1.00), whose coaches are not getting fired.
The overall least efficient shooter: Raymond Felton, who is apparently leading a mutiny against coach McMillan. That's bold when you're shooting 38% from the field, averaging 0.15 points fewer per shot than the rest of your teammates. They can't all be desperation shots with the shot clock about to expire.