United States Naval Observatory
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Final NBA 2021-2022 ratings through results of 2022 JUNE 16 THURSDAY - PLAYOFFS NBA FINALS
this output has three parts: (1) teams listed by RATING top-to-bottom
(2) DIVISION AVERAGES
(listed top-to-bottom & by conference)
(3) teams listed by DIVISION
(listed in order within divisions)
The SCHEDULE ratings represent what the rating would have to be for a
hypothetical team to have a mathematical expectation of winning precisely 50%
of their games against the schedule played by the team in question in the games
that it has played so far. The schedule difficulty of each given game takes
into account the rating of the opponent and the location of the game. This
is the same concept that is used in computing the WIN50% conference ratings.
To make predictions for upcoming games, simply compare the RATINGS of
the teams in question and allow an ADDITIONAL 3 points for the home
team. Thus, for example, a HOME team with a rating of 97 would be
favored by 5 points over a VISITING team having a rating of 95.
Or a VISITING team with a rating of 94 would be favored by 7 points
over a HOME team having a rating of 84.
NOTE: Use whatever home advantage is listed in the output below.
In the example just above, a home edge of 3 was shown for
illustrative purposes. The home edge will vary during the season.
Several different home edges are shown, one for each of the several different type of ratings
directly over their respective columns.
The numbers to the right of a team's schedule strength are its rank of
schedule - (in parentheses) - and its record versus teams in these
rating's CURRENT top 10 and CURRENT top 16 respectively.
Teams that appear to be tied to two decimal places in a given column are actually
different when carried to more decimal places in the computer's internal arithmetic.
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The PREDICTOR, is such that the score is the only thing that matters.
PREDICTOR is also known as PURE_POINTS, BALLANTINE, RHEINGOLD, WHITE OWL
and is a very good PREDICTOR of future games.
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GOLDEN_MEAN also utilizes the actual SCORES of the games in a different way but is also completely SCORE BASED
and thus should be a good match for the PURE POINTS in terms of predictive accuracy for upcoming games.
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The RECENT, is score-based and weights RECENT play more heavily than earlier games. Its effect will become
more pronounced the longer a season goes if a given team happens to have an upward or downward trend.
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The overall RATING is a synthesis of the three different SCORE-BASED methods, PREDICTOR(PURE_POINTS), GOLDEN_MEAN,
and RECENT and thus should be a good predictor in its own right.
Predictions_with_Totals
just click on "Predictions_with_Totals" and it will take you to the daily predictions at bottom of file
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Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
1 Boston Celtics = 96.75 65 41 90.89( 3) 22 21 | 40 28 | 96.66 1 | 96.40 3 | 98.79 1 ATLANTIC
2 Golden State Warriors = 96.67 69 35 90.97( 1) 26 19 | 38 26 | 96.42 3 | 96.59 2 | 98.51 2 pacific
3 Phoenix Suns = 95.74 71 24 89.91( 30) 20 12 | 30 15 | 96.45 2 | 96.84 1 | 95.34 6 pacific
4 Memphis Grizzlies = 95.70 62 32 90.40( 7) 19 19 | 28 24 | 95.97 4 | 95.47 4 | 96.90 3 southwest
5 Miami Heat = 95.04 64 36 90.56( 4) 17 19 | 34 28 | 94.68 6 | 95.01 5 | 96.64 4 SOUTHEAST
6 Dallas Mavericks = 94.40 61 39 90.92( 2) 24 21 | 32 26 | 94.28 7 | 94.28 7 | 95.67 5 southwest
7 Utah Jazz = 94.04 51 37 90.12( 26) 14 19 | 24 23 | 94.96 5 | 94.46 6 | 93.57 9 northwest
8 Milwaukee Bucks = 93.86 58 36 90.31( 16) 14 16 | 22 28 | 94.07 8 | 93.84 8 | 94.49 7 CENTRAL
9 Philadelphia 76ers = 93.25 57 37 90.44( 6) 11 18 | 27 29 | 93.10 9 | 93.45 9 | 93.94 8 ATLANTIC
10 Minnesota Timberwolves = 92.54 49 40 90.35( 11) 15 18 | 21 26 | 92.66 10 | 92.27 10 | 93.31 10 northwest
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
11 Toronto Raptors = 92.08 50 38 90.33( 15) 18 15 | 27 23 | 91.85 11 | 92.20 11 | 92.70 11 ATLANTIC
12 Atlanta Hawks = 91.40 46 43 90.31( 17) 14 17 | 23 27 | 91.16 13 | 91.15 14 | 92.37 12 SOUTHEAST
13 Brooklyn Nets = 91.25 45 42 90.37( 10) 9 23 | 18 31 | 91.10 14 | 90.98 15 | 92.11 13 ATLANTIC
14 Denver Nuggets = 91.23 49 38 90.37( 9) 12 23 | 18 27 | 91.44 12 | 91.72 12 | 90.76 16 northwest
15 Charlotte Hornets = 90.46 43 40 90.16( 24) 9 19 | 17 28 | 90.06 16 | 90.45 16 | 91.15 15 SOUTHEAST
16 Cleveland Cavaliers = 90.14 44 40 90.07( 27) 9 17 | 18 28 | 90.92 15 | 91.23 13 | 88.01 20 CENTRAL
17 Los Angeles Clippers = 90.00 42 42 90.17( 23) 14 18 | 19 27 | 89.76 18 | 89.81 18 | 90.59 17 pacific
18 New York Knicks = 89.82 37 45 90.15( 25) 10 17 | 15 33 | 89.77 17 | 89.47 19 | 90.37 18 ATLANTIC
19 New Orleans Pelicans = 89.70 40 50 90.56( 5) 11 26 | 15 36 | 88.93 21 | 89.13 20 | 91.34 14 southwest
20 San Antonio Spurs = 89.38 34 49 90.05( 28) 7 23 | 10 34 | 89.69 19 | 88.82 21 | 89.62 19 southwest
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
21 Chicago Bulls = 88.82 47 40 90.34( 12) 6 26 | 21 31 | 89.56 20 | 89.97 17 | 86.20 22 CENTRAL
22 Los Angeles Lakers = 87.01 33 49 90.05( 29) 8 22 | 15 28 | 87.01 22 | 86.85 23 | 86.70 21 pacific
23 Washington Wizards = 86.28 35 47 90.21( 22) 13 13 | 20 28 | 86.47 23 | 86.93 22 | 84.52 24 SOUTHEAST
24 Indiana Pacers = 85.90 25 57 90.27( 19) 7 19 | 8 39 | 86.40 24 | 85.98 24 | 84.41 26 CENTRAL
25 Sacramento Kings = 84.99 30 52 90.27( 18) 5 25 | 7 37 | 84.73 25 | 84.88 25 | 84.51 25 pacific
26 Detroit Pistons = 84.02 23 59 90.34( 13) 5 23 | 13 34 | 82.92 27 | 82.56 28 | 84.93 23 CENTRAL
27 Orlando Magic = 82.81 22 60 90.39( 8) 6 21 | 12 35 | 82.47 28 | 82.30 29 | 82.31 27 SOUTHEAST
28 Oklahoma City Thunder = 82.76 24 58 90.22( 21) 3 27 | 7 37 | 83.01 26 | 82.77 27 | 81.09 29 northwest
29 Houston Rockets = 82.25 20 62 90.25( 20) 2 28 | 6 37 | 81.57 30 | 81.38 30 | 82.10 28 southwest
30 Portland Trail Blazers = 81.69 27 55 90.34( 14) 7 23 | 13 31 | 81.93 29 | 82.79 26 | 77.07 30 northwest
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There are three group ratings, the "central mean", the
"simple average" (also known as the "arithmetic mean",)
and the WIN50%.
The "central mean" gives the most weight to the middle team(s)
in the group and progressively less weight to teams as you go
away from the middle in either direction, up or down.
This tends to smooth out the effect of anomalous teams that are rated
much higher and lower than the middle team(s) in the group. The
"simple average" ("arithmetic mean") weights each team equally
no matter where they are relative to the middle.
Here are a few examples of how the "central mean" is computed.
4-team group ___ the weights are 1-2-2-1
5-team group ___ the weights are 1-2-3-2-1
6-team group ___ the weights are 1-2-3-3-2-1
7-team group ___ the weights are 1-2-3-4-3-2-1
8-team group ___ the weights are 1-2-3-4-4-3-2-1
9-team group ___ the weights are 1-2-3-4-5-4-3-2-1
10-team group ___ the weights are 1-2-3-4-5-5-4-3-2-1
11-team group ___ the weights are 1-2-3-4-5-6-5-4-3-2-1
12-team group ___ the weights are 1-2-3-4-5-6-6-5-4-3-2-1
13-team group ___ the weights are 1-2-3-4-5-6-7-6-5-4-3-2-1
This is an expanded version of the "tri-mean".
The WIN50% is the rating required to win 50% of the games if playing an
infinite number of round-robins in the given group at a neutral location.
DIVISION CENTRAL MEAN SIMPLE AVERAGE TEAMS WIN50%
1 ATLANTIC = 92.42 92.63 ( 1) 5 92.61 ( 1)
2 pacific = 90.79 90.88 ( 2) 5 90.86 ( 2)
3 southwest = 90.51 90.29 ( 3) 5 90.38 ( 3)
4 SOUTHEAST = 89.40 89.20 ( 4) 5 89.23 ( 4)
5 northwest = 88.89 88.45 ( 6) 5 88.54 ( 5)
6 CENTRAL = 88.49 88.55 ( 5) 5 88.53 ( 6)
DIVISION CENTRAL MEAN SIMPLE AVERAGE TEAMS WIN50%
1 ATLANTIC = 92.42 92.63 ( 1) 5 92.61 ( 1)
6 CENTRAL = 88.49 88.55 ( 5) 5 88.53 ( 6)
4 SOUTHEAST = 89.40 89.20 ( 4) 5 89.23 ( 4)
3 southwest = 90.51 90.29 ( 3) 5 90.38 ( 3)
5 northwest = 88.89 88.45 ( 6) 5 88.54 ( 5)
2 pacific = 90.79 90.88 ( 2) 5 90.86 ( 2)
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1 ATLANTIC = 92.42 92.63 ( 1) TEAMS= 5 92.61 ( 1)
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
1 Boston Celtics = 96.75 65 41 90.89( 3) 22 21 | 40 28 | 96.66 1 | 96.40 3 | 98.79 1 ATLANTIC
9 Philadelphia 76ers = 93.25 57 37 90.44( 6) 11 18 | 27 29 | 93.10 9 | 93.45 9 | 93.94 8 ATLANTIC
11 Toronto Raptors = 92.08 50 38 90.33( 15) 18 15 | 27 23 | 91.85 11 | 92.20 11 | 92.70 11 ATLANTIC
13 Brooklyn Nets = 91.25 45 42 90.37( 10) 9 23 | 18 31 | 91.10 14 | 90.98 15 | 92.11 13 ATLANTIC
18 New York Knicks = 89.82 37 45 90.15( 25) 10 17 | 15 33 | 89.77 17 | 89.47 19 | 90.37 18 ATLANTIC
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6 CENTRAL = 88.49 88.55 ( 5) TEAMS= 5 88.53 ( 6)
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
8 Milwaukee Bucks = 93.86 58 36 90.31( 16) 14 16 | 22 28 | 94.07 8 | 93.84 8 | 94.49 7 CENTRAL
16 Cleveland Cavaliers = 90.14 44 40 90.07( 27) 9 17 | 18 28 | 90.92 15 | 91.23 13 | 88.01 20 CENTRAL
21 Chicago Bulls = 88.82 47 40 90.34( 12) 6 26 | 21 31 | 89.56 20 | 89.97 17 | 86.20 22 CENTRAL
24 Indiana Pacers = 85.90 25 57 90.27( 19) 7 19 | 8 39 | 86.40 24 | 85.98 24 | 84.41 26 CENTRAL
26 Detroit Pistons = 84.02 23 59 90.34( 13) 5 23 | 13 34 | 82.92 27 | 82.56 28 | 84.93 23 CENTRAL
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4 SOUTHEAST = 89.40 89.20 ( 4) TEAMS= 5 89.23 ( 4)
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
5 Miami Heat = 95.04 64 36 90.56( 4) 17 19 | 34 28 | 94.68 6 | 95.01 5 | 96.64 4 SOUTHEAST
12 Atlanta Hawks = 91.40 46 43 90.31( 17) 14 17 | 23 27 | 91.16 13 | 91.15 14 | 92.37 12 SOUTHEAST
15 Charlotte Hornets = 90.46 43 40 90.16( 24) 9 19 | 17 28 | 90.06 16 | 90.45 16 | 91.15 15 SOUTHEAST
23 Washington Wizards = 86.28 35 47 90.21( 22) 13 13 | 20 28 | 86.47 23 | 86.93 22 | 84.52 24 SOUTHEAST
27 Orlando Magic = 82.81 22 60 90.39( 8) 6 21 | 12 35 | 82.47 28 | 82.30 29 | 82.31 27 SOUTHEAST
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3 southwest = 90.51 90.29 ( 3) TEAMS= 5 90.38 ( 3)
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
4 Memphis Grizzlies = 95.70 62 32 90.40( 7) 19 19 | 28 24 | 95.97 4 | 95.47 4 | 96.90 3 southwest
6 Dallas Mavericks = 94.40 61 39 90.92( 2) 24 21 | 32 26 | 94.28 7 | 94.28 7 | 95.67 5 southwest
19 New Orleans Pelicans = 89.70 40 50 90.56( 5) 11 26 | 15 36 | 88.93 21 | 89.13 20 | 91.34 14 southwest
20 San Antonio Spurs = 89.38 34 49 90.05( 28) 7 23 | 10 34 | 89.69 19 | 88.82 21 | 89.62 19 southwest
29 Houston Rockets = 82.25 20 62 90.25( 20) 2 28 | 6 37 | 81.57 30 | 81.38 30 | 82.10 28 southwest
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5 northwest = 88.89 88.45 ( 6) TEAMS= 5 88.54 ( 5)
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
7 Utah Jazz = 94.04 51 37 90.12( 26) 14 19 | 24 23 | 94.96 5 | 94.46 6 | 93.57 9 northwest
10 Minnesota Timberwolves = 92.54 49 40 90.35( 11) 15 18 | 21 26 | 92.66 10 | 92.27 10 | 93.31 10 northwest
14 Denver Nuggets = 91.23 49 38 90.37( 9) 12 23 | 18 27 | 91.44 12 | 91.72 12 | 90.76 16 northwest
28 Oklahoma City Thunder = 82.76 24 58 90.22( 21) 3 27 | 7 37 | 83.01 26 | 82.77 27 | 81.09 29 northwest
30 Portland Trail Blazers = 81.69 27 55 90.34( 14) 7 23 | 13 31 | 81.93 29 | 82.79 26 | 77.07 30 northwest
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2 pacific = 90.79 90.88 ( 2) TEAMS= 5 90.86 ( 2)
Final NBA 2021-2022 through games of 2022 June 16 Thursday - NBA FINALS
RATING W L SCHEDL(RANK) VS top 10 | VS top 16 | PREDICTOR | GOLDEN_MEAN | RECENT
HOME ADVANTAGE=[ 1.77] [ 1.76] [ 1.78] [ 1.76]
2 Golden State Warriors = 96.67 69 35 90.97( 1) 26 19 | 38 26 | 96.42 3 | 96.59 2 | 98.51 2 pacific
3 Phoenix Suns = 95.74 71 24 89.91( 30) 20 12 | 30 15 | 96.45 2 | 96.84 1 | 95.34 6 pacific
17 Los Angeles Clippers = 90.00 42 42 90.17( 23) 14 18 | 19 27 | 89.76 18 | 89.81 18 | 90.59 17 pacific
22 Los Angeles Lakers = 87.01 33 49 90.05( 29) 8 22 | 15 28 | 87.01 22 | 86.85 23 | 86.70 21 pacific
25 Sacramento Kings = 84.99 30 52 90.27( 18) 5 25 | 7 37 | 84.73 25 | 84.88 25 | 84.51 25 pacific
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endfile
Predictions_with_Totals
These are the "regular method". _ HOME or CLOSEBY (c) team in CAPS _ both teams in lower case _ means "n" for NEUTRAL location Rating Favorite _ MONEY=odds to 100 _ FAVORITE Rating Predict Golden Recent UNDERDOG ODDS PCT% TOTAL _ ====================================================================================================== GOLDEN STATE WARRIOR 1.68 1.52 1.97 1.48 boston celtics 123 55% 210.83 EIGENVECTOR Analysis eigen MONEY=odds to 100 EPCT%=confidence EFAVORITE ESPREAD EODDS EPCT% EUNDERDOG 1 @ Golden State Warrior 1.74 124 55% Boston Celtics endfileTop_of_Page