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Latrinsorm
09-22-2013, 02:09 PM
Here are the top 10 NBA players in points per game in 2013.

28.7 - Carmelo Anthony-NYK
28.1 - Kevin Durant-OKC
27.3 - Kobe Bryant-LAL
26.8 - LeBron James-MIA
25.9 - James Harden-HOU
23.2 - Russell Westbrook-OKC
22.9 - Stephen Curry-GSW
21.2 - Dwyane Wade-MIA
21.1 - LaMarcus Aldridge-POR
19.4 - Brook Lopez-BRK

We all know Durant is a much, much better scorer than Anthony, but how might we make this case concisely? I've mentioned before (http://forum.gsplayers.com/showthread.php?84403-NBA-Advanced-Stats-and-Efficiency) how advanced metrics penalize players to varying degrees for missing, but each carries a lot more information than just scoring. We can follow the same reasoning, though:

1. Missing a FGA is bad, because most (~70%) of the time it gives the other team possession.

2. Missing the last ordinary FTA is bad for the same reason. How many FTAs are the last? We can take a cue from Usage rate and say ~44% of them. We'll also take into account that it's a lot easier to get defensive rebounds on FTAs (~85%).

3. Turnovers are a tough one. Passing turnovers nominally have nothing to do with scoring ability, but a lot of these young whippersnappers in the NBA today will get caught in the air and desperately pass out of it: that's a scoring move that went really bad just like a charging foul. Then there's traveling or 3 seconds or 5 seconds. Because it's hard to decide which way to go and because they are such relatively infrequent events (more than 6 times as many scoring possessions in categories 1 and 2) I'm going to leave them out at least for now.

So our provisional formula is PTS - (FGA - FG) * .7 - (FTA - FT) * .44 * .85. Like PER, it's still very easy to get positive results here: FG% only needs to hit 26% (!), FT% only needs to hit 27% (!!!). This is how the top 10 shakes out for 2013:

21.8 - Kevin Durant
20.7 - LeBron James
19.6 - Carmelo Anthony
19.2 - Kobe Bryant
18.6 - James Harden
15.9 - Stephen Curry
15.3 - Russell Westbrook
15.3 - Dwyane Wade
15.2 - Kyrie Irving
15.0 - Tony Parker

Pretty interesting! We have a very high incidence of point players and playmakers (I count 7), which could suggest we should squeeze turnovers in, or it could suggest that these particular playmakers happen to be very good scorers. Also, Irving and Parker didn't qualify for the scoring title, and LA and Lopez only fall to 11 and 12 in the new system, so we haven't really changed the order too terribly much. But how would this change the historical number of scoring titles? Until next post!

Latrinsorm
09-22-2013, 03:06 PM
Under the traditional system the season leaders for NBA points per game look like this:


10 - Michael Jordan
7 - Wilt Chamberlain
4 - Allen Iverson
4 - George Gervin
3 - Bob McAdoo
3 - Kevin Durant
3 - Neil Johnston
2 - Adrian Dantley
2 - Bob Pettit
2 - George Mikan
2 - Kareem Abdul-Jabbar
2 - Kobe Bryant
2 - Paul Arizin
2 - Shaquille O'Neal
2 - Tracy McGrady
1 - Alex English
1 - Bernard King
1 - Carmelo Anthony
1 - David Robinson
1 - Dominique Wilkins
1 - Dwyane Wade
1 - Elvin Hayes
1 - George Yardley
1 - Jerry West
1 - LeBron James
1 - Oscar Robertson
1 - Pete Maravich
1 - Rick Barry
1 - Tiny Archibald


Under the new system, the king stay the king... more or less:


9 - Michael Jordan
7 - Shaquille O'Neal
7 - Wilt Chamberlain
4 - Adrian Dantley
4 - Kevin Durant
3 - Bob McAdoo
3 - George Gervin
3 - Kareem Abdul-Jabbar
3 - Neil Johnston
2 - Bob Pettit
2 - George Mikan
2 - Kobe Bryant
2 - Oscar Robertson
2 - Paul Arizin
2 - Tracy McGrady
1 - Allen Iverson
1 - Bernard King
1 - Dwyane Wade
1 - George Yardley
1 - Jerry West
1 - Kiki Vandeweghe
1 - LeBron James
1 - Rick Barry
1 - Tiny Archibald


Shaq out of nowhere!!! Which is very hard to do for a 400 pound man!!!
- Take a hike, AI! 4 to 1, yikes, and all 3 went to Shaq.
- Yes, and one of Michael's went to Shaq as well: 1998.
- That makes 4, the last one comes from the year David Robinson famously scored 71 to win the scoring title by 0.5 ppg... except now he lost it by 0.5 true ppg anyway. (And he shot 63% from the field and 72% from the line in the 71 game so it wasn't that.)

Full list of players who got kicked out: Alex English, Carmelo Anthony, David Robinson, Dominique Wilkins, Elvin Hayes, Pete Maravich.

- But Pistol Pete led the league by 3.5 points per game! How did Billy Knight of all people catch him? Well... he didn't! The third place ppg Kareem turned a 3.9 deficit into a 0.5 lead: Maravich took 512 more FGAs and made TWO LESS. Knight (and Lanier) closed ground, but still finished behind the Pistol.

- As for the rest: 'Melo went to Durant obviously, 'Nique went to Dantley, Hayes went to Oscar, and the Blade went to teammate and immortal Kiki Vandeweghe (only newcomer) in the second closest tppg race at 0.08. The very closest goes to that unforgettable duel between T-Mac and Peja in 2004 at 0.05, and I say "unforgettable" because you can't forget what you never cared to remember in the first place.

Old list of players with 4 titles: Jordan, Wilt, AI, Gervin. New list: Jordan, Wilt, Shaq, Dantley, Durant.

.

All told, only 11 of 64 titles change hands, but the specifics of those changes (especially Shaq and AI) are pretty interesting.