Statistical analysis, charts, graphs, and observations from a lifelong NBA fan.

I like the fact that Mark Cuban owns an NBA team. His willingness to make himself available and speak his mind is refreshing. He also restored credibility to a Mavericks franchise that had been awful for most of the 1990's. However, I disagree with the conclusions he drew on his blog earlier this week. On Wednesday, he posted Back to Backs in the NBA, which estimated the impact NBA schedule makers have on games:

For this season, through december 15th, the 2nd game of a back to back makes a team 3.5 points worst. In other words, the best teams are still good, but on the 2nd game of back to back, particularly on the road, they become much closer to average. Making them beatable.

Its far worse for the 4th game in 5 nights. ON those nights, a team is 8 points worse. Again, more on the road. So basically, a team should lose to just about any but the worst teams if they are on the road.

Meaning, that the schedule gods can have a HUGE impact on the standings. That the day the Circus or a concert is scheduled at your arena could block out a night, that would in turn force the schedule to create multiple 4 game in 5 nights situation and possibly cost a playoff seeding !

As it turns out, I ran a similar analysis last month, drawing different conclusions for these types of games:

Net Point Disadvantages (2001-02 through 2004-05 seasons)

Schedule Road Team Home Team
2nd of back-to-back games 1.85 N/A
4th game in 5 days 1.49 N/A

In my analysis, based on 4 full seasons of play, teams were not significantly worse when playing the 4th game in 5 days or the 2nd of back-to-back games at home. My road team disadvantage wasn't nearly as great as what Cuban claimed--in fact, it was roughly half as important as the basic home court advantage. In other words, the schedule gods just weren't THAT important.

What's responsible for the difference? I decided to re-run my regression analysis against the data his team used: games from the current 2005-06 season through December 15. This time, my results were very similar to his:

Net Point Disadvantages (2005-06 season through 12/15)

Schedule Road Team Home Team Weighted Average
2nd of back-to-back games 4.97 2.56 3.41
4th game in 5 days 8.29 10.53 8.70

My average factors (weighted by number of road vs. home games played) of 3.4 and 8.7 are roughly the same as Cuban's factors of 3.5 and 8, and vastly different from the 2001-2005 data. Looking at the results of these games, it's easy to see why. Teams are doing much worse in back-to-back and 4/5 games so far this season than they did in the previous 4 seasons:

Teams Playing 2nd of Back-to-Back Games

Season Wins Losses Percentage
2001-02 246 344 .417
2002-03 248 338 .423
2003-04 259 310 .455
2004-05 269 340 .442
2005-06 (through 12/15) 56 97 .372

Teams Playing 4th Game in 5 Days

Season Wins Losses Percentage
2001-02 37 65 .362
2002-03 45 54 .455
2003-04 36 52 .409
2004-05 42 48 .467
2005-06 (through 12/15) 4 16 .200

I can think of two possible explanations for this disparity: either something changed this year which makes it tougher for teams to play in back-to-back games, or it's just randomness (or other words, luck). I chalk it up to luck, based on the relatively small number of 2005-06 games so far.

By the end of 2005-06, I bet we'll see numbers that are a lot closer to the 2001-2005 results. In fact, just including the next week of games (12-16 through 12-22) already reduces the disadvantage of 4th game in 5 nights by 3.18 points and the disadvantage of the 2nd of back-to-back games by .16 points.

Permalink
[Statistical Analysis]
Best Individual Performances Since 1987-88
Top boxscore lines from the past 17 years
I've got to hand it to Kobe. Two days after getting called out here for putting up some of the "worst" individual game performances since the 1987-88, he posted a career night in a Lakers win over the Mavericks. He did all of his damage in the first 3 quarters, personally outscoring the Mavs 62-61 over that period.

In doing so, he sneaked into the top 10 overall performances--at the expense of Shaq's 61-point game, which slipped to #11 (still listed below). As usual, game performances are rated using John Hollinger's Game Scores formula; see my 12/4 post for more details.

Best Overall Performances (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Michael Jordan 03/28/1990 50 23-37 2-6 21-23 18 6 5 4 2 1 69 64.6 Win
Karl Malone 01/27/1990 33 21-26 0-0 19-23 18 2 2 3 2 0 61 60.2 Win
Michael Jordan 04/03/1988 42 21-27 0-1 17-19 4 6 4 2 1 2 59 54.7 Win
David Robinson 04/24/1994 44 26-41 1-2 18-25 14 5 2 0 8 2 71 51.8 Win
Michael Jordan 11/03/1989 47 19-31 1-2 15-17 14 6 3 3 0 1 54 51.2 Win
Reggie Miller 11/28/1992 38 16-29 4-11 21-23 5 8 1 1 0 0 57 50.4 Win
Tom Chambers 03/24/1990 42 22-32 0-0 16-18 6 4 5 1 1 2 60 50.0 Win
Kobe Bryant 12/20/2005 33 18-31 4-10 22-25 8 0 3 3 2 0 62 49.7 Win
Charles Barkley 11/30/1988 41 13-16 0-1 15-20 22 5 2 6 3 1 41 49.6 Win
Willie Burton 12/13/1994 43 12-19 5-8 24-28 8 3 2 1 1 2 53 49.6 Win
Shaquille O'Neal 03/06/2000 45 24-35 0-0 13-22 23 3 2 0 4 0 61 49.5 Win


Black Mamba drives for 2 of his 62.
Included in this list are a few historic games:
  • MJ's top scoring performance (69 points) coincided with his rebounding career high (18), against his most-tortured opponent: the Cavs.
  • David Robinson's 71-point game on the last game of the 93-94 season, putting him ahead of Shaq for the scoring title. According to the Admiral, the lottery-bound Clippers were "fighting, clawing, bumping, grinding, and double- and triple-teaming" him that night. We'll have to take his word for that.
  • Career 10 ppg player Willie Burton lit up his former team (the Heat) for 53 points in 1994, in what may have been the most unexpected 50-point outburst ever. Then again, Tracy Murray, Dana Barros, Cedric Ceballos, Nick Anderson, Charles Smith, and Tony Delk all have 50-point games under their belts as well.

Warrants mentioning: All 11 of these top performances led to wins for the respective players' teams.

As previously noted, the number of points scored is the most significant determinant of the Game Scores formula, as evidenced by the fact that the average points scored for these performances was 58.9. As a result, running "best performance" analysis for players scoring less than 10, 20, 30, 40, and 50 points also yields interesting results:

Best Performances By Players Scoring <10 Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Nate McMillan 02/26/1988 38 3-8 0-0 3-4 13 14 3 6 1 0 9 24.9 Win
Mookie Blaylock 12/10/1999 41 4-12 1-3 0-0 4 19 2 7 1 0 9 21.9 Win
John Stockton 03/24/1990 36 3-5 0-0 2-3 1 20 2 3 1 1 8 21.9 Win
Bo Outlaw 04/06/1998 42 2-4 0-0 4-4 11 9 0 3 1 3 8 21.3 Win
Ben Wallace 03/20/2003 35 3-6 0-0 2-4 22 2 2 2 1 9 8 20.7 Win

Best Performances By Players Scoring <20 Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
John Stockton 02/19/1988 42 8-9 0-0 3-6 2 21 0 8 4 0 19 34.4 Win
Fat Lever 04/21/1989 42 6-11 0-0 3-4 13 23 3 5 1 0 15 32.5 Win
John Stockton 02/20/1988 35 7-8 1-1 1-1 0 21 2 6 1 0 16 32.1 Win
Dikembe Mutombo 11/11/1994 53 6-7 0-0 7-10 26 1 3 0 1 9 19 30.7 Win
John Stockton 12/19/1989 36 8-12 1-2 1-2 3 27 5 2 2 0 18 30.6 Loss

Best Performances By Players Scoring <30 Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Hakeem Olajuwon 03/03/1990 40 13-25 0-0 3-4 18 10 5 5 0 11 29 41.8 Win
Magic Johnson 11/17/1989 40 6-13 1-3 11-11 8 24 0 6 3 1 24 41.0 Win
John Stockton 01/03/1989 45 12-16 0-1 2-2 1 24 3 6 1 0 26 40.9 Loss
Doc Rivers 12/29/1987 39 7-11 0-0 15-17 14 12 3 4 1 0 29 38.9 Win
Magic Johnson 04/23/1989 40 8-14 4-4 9-9 9 21 2 1 2 0 29 38.8 Win

Best Performances By Players Scoring <40 Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Tim Duncan 03/04/2003 44 14-18 0-1 7-9 21 8 1 2 2 4 35 44.7 Loss
Shaquille O'Neal 02/18/1994 41 16-19 0-0 6-7 20 3 1 1 2 5 38 44.5 Win
Charles Barkley 11/07/1992 44 11-16 0-1 15-17 21 8 2 1 3 1 37 44.0 Win
Karl Malone 01/30/1993 40 11-18 0-1 16-17 16 3 2 3 2 5 38 43.2 Win
David Robinson 02/27/1992 41 13-18 0-0 11-14 24 2 4 3 3 5 37 42.9 Win

Best Performances By Players Scoring <50 Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Charles Barkley 11/30/1988 41 13-16 0-1 15-20 22 5 2 6 3 1 41 49.6 Win
Michael Jordan 01/15/1989 41 13-23 0-3 16-17 9 11 2 8 2 0 42 46.7 Win
Hakeem Olajuwon 03/23/1996 44 16-23 0-0 14-18 19 8 3 3 6 3 46 46.7 Loss
Dominique Wilkins 12/29/1990 42 15-25 3-5 12-12 14 6 2 3 1 1 45 46.6 Win
David Robinson 01/10/1991 41 14-21 0-0 15-15 12 3 4 4 4 10 43 46.6 Win


Ehlo's about to get beat.
As you can see, these performances include a lot of near-triple-doubles, triple-doubles, and even a quadruple-double by Hakeem Olajuwon from 1990 (points, rebounds, assists, and blocks). Many of the players in these lists are known for their contributions in areas other than scoring. 5 of John Stockton's games made the cut.

Again, strong individual performances led to team success, with 84% of the peak performers' teams winning their games.

Permalink
[Statistical Analysis]
Worst Individual Performances Since 1987-88
Dubious boxscore lines from the past 17 years
Two weeks ago, I posted the best and worst individual game performances from the month of November. It prompted an email question, asking who had the best single game in the last 20 years. I haven't been able to find boxscores dating back quite that far, but the excellent Basketball-Reference.com has individual game stats starting with the 1987-88 season.

I'll post the best individual game performances since 1987-88 later this week. For today, I'll focus on the more dubious efforts. Again, game performances are rated using John Hollinger's Game Scores formula; see that earlier post for more details.

Worst Overall Performances (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
David Wesley 04/12/2001 28 0-13 0-1 0-0 1 1 4 2 4 0 0 -11.7 Win
Delaney Rudd 11/02/1990 9 0-4 0-1 0-0 0 0 5 0 6 0 0 -10.8 Loss
Larry Hughes 12/03/1999 12 0-6 0-0 0-0 1 0 1 0 6 0 0 -9.9 Win
Darius Miles 02/23/2005 13 0-6 0-0 0-0 2 0 5 0 4 0 0 -9.6 Loss
Tom Gugliotta 11/24/1992 21 0-8 0-1 0-0 5 2 4 1 7 0 0 -9.5 Loss
Elden Campbell 01/03/2001 11 0-6 0-0 0-0 0 0 2 0 4 0 0 -9.0 Loss
Dino Radja 12/26/1993 18 0-14 0-0 0-2 10 0 5 0 1 0 0 -9.0 Loss
Tom Gugliotta 03/13/1996 33 0-13 0-2 0-0 8 2 2 0 4 0 0 -8.9 Loss
Rex Chapman 12/12/1989 30 3-20 0-2 0-2 1 1 3 0 1 0 6 -8.8 Loss
Eric Williams 05/09/2003 20 0-5 0-0 0-0 1 0 5 0 4 0 0 -8.8 Loss


This was the closest Darius Miles
came to scoring on 2/23/05.
Plenty of bad games here, usually involving terrible shooting, lots of turnovers, and not much else. Only one of these guys, Rex Chapman, got into the scoring column, and it took him 20 shots to get his 6 points.

A few interesting notes:

  • Not surprisingly, in 8 out of these 10 performances, the team went on to lose the game as well. David Wesley's Hornets and Larry Hughes' 76ers got the only wins.
  • In his first game of the 1990-91 season, Delaney Rudd managed to commit 6 turnovers and 5 fouls in just 9 minutes. It was probably one of the worst games ever by a point guard, turned in by the backup to arguably the best point guard of all time: John Stockton.
  • 3 different Hornets players were responsible for 3 of the worst 10 games: Wesley, Elden Campbell, and Chapman.

Typically, the number of points scored is the most significant determinant of the Game Scores formula, which explains why the worst overall performances all involved very little scoring. As a result, it seems appropriate to look for a few additional "worst" performances: by players scoring at least 10, 20, 30, and 40 points.

Worst Performances By Players Scoring 10+ Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Jamal Mashburn 03/08/2002 39 4-18 0-0 2-5 5 0 3 0 6 0 10 -7.9 Loss
Kobe Bryant 02/23/1999 35 5-21 0-6 1-3 5 2 5 0 5 0 11 -5.8 Loss
Allen Iverson 12/21/2002 41 6-28 0-4 1-1 4 2 2 1 4 0 13 -5.0 Loss
Ron Harper 03/10/1991 38 6-25 1-3 0-0 4 5 5 2 8 1 13 -4.7 Loss
Isiah Thomas 11/06/1992 38 4-25 0-9 2-5 4 7 5 2 4 0 10 -4.6 Loss

Worst Performances By Players Scoring 20+ Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Jermaine O'Neal 12/07/2003 41 9-27 0-0 2-2 13 1 5 0 8 2 20 1.9 Loss
Allen Iverson 11/13/2001 43 8-30 0-2 9-12 1 2 4 3 7 0 25 2.1 Win
Mark Aguirre 04/03/1988 37 9-26 0-2 2-2 3 3 3 1 6 0 20 3.0 Loss
Isaiah Rider 02/02/1996 38 6-20 1-6 7-7 3 0 4 0 5 0 20 3.1 Loss
Allan Houston 11/30/2002 39 9-22 0-1 2-2 2 2 5 0 5 0 20 3.2 Win

Worst Performances By Players Scoring 30+ Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Tony Campbell 01/02/1990 48 12-29 0-2 7-9 5 1 4 0 4 0 31 11.3 Loss
Kobe Bryant 05/28/2002 45 11-29 0-2 8-11 5 3 5 1 5 0 30 11.3 Loss
Antawn Jamison 01/21/2001 45 12-25 4-5 3-6 5 1 3 1 8 0 31 11.9 Win
Paul Pierce 03/22/2003 43 8-25 3-5 12-12 6 3 6 2 9 1 31 12.3 Loss
Dale Ellis 11/11/1989 41 11-28 3-7 5-6 1 2 3 2 5 0 30 12.3 Loss

Worst Performances By Players Scoring 40+ Points (1987-88 through present)

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score Outcome
Kobe Bryant 11/07/2002 46 17-47 0-8 7-7 9 4 3 4 5 0 41 19.0 Loss
Allen Iverson 11/28/2001 46 15-31 3-9 7-7 6 3 3 1 9 0 40 20.2 Loss
Mark Aguirre 01/11/1989 40 16-34 1-5 8-11 8 1 5 1 6 0 41 20.9 Loss
Kobe Bryant 12/25/2004 50 12-30 5-13 13-13 3 6 4 1 9 0 42 21.3 Loss
Vernon Maxwell 04/08/1996 48 15-33 7-17 4-8 3 1 2 0 1 0 41 22.1 Win


In his mind, Kobe is always open.
These higher-scoring games typically involved poor shooting, lots of turnovers, and minimal contributions in other categories.

Notes:

  • The Mamba shows up a whopping 4 times on these lists. with the worst 40+ game and the 2nd-worst 30+ and 10+ games. The Lakers lost all 4 games, most notably last Christmas to Shaq and the Heat.
  • These performances seemed to hurt their teams just as much as the overall poor performers did, with 80% of the games ending in losses.
A few new enhancements were added to the lowpost.net NBA weblog tracker tonight. Here's a quick overview of what's changed since the application launched 2+ weeks ago:

I'm hoping to finish a few more features in the next few weeks, including:

  • Rankings of the most popular players and teams
  • Search (players, teams, posts)
  • Archived threads

As always, if you have additional ideas or feedback, feel free to pass them along.

Permalink
[Statistical Analysis]
November's Best and Worst Performances
Notable boxscore lines from the first month
We're one month into the season--who had the best and worst games during November?

The ratings below are based on the Game Scores formula from John Hollinger's excellent Pro Basketball Forecast 2005-06. The formula presented as a simplified version of his Player Efficiency Rating, suitable for rating single-game performances. Here's how it looks:

(Points x 1.0) + (FGM x 0.4) + (FGA x -0.7) + ((FTA-FTM) x -0.4) + (OREB x 0.7) + (DREB x 0.3) + (STL x 1.0) + (AST x 0.7) + (BLK x 0.7) + (PF x -0.4) + (TO x -1.0)

Best Performances

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score
Gilbert Arenas 11/12 41 15-20 4-8 9-14 1 6 1 1 4 0 43 34.1
Michael Redd 11/02 37 12-20 3-5 14-17 6 0 4 2 0 0 41 33.6
Allen Iverson 11/19 47 14-27 1-3 8-9 2 12 0 3 2 0 37 33.3
Pau Gasol 11/26 42 13-23 0-1 10-13 15 5 0 0 2 2 36 32.9
Sam Cassell 11/02 41 14-26 4-7 3-3 5 11 3 2 1 1 35 32.5
Allen Iverson 11/30 48 11-27 2-7 16-18 5 9 1 2 2 0 40 32.5
Paul Pierce 11/09 40 9-13 3-3 8-10 7 8 3 3 1 1 29 32.3
Allen Iverson 11/16 45 16-26 1-3 9-11 0 7 3 3 4 0 42 32.1
Rashard Lewis 11/13 46 12-21 3-6 14-16 8 2 5 0 2 1 41 31.6
Allen Iverson 11/15 41 11-24 1-1 11-13 2 12 0 3 2 0 34 31.6


Iverson averaged 38 points against
the Toronto defense in November.
Gilbert Arenas had the best Game Score in the league in November, leading the Wizards to a big win over the Spurs on the 12th. He posted 43 points on just 20 field goal attempts for a very efficient game. Still, 50 performances from 26 different players in the 2004-05 season bested his 34.1 Game Score. Last year featured several amazing individual performances, including a 60+ point game, 8 50+ point games, and 67 40+ point games.

Allen Iverson had a great month, with 4 out of the top 10 overall performances. In those games, he averaged 38 points on 50% shooting, 10 assists, and 3 steals.

Great performances corresponded to wins in 8 out of the 10 top games. The only exceptions were from two of AI's games: Philadelphia losses to Cleveland and Boston.

Worst Performances

Player Date Min FG 3P FT Reb Ass PF St TO Blk Pts Score
Antoine Walker 11/25 21 1-13 0-4 0-0 2 0 4 0 1 0 2 -7.6
Eddie House 11/19 14 0-4 0-2 0-0 0 1 2 0 4 0 0 -6.9
Anthony Johnson 11/12 33 0-4 0-1 0-2 0 3 4 1 5 1 0 -6.4
Erick Dampier 11/17 20 0-2 0-0 0-0 8 0 6 0 6 0 0 -6.2
Mike James 11/30 28 0-7 0-1 0-0 2 1 3 1 3 0 0 -6.0
Erick Dampier 11/15 11 0-0 0-0 0-0 0 0 4 0 4 0 0 -5.6
Othella Harrington 11/05 13 1-3 0-0 0-0 0 1 4 0 5 0 2 -5.6
Raef LaFrentz 11/28 25 1-10 0-4 0-0 3 1 3 0 2 0 2 -5.4
Donyell Marshall 11/26 25 0-9 0-5 0-0 8 0 5 0 2 2 0 -5.3
Vladimir Radmanovic 11/22 15 1-7 0-2 0-0 2 1 2 0 3 0 2 -5.0


Dampier is actually 3 inches
taller than Anthony.
Erick Dampier had a terrible game against the Nuggets on the 15th. He played 11 minutes, committed 4 turnovers and 4 fouls, but failed to notch a single point, rebound, block, or assist. What's funny is that this wasn't even his worst game of the month, according to the Game Scores formula. That came 2 nights later, when he picked up 6 turnovers and 6 fouls against the lowly Hawks.

Antoine Walker heads this list with a stinker against Damp and the Mavs on Black Friday. He managed to jack up 13 shots, missing 12, in just 21 minutes of action.

In 8 out of the worst 10 performances, the teams went on to lose the game as well, despite the fact that most of these guys didn't play excessive minutes. Dallas picked up both wins, overcoming Dampier's poor play.