Sunday, August 23, 2015

Modeling the Length of the NBA Season

"I think you don't need 82 games to determine the best eight in each conference," - Dirk Nowitzki, 10/16/2014, from ESPN.com

Since I started this blog last fall, one of the questions I have been most eager to explore is whether or not Dirk's assertion above is accurate (later in the ESPN article, he posits the number of games in the regular season could be trimmed to "mid-60s"). And while as a fan I would not favor a shorter season, it did pique my interest to try and see if the NBA could, in fact, have reasonably determined its set of playoff teams in less than 82 games, and, if so, what was the "sweet spot" for number of games needed.

Effectively, I wanted to find the point in each season after which no teams exited or entered the set of playoff teams (top eight teams in each conference). To answer this question I determined the earliest point in the season in which all eight eventual playoff teams in each conference were seeded in those top eight spots AND remained in the top eight spots for the remainder of the season (irrespective of seeding changes within those eight spots) . This method accounts for fact that a team could exit and re-enter the playoff set as the season progressed (the 2014-15 Nets are a good example of this, as they bounced around between the 8-11 seeds for a good portion of the season before ultimately clinching a playoff spot in game 82). 

To assess this, I built a model that determined, for each non-shortened season from 2008-09 to 2014-15, inclusive, what the NBA standings were after each team had played an equivalent number of games; for example, the standings after each team had played exactly one game, or 42 games, etc. (I started with the 2008-09 season because the NBA slightly altered its playoff tiebreaker rules prior to that season). In building this model to be accurate, I painstakingly coded in every single one of the NBA's robust tiebreaker rules

Here were the key findings:
  • On average for the full seasons between 2008-09 and 2014-15 (six seasons) it took 74.5 games to determine the point after which no team entered or exited the playoff set. The earliest point at which this happened was at the 60 game mark in 2010-11, and the latest point was in the 82nd (final) game of the season in 2014-15.
  • Three times in the Eastern Conference and two times in the Western Conference, it took no more than 50 games to determine the point at which no teams would enter or exit the playoff set for the remainder of the season.
  • If you look solely at teams that finished in the top-5 in each conference (no team seeded lower than 5 made the Conference Finals from 2008-09 to 2014-15), each of those 60 teams entered AND stayed within the playoff set by no later than game 63 (although game 63 was an outlier, as 59 of 60 teams did this by no later than game 48).
  • On average, it took just over 19 games for the 96 playoff teams (6 seasons x 16 playoff teams) to enter and subsequently stay within the playoff set. The median, however, was much lower at exactly 6 games. 

This was a pretty interesting study because while it does not prove Dirk's statement to be precisely correct, it empirically shows that generally when it comes to determining playoff teams there are many instances in which it does not take anywhere near 82 games to determine the best eight in each conference. And the overwhelming majority of teams that are most relevant in the playoffs (top-5 seeds) are firmly entrenched in the top eight in their respective conferences well before the midway point of the season.

How to use table below:
·       The team that finished the 2008-09 season as the 1 seed in the Eastern Conference entered and remained a Top-8 seed starting in game 5 (meaning they never dropped below an 8 seed beyond game 5)
·       The team that finished as the 8 seed in the 2014-15 season in the Eastern Conference did not enter and remain a Top-8 seed until game 82 (they were a 9 seed entering game 82)


Eastern Conference:
Latest Game at Which Teams that Finished Season in a Top 8 Seed
Entered and Remained in Playoff Set

Season
Final Seed
2008-2009
2009-2010
2010-2011
2012-2013
2013-2014
2014-2015
1
5
4
2
1
1
6
2
1
1
3
1
1
7
3
4
1
1
23
1
1
4
1
1
3
1
31
1
5
18
63
1
15
23
3
6
37
55
14
10
38
10
7
67
60
32
33
41
77
8
1
80
47
1
2
82


Western Conference:
Latest Game at Which Teams that Finished Season in a Top 8 Seed
Entered and Remained in Playoff Set

Season
Final Seed
2008-2009
2009-2010
2010-2011
2012-2013
2013-2014
2014-2015
1
1
1
3
4
1
1
2
5
2
1
1
3
1
3
20
48
4
30
7
13
4
6
1
10
1
1
1
5
1
43
14
2
5
1
6
45
4
33
8
26
10
7
1
23
2
79
79
3
8
50
47
60
49
72
77

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