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WhatIfSports.com Presents: The Ultimate NBA Playoff

18
Vote

by user Davis21wylie

You're not really a basketball fan if you haven't asked yourself at least once, "Which NBA team is the greatest of all time?" Let's face it, we all fantasize about impossible matchups: Would the 1996 Bulls beat the 1972 Lakers? Whose Celtic dynasty was stronger, Bill Russell's or Larry Bird's? Until recently, though, these dream showdowns were just that -- the sole province of our imaginations, never to be decided with any certainty. However, with the advent of the internet, simulation technology has progressed to the point that we can at least reasonably construct these fantasy matchups, arriving with life-like results. On the cutting edge of this brave new world is WhatIfSports.com, a site founded in 1999 that specializes in online sports simulations between teams of different eras. Using their free-to-the-public technology, we can finally set up a fantasy playoff to determine which team is truly the greatest of all time.

So, in an ongoing series, that's exactly what I'll be doing: taking the 64 greatest teams in NBA history and placing them in a March Madness-style bracket to determine historical supremacy once and for all. But how to select the top 64? Just like the NCAA selection committee, I had to turn to a mathematical formula: something called Pythagorean Dominance. All pythagorean dominance does is ask, "How many standard deviations above average was a team?" Here's how it works... Using the pythagorean formula, we can arrive at a good measure of team strength through points scored and allowed. However, we also have to ascertain the conditions under which this strength was achieved; were teams competitively balanced, making dominance doubly impressive, or was the league split into the "haves" and "have-nots", providing many bottom-feeders for top teams to feast upon? Pythagorean dominance takes both of these concerns into account:

Pythagorean Dominance (PDOM) = (PW% - .500) / CB

Where PW% equals the team’s Pythagorean winning percentage and 0.500 equals the league-average winning percentage. CB equals the league’s Competitive Balance, which is the standard deviation of pythagorean winning percentage of all the clubs in the league that season.

Like the RPI, PDOM isn't perfect. It doesn't factor in the playoffs, nor does it capture the strength of the "ideal" version of each team -- the version in which all players are rested, healthy, etc. But it does paint a decent picture of team strength. Here are the Top 10 all-time NBA teams in PDOM:

Rank	team	year	lg	GP	Pyth%	PDOM
1	GSW	1976	N	82	0.706	2.670
2	NYK	1970	N	82	0.759	2.333
3	MIL	1971	N	82	0.822	2.188
4	BOS	1986	N	82	0.769	2.103
5	POR	1978	N	82	0.695	2.098
6	CHI	1996	N	82	0.850	2.081
7	BOS	1957	N	72	0.674	2.062
8	WA1	1975	N	82	0.730	2.034
9	MIL	1986	N	82	0.760	2.026
10	PHW	1956	N	72	0.645	2.012

Not a bad list, although we might take exception to the notion that the 1976 Golden State Warriors are the greatest team of all time (the NBA was very competitively balanced that season, making their 59 wins extremely impressive). But we also need to recognize the fact that some teams didn't complete their task by winning an NBA Championship -- which is, after all, the mark of any truly outstanding team. To that end, I gave each team a .5-point bonus for winning a ring, a change reflected in the rankings below:

Rank	team	year	lg	GP	won	lost	Pyth%	PDOM	Bonus	Rating
1	NYK	1970	N	82	60	22	0.759	2.333	0.500	2.833
2	MIL	1971	N	82	66	16	0.822	2.188	0.500	2.688
3	GSW	1976	N	82	59	23	0.706	2.670		2.670
4	BOS	1986	N	82	67	15	0.769	2.103	0.500	2.603
5	CHI	1996	N	82	72	10	0.850	2.081	0.500	2.581
6	BOS	1957	N	72	44	28	0.674	2.062	0.500	2.562
7	PHW	1956	N	72	45	27	0.645	2.012	0.500	2.512
8	CHI	1992	N	82	67	15	0.802	1.937	0.500	2.437
9	BOS	1984	N	82	62	20	0.699	1.936	0.500	2.436
10	SAS	2005	N	82	59	23	0.766	1.913	0.500	2.413

That's better -- nine of the Top 10 won NBA championships. Before we move on to the final Top 64, let's add one last rule into the mix: to be one of the four number one seeds, you must have won an NBA title. Now, let's examine the final cut for the Top 64 of all-time:

Rank	team	year	lg	GP	won	lost	Rating
1	NYK	1970	N	82	60	22	2.833
2	MIL	1971	N	82	66	16	2.688
3	BOS	1986	N	82	67	15	2.603
4	CHI	1996	N	82	72	10	2.581
5	GSW	1976	N	82	59	23	2.670
6	BOS	1957	N	72	44	28	2.562
7	PHW	1956	N	72	45	27	2.512
8	CHI	1992	N	82	67	15	2.437
9	BOS	1984	N	82	62	20	2.436
10	SAS	2005	N	82	59	23	2.413
11	BOS	1965	N	80	62	18	2.330
12	LAL	1987	N	82	65	17	2.317
13	CHI	1997	N	82	69	13	2.310
14	SAS	1999	N	50	37	13	2.285
15	BOS	1962	N	80	60	20	2.256
16	LAL	2000	N	82	67	15	2.255
17	CHI	1991	N	82	61	21	2.228
18	POR	1977	N	82	49	33	2.206
19	LAL	1985	N	82	62	20	2.183
20	PHI	1967	N	81	68	13	2.161
21	LAL	1972	N	82	69	13	2.160
22	LAL	2002	N	82	58	24	2.142
23	BOS	1960	N	75	59	16	2.128
24	POR	1978	N	82	58	24	2.098
25	PHI	1983	N	82	65	17	2.075
26	DET	2004	N	82	54	28	2.059
27	BOS	1963	N	80	58	22	2.044
28	WAB	1975	N	82	60	22	2.034
29	MIL	1986	N	82	57	25	2.026
30	MIE	1950	N	68	51	17	2.018
31	MIL	1974	N	82	59	23	2.000
32	BOS	1961	N	79	57	22	1.948
33	BOS	1964	N	80	59	21	1.905
34	LAL	1980	N	82	60	22	1.891
35	CHI	1993	N	82	57	25	1.857
36	SAS	2004	N	82	57	25	1.851
37	CHI	1998	N	82	62	20	1.849
38	BOS	1981	N	82	62	20	1.840
39	BOS	1980	N	82	61	21	1.817
40	DET	1990	N	82	59	23	1.816
41	SAS	2006	N	82	63	19	1.815
42	BOS	1966	N	80	54	26	1.814
43	SAS	2003	N	82	60	22	1.814
44	BOS	1959	N	72	52	20	1.805
45	BOS	1969	N	82	48	34	1.779
46	MIE	1952	N	66	40	26	1.774
47	DET	2006	N	82	64	18	1.760
48	LAL	1986	N	82	62	20	1.735
49	PHI	1981	N	82	62	20	1.717
50	SAS	2001	N	82	58	24	1.713
51	LAL	1988	N	82	62	20	1.712
52	DAL	2003	N	82	60	22	1.703
53	MIE	1951	N	68	44	24	1.702
54	MIE	1953	N	70	48	22	1.699
55	NYK	1973	N	82	57	25	1.692
56	SAC	2002	N	82	61	21	1.691
57	LAL	1982	N	82	57	25	1.677
58	MIL	1985	N	82	59	23	1.674
59	PHI	1978	N	82	55	27	1.672
60	BOS	1975	N	82	60	22	1.630
61	DET	1989	N	82	63	19	1.625
62	MIL	1972	N	82	63	19	1.608
63	POR	1991	N	82	63	19	1.605
64	DAL	2006	N	82	60	22	1.596

Here are the teams whose bubbles burst -- the last 8 to miss the field:

Rank	team	year	lg	GP	won	lost	Rating
65	BOS	1958	N	72	49	23	1.591
66	DEN	1977	N	82	50	32	1.589
67	MIL	1981	N	82	60	22	1.585
68	SEA	1994	N	82	63	19	1.584
69	PHI	1968	N	82	62	20	1.579
70	BOS	1985	N	82	63	19	1.576
71	PHO	2005	N	82	62	20	1.567
72	MIA	2005	N	82	59	23	1.562

Sadly, they'll be playing in the NIT over the next few weeks.

Now, let's break down the brackets:

Image:Whatifbracket1.jpg

This is the strongest of the four brackets, featuring the top overall seed, the 1970 Knicks, as well as the 69-win 1972 Lakers juggernaut.

Image:Whatifbracket2.jpg

This is the "weakest" bracket, but that's a relative term as the winningest single-season team ever, the 1996 Chicago Bulls, are the number one seed. Also in the mix are the 1992 Bulls, the strongest team of the Bulls' first 3-title dynasty, and the 2000 Lakers, the strongest of their 3-ring dynasty.

Image:Whatifbracket3.jpg

This is the seond-strongest bracket in the tournament, as almost every team won an NBA crown. The 1957 Celtics are probably the most formidable 2-seed in the field.

Image:Whatifbracket4.jpg

The Riley Bracket is the third-strongest in the tournament, and, oddly enough, is dominated by various iterations of the Boston Celtics. Don't sleep on the several Bucks teams in the bracket, though.

Image:Whatifbracket5.jpg

There you have it! Over the next month, I'll be using the WhatIfSports engine to simulate the brackets, and find out which team is truly the NBA's greatest. Check back for updates!

Enable Comment Auto-Refresher
Bball3345Draft Pick
1019 days ago
Score 1+-
Awesome!
Permalink | Reply
False ProphetAll-Star
1019 days ago
Score 2+-
Ddub, how do you have so much time to do this type of thing? I thought you were a student at GA tech, not at http://armchairgm.com. :)
Permalink | Reply
Davis21wylieMVP
1019 days ago
Score 0+-
I've managed to manipulate the fabric of space-time so that my days last 48 hours. But, seriously, it's not that much work, especially when spread out until the end of March.
Permalink
False ProphetAll-Star
1019 days ago
Score 0+-
how was running all those numbers not that much work?
Permalink
Davis21wylieMVP
1019 days ago
Score 1+-
It's not so much me as it is Excel. It's good.
Permalink
False ProphetAll-Star
1019 days ago
Score 0+-
but you still have to enter all of the info for countless teams, don't you?
Permalink
Davis21wylieMVP
1019 days ago
Score 0+-
http://www.d...download.htm
Permalink
False ProphetAll-Star
1019 days ago
Score 0+-
wow, that makes it so much easier
Permalink
False ProphetAll-Star
1019 days ago
Score 0+-
PDOM has to be the best formula ever for accuracy. A .0006 error rate? Astonishing
Permalink | Reply
KelsdadAll-Star
1019 days ago
Score 1+-
A while back I ran a 25 game series between the '70 Knicks and '96 Bulls for no other reason than I believer the '70 Knicks may be the least respected league champion ever. The Knicks won 16.
Permalink | Reply
Manny StilesMajor Leaguer
1018 days ago
Score 2+-
The Problem with this is that it can't correct for the injustices of history. Would the '75 Warriors have been so good if the ABA talent was in the NBA too? Ok, ok.. there's no Phoenix Suns on here... 2005 came close, but HOW in the halibut did the '93 Suns team not make this list???
Permalink | Reply
Davis21wylieMVP
1018 days ago
Score 2+-
'93 Suns are kind of like Derek Jeter... good, but not great. By point differential, they were morally a 57-25 team, not 62-20. They required the full five games to dispatch a terrible Lakers team in the 1st round of the playoffs, and came within a game of being eliminated by the Supersonics in the WC Finals. They played a good Finals that year, though, especially in that triple-OT epic.
Permalink
Manny StilesMajor Leaguer
1018 days ago
Score 1+-
Ok, good job... but when it's all said and done, this bracket will only show us who the best team WAS up until June, the 2006-07 NBA Champion Phoenix Suns...
Permalink
Davis21wylieMVP
1018 days ago
Score 0+-
Tell you what: when the Suns fulfill both of our preseason predictions, I'll pit them against the champion of this bracket in a 7-game WhatIfSports extravaganza! (It'll be the Mega Bowl of WhatIfSports Basketball).
Permalink
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