Correlations Between Various Rating Methods
For each of the 1994-95 NBA teams, I have calculated
several different measures of evaluating
teams, including three linear weights measures (Barra,
Credits, and HGS), as well as the Correlated
Gaussian method and the Pythagorean method. An ideal statistic
correlates with the actual winning percentage of the
team perfectly; in other words, it has a correlation of
1.000. As can be seen at the bottom of the table,
the Correlated Gaussian method does the best, followed
closely by the Pythagorean Method. The Linear Weights
methods all do relatively poorly, indicating that their
use provides relatively little information about the
potential for winning.
Tm Barra Credits HGS CorrGauss% Pyth% Actual%
ATL 12286 8751 7378.6 0.550 0.571 0.512
BOS 12494 9127 7812.4 0.485 0.474 0.427
CHA 12669 9501 7842.7 0.600 0.633 0.610
CHI 12937 9463 8024.5 0.635 0.690 0.573
CLV 11404 8200 6983 0.519 0.528 0.524
DAL 12802 9229 7966.2 0.410 0.388 0.439
DEN 13015 9483 8080.6 0.519 0.528 0.500
DET 12233 8819 7438.1 0.281 0.235 0.341
GSW 12911 9335 7977.9 0.338 0.305 0.317
HOU 13315 9858 8103 0.560 0.580 0.573
IND 12514 9221 7922.6 0.617 0.656 0.634
LAC 12068 8329 7365.4 0.265 0.183 0.207
LAL 13617 9853 8349.9 0.493 0.491 0.585
MIA 12268 8947 7584.6 0.441 0.391 0.390
MIL 12024 8558 7353.1 0.361 0.331 0.415
MIN 11388 8132 7143.1 0.243 0.182 0.256
NJN 12693 9146 7836.8 0.387 0.359 0.366
NYK 12458 9213 7700.8 0.601 0.624 0.671
ORL 14282 10585 9037.2 0.684 0.750 0.695
PHI 11990 8399 7274.1 0.350 0.298 0.293
PHO 13727 10347 8646.6 0.630 0.643 0.720
POR 13192 9423 8090.7 0.607 0.651 0.537
SAC 12324 8828 7665.6 0.467 0.458 0.476
SAS 13604 10115 8535.2 0.715 0.722 0.756
SEA 14183 10538 8983.7 0.720 0.781 0.695
UTA 13731 10489 8945.3 0.721 0.784 0.732
WAS 12196 8726 7426.7 0.262 0.290 0.256
Correl 0.714 0.799 0.7441 0.958 0.949
Using 1994-95 NBA Team Statistics
Barra = PTS+REB+AST+2*STL+2*BLK-TO-0.5*(FGA-FGM)
(From his ESPNet article)
Credits = PTS+REB+AST+STL+BLK-TO-(FGA-FGM)-(FTA-FTM)
(From Martin Manley's Basketball Heaven)
HGS (HoopStat Grading System) =
1.4*FGM+FTM+0.85*OR+0.5*DefR+AST+STL+1.4*BLK-0.8*TO-
0.6*(FGA-FGM)
(From HoopStats, by Joshua Trupin and Gerald Secor Couzens.)
CorrGaus% = NORM{[PPG-Opp.PPG]/[Var(PPG)+Var(Opp.PPG) -
2*Cov(PPG,Opp.PPF)]}, where NORM means to take the percentile of the
normal (mean=0, variance=1) distribution having the value in braces, etc.
See explanation in Bell Curve article.)
Pyth% = Pts^16.5/(Pts^16.5 + Opp. Pts^16.5)
= Off. Rtg^16.5/(Off. Rtg^16.5 + Def. Rtg^16.5)
(From The Basketball Hoopla, by L. Dean Oliver.)
Actual% = Actual Winning Percentage of the team
Correl. = Statistical correlation between the columnar statistics and actual
winning percentage.