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Adjusted Plus-Minus Ratings:
By Steve Ilardi, Ph.D. and Aaron Barzilai, Ph.D
|
Team | Pos | Player | |||||||
BOS | 4 | Garnett, Kevin | 6.88 | 1.06 | 7.59 | 1.06 | 14.47 | 1.41 | 2328 |
DEN | 4 | Martin, Kenyon | -1.86 | 1.14 | 6.05 | 1.14 | 4.19 | 1.52 | 2160 |
NO | 5 | Chandler, Tyson | 0.58 | 1.20 | 4.63 | 1.20 | 5.21 | 1.60 | 2783 |
HOU | 5 | Ming, Yao | 0.21 | 1.17 | 4.56 | 1.17 | 4.77 | 1.56 | 2044 |
HOU | 3 | Artest, Ron | 1.79 | 1.09 | 4.52 | 1.09 | 6.31 | 1.46 | 2172 |
SAN | 4 | Duncan, Tim | 4.39 | 1.27 | 4.46 | 1.26 | 8.85 | 1.69 | 2651 |
CLE | 5 | Wallace, Ben | -4.27 | 0.89 | 4.44 | 0.89 | 0.17 | 1.19 | 2205 |
MIA | 3 | Marion, Shawn | -0.48 | 0.98 | 4.34 | 0.98 | 3.87 | 1.31 | 2315 |
LAC | 5 | Camby, Marcus | -1.34 | 1.23 | 4.34 | 1.23 | 3.00 | 1.64 | 2758 |
ATL | 4 | Smith, Josh | -1.28 | 1.14 | 4.19 | 1.14 | 2.91 | 1.52 | 2873 |
WAS | 5 | Haywood, Brendan | -1.65 | 1.20 | 4.18 | 1.20 | 2.52 | 1.60 | 2228 |
SAC | 5 | Miller, Brad | 2.08 | 1.21 | 4.03 | 1.21 | 6.11 | 1.61 | 2513 |
NO | 4 | West, David | -3.14 | 1.31 | 3.83 | 1.31 | 0.69 | 1.74 | 2870 |
MIL | 5 | Bogut, Andrew | 0.39 | 1.50 | 3.71 | 1.50 | 4.10 | 1.99 | 2720 |
SAN | 2 | Ginobili, Manu | 4.93 | 0.97 | 3.66 | 0.97 | 8.59 | 1.29 | 2299 |
DET | 5 | Wallace, Rasheed | 1.61 | 1.17 | 3.66 | 1.17 | 5.26 | 1.56 | 2346 |
LAL | 3 | Odom, Lamar | -3.53 | 1.00 | 3.64 | 1.00 | 0.11 | 1.33 | 2921 |
DET | 3 | Prince, Tayshaun | 0.33 | 1.34 | 3.34 | 1.33 | 3.67 | 1.78 | 2694 |
DAL | 3 | Howard, Josh | 0.52 | 1.13 | 3.27 | 1.13 | 3.79 | 1.50 | 2764 |
TOR | 3 | Moon, Jamario | 3.88 | 1.37 | 3.19 | 1.37 | 7.07 | 1.82 | 2166 |
LAL | 4 | Gasol, Pau | 2.50 | 0.96 | 3.12 | 0.96 | 5.62 | 1.28 | 2351 |
POR | 4 | Aldridge, LaMarcus | 2.21 | 1.51 | 3.06 | 1.51 | 5.27 | 2.02 | 2649 |
CHA | 3 | Wallace, Gerald | -0.20 | 1.23 | 2.98 | 1.23 | 2.78 | 1.64 | 2376 |
SA | 3 | Bowen, Bruce | -4.01 | 1.18 | 2.83 | 1.17 | -1.18 | 1.56 | 2448 |
PHX | 3 | Hill, Grant | -1.73 | 1.00 | 2.51 | 1.00 | 0.78 | 1.33 | 2222 |
CLE | 3 | James, LeBron | 9.24 | 1.13 | 2.41 | 1.12 | 11.65 | 1.50 | 3027 |
TOR | 4 | Bosh, Chris | 3.71 | 1.13 | 2.40 | 1.13 | 6.10 | 1.50 | 2425 |
PHI | 2 | Iguodala, Andre | -1.56 | 1.29 | 2.29 | 1.29 | 0.73 | 1.71 | 3242 |
NJ | 2 | Carter, Vince | 1.89 | 1.09 | 2.27 | 1.09 | 4.17 | 1.46 | 2959 |
PHO | 2 | Bell, Raja | -1.97 | 1.05 | 2.15 | 1.05 | 0.18 | 1.39 | 2646 |
CLE | 5 | Ilgauskas, Zydrunas | -2.70 | 1.14 | 2.07 | 1.13 | -0.62 | 1.51 | 2222 |
UTA | 2 | Brewer, Ronnie | 1.30 | 1.30 | 2.05 | 1.30 | 3.35 | 1.74 | 2088 |
LAC | 5 | Kaman, Chris | -4.86 | 1.19 | 1.97 | 1.19 | -2.88 | 1.58 | 2083 |
UTA | 3 | Kirilenko, Andrei | 4.28 | 1.21 | 1.94 | 1.21 | 6.22 | 1.62 | 2217 |
GSW | 5 | Biedrins, Andris | 0.47 | 1.22 | 1.86 | 1.22 | 2.33 | 1.62 | 2079 |
PHO | 4 | Diaw, Boris | -1.82 | 1.02 | 1.84 | 1.02 | 0.03 | 1.36 | 2308 |
HOU | 3 | Battier, Shane | 0.87 | 1.07 | 1.83 | 1.07 | 2.69 | 1.43 | 2907 |
IND | 3 | Dunleavy, Mike | 2.29 | 1.09 | 1.74 | 1.09 | 4.04 | 1.45 | 2953 |
ORL | 5 | Howard, Dwight | 2.78 | 1.45 | 1.71 | 1.45 | 4.49 | 1.93 | 3088 |
OK | 4 | Collison, Nick | 1.92 | 1.18 | 1.57 | 1.18 | 3.49 | 1.57 | 2230 |
ORL | 2 | Bogans, Keith | 0.70 | 1.03 | 1.57 | 1.03 | 2.27 | 1.37 | 2198 |
MIN | 2 | McCants, Rashad | 3.43 | 1.30 | 1.56 | 1.30 | 4.99 | 1.73 | 2018 |
LAL | 1 | Fisher, Derek | -1.09 | 1.06 | 1.55 | 1.06 | 0.46 | 1.41 | 2249 |
ATL | 4 | Horford, Al | -1.46 | 1.39 | 1.47 | 1.39 | 0.01 | 1.85 | 2540 |
LAC | 1 | Davis, Baron | 5.96 | 1.10 | 1.46 | 1.10 | 7.42 | 1.47 | 3196 |
DAL | 4 | Nowitzki, Dirk | 4.67 | 1.17 | 1.35 | 1.17 | 6.02 | 1.56 | 2769 |
HOU | 4 | Scola, Luis | -2.28 | 1.37 | 1.27 | 1.37 | -1.02 | 1.83 | 2024 |
CHI | 1 | Hinrich, Kirk | -1.98 | 1.12 | 1.26 | 1.11 | -0.72 | 1.48 | 2380 |
MEM | 1 | Lowry, Kyle | 0.24 | 1.68 | 1.23 | 1.67 | 1.47 | 2.23 | 2089 |
PHI | 5 | Dalembert, Samuel | -0.39 | 1.26 | 1.10 | 1.26 | 0.71 | 1.67 | 2724 |
DET | 4 | McDyess, Antonio | -0.26 | 1.08 | 0.89 | 1.08 | 0.63 | 1.44 | 2285 |
GSW | 3 | Maggette, Corey | 2.43 | 1.09 | 0.70 | 1.09 | 3.13 | 1.45 | 2502 |
GSW | 2 | Jackson, Stephen | 0.66 | 1.00 | 0.62 | 1.00 | 1.28 | 1.33 | 2855 |
DAL | 1 | Kidd, Jason | 5.98 | 1.08 | 0.49 | 1.08 | 6.47 | 1.44 | 2906 |
BOS | 3 | Pierce, Paul | 7.33 | 1.02 | 0.48 | 1.02 | 7.81 | 1.35 | 2874 |
CHI | 3 | Deng, Luol | 4.52 | 1.24 | 0.43 | 1.24 | 4.95 | 1.65 | 2128 |
ORL | 3 | Lewis, Rashard | 3.10 | 1.01 | 0.42 | 1.01 | 3.52 | 1.35 | 3076 |
OKC | 1 | Watson, Earl | 0.27 | 1.23 | 0.31 | 1.23 | 0.59 | 1.63 | 2273 |
CHA | 1 | Felton, Raymond | 1.97 | 1.33 | 0.28 | 1.33 | 2.25 | 1.77 | 2972 |
SAC | 4 | Moore, Mikki | -0.58 | 1.07 | 0.15 | 1.07 | -0.42 | 1.42 | 2385 |
ATL | 2 | Johnson, Joe | 1.90 | 1.12 | 0.13 | 1.12 | 2.04 | 1.49 | 3337 |
LAC | 2 | Mobley, Cuttino | 0.77 | 1.01 | 0.12 | 1.01 | 0.89 | 1.34 | 2702 |
UTA | 5 | Okur, Mehmet | -0.37 | 1.17 | 0.05 | 1.17 | -0.32 | 1.55 | 2390 |
UTA | 1 | Williams, Deron | 2.63 | 1.53 | 0.00 | 1.52 | 2.63 | 2.03 | 3059 |
MEM | 2 | Jaric, Marko | -2.97 | 1.10 | -0.05 | 1.10 | -3.02 | 1.46 | 2190 |
DET | 2 | Hamilton, Richard | 1.00 | 1.24 | -0.08 | 1.24 | 0.93 | 1.66 | 2424 |
GSW | 2 | Ellis, Monta | -0.14 | 1.27 | -0.14 | 1.27 | -0.27 | 1.69 | 3071 |
NO | 3 | Stojakovic, Peja | 5.05 | 1.15 | -0.19 | 1.15 | 4.86 | 1.53 | 2711 |
NYK | 4 | Lee, David | -1.35 | 1.28 | -0.20 | 1.28 | -1.55 | 1.70 | 2356 |
CHA | 5 | Okafor, Emeka | -3.15 | 1.30 | -0.26 | 1.30 | -3.41 | 1.73 | 2718 |
MIN | 3 | Gomes, Ryan | 3.18 | 1.30 | -0.37 | 1.30 | 2.82 | 1.73 | 2434 |
SAC | 1 | Udrih, Beno | -0.97 | 1.26 | -0.40 | 1.26 | -1.37 | 1.68 | 2080 |
WAS | 3 | Butler, Caron | 2.10 | 1.07 | -0.43 | 1.07 | 1.67 | 1.42 | 2314 |
NJ | 1 | Harris, Devin | 6.89 | 1.16 | -0.46 | 1.16 | 6.43 | 1.54 | 2022 |
HOU | 1 | Alston, Rafer | -0.51 | 1.11 | -0.46 | 1.11 | -0.97 | 1.48 | 2526 |
LAL | 2 | Bryant, Kobe | 8.96 | 1.11 | -0.47 | 1.11 | 8.49 | 1.48 | 3192 |
BOS | 1 | Rondo, Rajon | -4.20 | 1.37 | -0.48 | 1.37 | -4.67 | 1.82 | 2306 |
CHA | 3 | Richardson, Jason | 1.46 | 1.04 | -0.55 | 1.04 | 0.91 | 1.38 | 3149 |
MIN | 2 | Miller, Mike | 3.72 | 1.14 | -0.63 | 1.14 | 3.10 | 1.52 | 2474 |
ORL | 3 | Turkoglu, Hedo | 4.58 | 1.13 | -0.74 | 1.13 | 3.83 | 1.50 | 3026 |
NY | 2 | Crawford, Jamal | 3.40 | 1.18 | -0.96 | 1.18 | 2.44 | 1.57 | 3190 |
POR | 3 | Outlaw, Travis | 2.52 | 1.36 | -1.13 | 1.36 | 1.39 | 1.80 | 2186 |
SA | 1 | Parker, Tony | 0.67 | 1.29 | -1.22 | 1.28 | -0.56 | 1.71 | 2312 |
POR | 2 | Roy, Brandon | 2.41 | 1.46 | -1.23 | 1.47 | 1.18 | 1.95 | 2792 |
NYK | 4 | Randolph, Zach | 0.87 | 1.04 | -1.27 | 1.04 | -0.40 | 1.38 | 2244 |
TOR | 2 | Parker, Anthony | 1.21 | 1.50 | -1.36 | 1.50 | -0.15 | 2.00 | 2634 |
CHI | 4 | Gooden, Drew | -2.31 | 1.14 | -1.36 | 1.14 | -3.67 | 1.52 | 2122 |
CHA | 3 | Carroll, Matt | 2.56 | 1.18 | -1.40 | 1.18 | 1.16 | 1.57 | 2016 |
WAS | 4 | Jamison, Antawn | 4.63 | 1.18 | -1.45 | 1.18 | 3.19 | 1.57 | 3061 |
GSW | 4 | Harrington, Al | -0.42 | 0.96 | -1.45 | 0.96 | -1.87 | 1.28 | 2190 |
DEN | 2 | Iverson, Allen | 4.97 | 1.15 | -1.64 | 1.15 | 3.34 | 1.54 | 3424 |
WAS | 2 | Stevenson, DeShawn | 0.93 | 1.11 | -1.70 | 1.11 | -0.77 | 1.48 | 2564 |
MEM | 3 | Gay, Rudy | 0.42 | 1.37 | -1.74 | 1.37 | -1.32 | 1.82 | 3000 |
WAS | 2 | Daniels, Antonio | 0.88 | 1.12 | -1.79 | 1.12 | -0.91 | 1.50 | 2161 |
BOS | 2 | Allen, Ray | 2.73 | 1.00 | -1.80 | 1.00 | 0.92 | 1.33 | 2624 |
UTA | 4 | Boozer, Carlos | 1.97 | 1.26 | -1.95 | 1.26 | 0.02 | 1.68 | 2827 |
POR | 1 | Blake, Steve | 0.03 | 1.19 | -2.04 | 1.19 | -2.01 | 1.59 | 2424 |
HOU | 2 | McGrady, Tracy | 4.89 | 1.18 | -2.05 | 1.18 | 2.85 | 1.57 | 2440 |
SAC | 2 | Salmons, John | -3.47 | 1.07 | -2.08 | 1.07 | -5.55 | 1.42 | 2517 |
IND | 4 | Murphy, Troy | -0.78 | 1.15 | -2.11 | 1.15 | -2.89 | 1.52 | 2106 |
SA | 2 | Finley, Michael | -0.14 | 0.91 | -2.13 | 0.91 | -2.27 | 1.21 | 2204 |
CHI | 3 | Nocioni, Andres | 1.02 | 1.17 | -2.17 | 1.17 | -1.15 | 1.56 | 2020 |
LAC | 2 | Davis, Ricky | -2.17 | 1.03 | -2.24 | 1.03 | -4.41 | 1.37 | 2963 |
POR | 3 | Webster, Martell | -1.62 | 1.35 | -2.29 | 1.35 | -3.91 | 1.79 | 2132 |
IND | 1 | Jack, Jarrett | -5.48 | 1.33 | -2.42 | 1.34 | -7.89 | 1.78 | 2229 |
DAL | 1 | Terry, Jason | 6.01 | 1.07 | -2.49 | 1.07 | 3.52 | 1.42 | 2579 |
DET | 1 | Billups, Chauncey | 4.80 | 1.30 | -2.54 | 1.29 | 2.27 | 1.73 | 2522 |
PHX | 4 | Stoudemire, Amare | 4.39 | 1.12 | -2.63 | 1.11 | 1.76 | 1.48 | 2677 |
CLE | 1 | Williams, Mo | 0.86 | 1.27 | -2.67 | 1.27 | -1.81 | 1.69 | 2410 |
SAC | 3 | Garcia, Francisco | 1.82 | 1.24 | -2.75 | 1.24 | -0.93 | 1.65 | 2096 |
3 | Childress, Josh | 2.34 | 1.10 | -2.76 | 1.10 | -0.42 | 1.47 | 2274 | |
CHI | 2 | Hughes, Larry | -1.06 | 1.04 | -2.77 | 1.04 | -3.83 | 1.38 | 2020 |
ATL | 3 | Williams, Marvin | -1.03 | 1.16 | -3.03 | 1.16 | -4.07 | 1.55 | 2763 |
OKC | 3 | Green, Jeff | -2.04 | 1.34 | -3.03 | 1.34 | -5.07 | 1.79 | 2253 |
PHI | 1 | Miller, Andre | 2.56 | 1.20 | -3.08 | 1.20 | -0.52 | 1.60 | 3016 |
MIL | 3 | Jefferson, Richard | 0.73 | 1.16 | -3.18 | 1.16 | -2.45 | 1.55 | 3201 |
PHX | 1 | Nash, Steve | 10.01 | 1.16 | -3.24 | 1.16 | 6.77 | 1.55 | 2780 |
IND | 3 | Granger, Danny | -1.04 | 1.18 | -3.28 | 1.18 | -4.32 | 1.57 | 2876 |
CHI | 2 | Gordon, Ben | 0.10 | 1.16 | -3.47 | 1.16 | -3.37 | 1.55 | 2291 |
TOR | 1 | Calderon, Jose | 3.14 | 1.54 | -3.69 | 1.54 | -0.55 | 2.05 | 2484 |
1 | Navarro, Juan Carlos | 1.55 | 1.36 | -3.76 | 1.36 | -2.21 | 1.81 | 2117 | |
OKC | 2 | Durant, Kevin | -1.36 | 1.43 | -4.11 | 1.43 | -5.47 | 1.90 | 2768 |
DEN | 3 | Anthony, Carmelo | 2.32 | 1.20 | -4.15 | 1.20 | -1.83 | 1.60 | 2807 |
MIL | 2 | Redd, Michael | 4.55 | 1.23 | -4.47 | 1.23 | 0.08 | 1.64 | 2702 |
NO | 1 | Paul, Chris | 9.24 | 1.52 | -4.54 | 1.52 | 4.69 | 2.02 | 3006 |
MIN | 4 | Jefferson, Al | -0.07 | 1.36 | -4.54 | 1.36 | -4.61 | 1.81 | 2919 |
LAC | 3 | Thornton, Al | -3.13 | 1.36 | -4.55 | 1.36 | -7.68 | 1.81 | 2158 |
PHO | 1 | Barbosa, Leandro | 1.85 | 1.02 | -5.43 | 1.02 | -3.58 | 1.36 | 2421 |
SAC | 4 | Martin, Kevin | 3.47 | 1.20 | -5.63 | 1.20 | -2.16 | 1.59 | 2216 |
Players with <2000 Minutes
Team | Pos | Player | |||||||
HOU | 4 | Hayes, Chuck | -4.22 | 1.36 | 9.76 | 1.36 | 5.55 | 1.81 | 1575 |
HOU | 5 | Mutombo, Dikembe | -1.26 | 1.49 | 7.17 | 1.49 | 5.91 | 1.98 | 619 |
MIA | 5 | Mourning, Alonzo | -1.61 | 1.61 | 6.64 | 1.61 | 5.03 | 2.15 | 389 |
UTA | 1 | Price, Ronnie | 1.13 | 1.86 | 6.04 | 1.86 | 7.17 | 2.48 | 588 |
DAL | 5 | Diop, DeSagana | -5.54 | 1.31 | 5.54 | 1.31 | 0.00 | 1.74 | 1296 |
BOS | 5 | Perkins, Kendrick | -4.79 | 1.21 | 5.50 | 1.21 | 0.71 | 1.61 | 1913 |
PHX | 5 | O'Neal, Shaquille | 1.12 | 1.03 | 5.49 | 1.03 | 6.61 | 1.36 | 1748 |
NJ | 4 | Najera, Eduardo | -0.18 | 1.18 | 5.47 | 1.18 | 5.29 | 1.57 | 1664 |
MIA | 4 | Lasme, Stephane | -1.11 | 3.42 | 5.47 | 3.43 | 4.36 | 4.55 | 303 |
DEN | 5 | Hilario, Nene | -4.40 | 1.49 | 5.45 | 1.49 | 1.05 | 1.99 | 266 |
MIN | 5 | Collins, Jason | -6.49 | 1.21 | 5.35 | 1.21 | -1.15 | 1.62 | 1172 |
POR | 5 | Przybilla, Joel | -2.39 | 1.31 | 4.99 | 1.31 | 2.60 | 1.75 | 1820 |
TOR | 5 | O'Neal, Jermaine | -3.63 | 1.23 | 4.94 | 1.23 | 1.31 | 1.64 | 1206 |
SAN | 4 | Thomas, Kurt | -2.65 | 0.96 | 4.64 | 0.96 | 1.99 | 1.28 | 1584 |
CLE | 4 | Varejao, Anderson | -4.11 | 1.29 | 4.59 | 1.29 | 0.48 | 1.72 | 1320 |
HOU | 4 | Landry, Carl | 2.04 | 1.89 | 4.51 | 1.89 | 6.55 | 2.51 | 711 |
BOS | 2 | Allen, Tony | -0.30 | 1.27 | 4.45 | 1.27 | 4.15 | 1.70 | 1373 |
SAN | 4 | Horry, Robert | -2.89 | 1.22 | 4.10 | 1.22 | 1.21 | 1.62 | 580 |
IND | 5 | Nesterovic, Rasho | -4.63 | 1.10 | 4.05 | 1.10 | -0.58 | 1.47 | 1486 |
DET | 4 | Johnson, Amir | 2.65 | 2.05 | 3.97 | 2.05 | 6.62 | 2.73 | 764 |
MIA | 5 | Barron, Earl | -6.36 | 1.86 | 3.88 | 1.86 | -2.48 | 2.48 | 889 |
PHI | 5 | Ratliff, Theo | -2.68 | 1.41 | 3.85 | 1.41 | 1.17 | 1.87 | 437 |
POR | 4 | Frye, Channing | 0.80 | 1.33 | 3.83 | 1.33 | 4.62 | 1.77 | 1342 |
PHX | 2 | Giricek, Gordan | -1.96 | 1.20 | 3.72 | 1.20 | 1.76 | 1.59 | 831 |
PHI | 4 | Evans, Reggie | -1.73 | 1.10 | 3.57 | 1.09 | 1.85 | 1.46 | 1879 |
SAC | 4 | Songaila, Darius | 0.15 | 1.19 | 3.48 | 1.19 | 3.63 | 1.58 | 1554 |
MIL | 3 | Griffin, Adrian | -0.59 | 1.74 | 3.31 | 1.73 | 2.72 | 2.31 | 307 |
IND | 2 | Owens, Andre | -1.37 | 2.43 | 3.29 | 2.43 | 1.92 | 3.24 | 392 |
DEN | 3 | Balkman, Renaldo | -1.66 | 1.60 | 3.25 | 1.59 | 1.59 | 2.12 | 952 |
IND | 5 | Foster, Jeff | -0.07 | 1.09 | 3.22 | 1.09 | 3.16 | 1.46 | 1884 |
MIL | 5 | Elson, Francisco | -6.37 | 1.27 | 3.21 | 1.27 | -3.16 | 1.70 | 813 |
OKC | 5 | Petro, Johan | -6.63 | 1.34 | 3.10 | 1.34 | -3.53 | 1.78 | 1303 |
SAN | 3 | Udoka, Ime | -0.46 | 1.16 | 3.08 | 1.16 | 2.62 | 1.54 | 1316 |
MEM | 3 | Jacobsen, Casey | -1.61 | 1.63 | 3.06 | 1.63 | 1.45 | 2.16 | 547 |
SAC | 3 | Jones, Bobby | -9.50 | 1.99 | 3.04 | 1.99 | -6.46 | 2.65 | 530 |
MEM | 5 | Milicic, Darko | -5.59 | 1.25 | 3.01 | 1.25 | -2.58 | 1.67 | 1663 |
MIL | 4 | Gadzuric, Dan | -1.56 | 1.62 | 2.97 | 1.62 | 1.41 | 2.16 | 534 |
ATL | 5 | Williams, Shelden | -1.88 | 1.57 | 2.74 | 1.57 | 0.87 | 2.09 | 778 |
CHI | 5 | Noah, Joakim | -0.60 | 1.43 | 2.71 | 1.43 | 2.10 | 1.90 | 1534 |
CLE | 2 | Pavlovic, Sasha | -4.56 | 1.19 | 2.70 | 1.19 | -1.87 | 1.58 | 1188 |
MIA | 3 | Powell, Kasib | -8.55 | 3.30 | 2.64 | 3.31 | -5.91 | 4.39 | 304 |
NJ | 2 | Dooling, Keyon | -2.29 | 1.18 | 2.62 | 1.18 | 0.34 | 1.57 | 1334 |
CHI | 3 | Sefolosha, Thabo | -3.24 | 1.41 | 2.54 | 1.40 | -0.70 | 1.88 | 1436 |
UTA | 5 | Collins, Jarron | -3.58 | 1.42 | 2.52 | 1.42 | -1.06 | 1.89 | 702 |
CLE | 1 | Snow, Eric | -3.69 | 1.31 | 2.44 | 1.30 | -1.25 | 1.74 | 305 |
MIA | 5 | Magloire, Jamaal | -3.18 | 1.40 | 2.43 | 1.40 | -0.75 | 1.86 | 286 |
MIN | 5 | Harrison, David | -1.78 | 1.64 | 2.39 | 1.64 | 0.61 | 2.19 | 702 |
CLE | 1 | Gibson, Daniel | 2.59 | 1.19 | 2.37 | 1.19 | 4.96 | 1.59 | 1765 |
DAL | 3 | Wright, Antoine | -6.84 | 1.33 | 2.28 | 1.33 | -4.56 | 1.77 | 1231 |
ORL | 4 | Garrity, Pat | -4.85 | 2.03 | 2.24 | 2.04 | -2.62 | 2.70 | 284 |
CHI | 4 | Thomas, Tyrus | -1.38 | 1.37 | 2.21 | 1.37 | 0.83 | 1.82 | 1330 |
MIN | 4 | Cardinal, Brian | 2.71 | 1.62 | 2.17 | 1.63 | 4.88 | 2.16 | 440 |
OKC | 4 | Wilcox, Chris | 0.25 | 1.15 | 2.10 | 1.15 | 2.35 | 1.54 | 1739 |
DET | 2 | Afflalo, Arron | -5.69 | 1.86 | 2.02 | 1.84 | -3.67 | 2.47 | 970 |
MIN | 5 | Doleac, Michael | -4.27 | 1.77 | 2.01 | 1.77 | -2.25 | 2.36 | 257 |
MIA | 5 | Blount, Mark | -5.30 | 1.17 | 1.91 | 1.17 | -3.39 | 1.56 | 1542 |
TOR | 4 | Humphries, Kris | -5.95 | 1.52 | 1.89 | 1.52 | -4.05 | 2.02 | 925 |
CHI | 4 | Ruffin, Michael | -0.56 | 1.60 | 1.79 | 1.60 | 1.23 | 2.14 | 632 |
SA | 5 | Oberto, Fabricio | -1.57 | 1.14 | 1.76 | 1.14 | 0.19 | 1.52 | 1646 |
MIA | 3 | Diawara, Yakhouba | -5.16 | 1.68 | 1.65 | 1.68 | -3.51 | 2.24 | 542 |
NJ | 5 | Krstic, Nenad | -4.04 | 1.41 | 1.63 | 1.41 | -2.41 | 1.88 | 812 |
NO | 3 | Bowen, Ryan | -0.64 | 1.71 | 1.60 | 1.70 | 0.96 | 2.28 | 660 |
LAL | 1 | Farmar, Jordan | -5.19 | 1.44 | 1.48 | 1.44 | -3.71 | 1.92 | 1690 |
UTA | 1 | Knight, Brevin | -2.94 | 1.20 | 1.47 | 1.20 | -1.46 | 1.60 | 1674 |
DET | 4 | Maxiell, Jason | 3.27 | 1.24 | 1.46 | 1.24 | 4.73 | 1.65 | 1768 |
DAL | 3 | George, Devean | -2.25 | 1.21 | 1.45 | 1.21 | -0.80 | 1.61 | 821 |
NO | 5 | Ely, Melvin | -2.66 | 1.49 | 1.44 | 1.49 | -1.22 | 1.98 | 621 |
NO | 3 | Butler, Rasual | -2.57 | 1.31 | 1.36 | 1.31 | -1.21 | 1.75 | 875 |
ATL | 5 | Pachulia, Zaza | -0.05 | 1.26 | 1.33 | 1.26 | 1.28 | 1.68 | 944 |
NJ | 3 | Jianlian, Yi | -5.62 | 1.59 | 1.29 | 1.60 | -4.33 | 2.12 | 1647 |
LAC | 3 | Thomas, Tim | -1.06 | 1.03 | 1.25 | 1.03 | 0.19 | 1.37 | 1940 |
SAC | 1 | Jackson, Bobby | -3.06 | 1.16 | 1.25 | 1.16 | -1.80 | 1.55 | 1389 |
PHI | 3 | Young, Thaddeus | 4.11 | 1.38 | 1.21 | 1.38 | 5.32 | 1.84 | 1554 |
NYK | 1 | Duhon, Chris | -1.98 | 1.19 | 1.21 | 1.19 | -0.77 | 1.59 | 1490 |
CHA | 2 | Anderson, Derek | -2.32 | 1.46 | 1.21 | 1.46 | -1.11 | 1.95 | 396 |
BOS | 4 | Scalabrine, Brian | -2.81 | 1.50 | 1.20 | 1.49 | -1.60 | 1.99 | 512 |
DAL | 5 | Dampier, Erick | -5.88 | 1.20 | 1.20 | 1.20 | -4.68 | 1.60 | 1755 |
CHA | 3 | Dudley, Jared | 0.90 | 1.53 | 1.18 | 1.53 | 2.08 | 2.03 | 1384 |
MIL | 5 | Voskuhl, Jake | -3.60 | 1.67 | 1.15 | 1.67 | -2.44 | 2.22 | 386 |
MIN | 3 | Brewer, Corey | -2.66 | 1.48 | 1.14 | 1.48 | -1.53 | 1.97 | 1802 |
LAL | 3 | Ariza, Trevor | -1.55 | 1.48 | 1.13 | 1.47 | -0.42 | 1.97 | 546 |
DET | 5 | Brown, Kwame | -4.38 | 1.31 | 1.11 | 1.31 | -3.26 | 1.74 | 713 |
DAL | 1 | Barea, Jose | 0.44 | 2.26 | 1.06 | 2.27 | 1.50 | 3.01 | 460 |
IND | 2 | Jones, Eddie | 0.03 | 1.07 | 1.03 | 1.07 | 1.06 | 1.42 | 922 |
UTA | 3 | Korver, Kyle | 0.80 | 1.01 | 0.94 | 1.01 | 1.74 | 1.34 | 1733 |
CLE | 2 | West, Delonte | -2.40 | 1.07 | 0.88 | 1.07 | -1.52 | 1.43 | 1534 |
IND | 3 | Daniels, Marquis | -1.49 | 1.10 | 0.85 | 1.10 | -0.64 | 1.46 | 1546 |
NYK | 2 | Richardson, Quentin | -2.46 | 1.07 | 0.83 | 1.07 | -1.63 | 1.42 | 1841 |
NY | 3 | Jeffries, Jared | 0.47 | 1.12 | 0.81 | 1.12 | 1.28 | 1.49 | 1325 |
MEM | 2 | Ross, Quinton | -3.47 | 1.20 | 0.79 | 1.20 | -2.69 | 1.60 | 1505 |
UTA | 4 | Millsap, Paul | 0.03 | 1.44 | 0.75 | 1.43 | 0.77 | 1.91 | 1702 |
GSW | 4 | Wright, Brandan | -3.35 | 2.55 | 0.70 | 2.54 | -2.66 | 3.39 | 376 |
OKC | 3 | Gelabale, Mickael | -0.39 | 1.91 | 0.64 | 1.91 | 0.26 | 2.55 | 465 |
ORL | 5 | Foyle, Adonal | -7.68 | 1.55 | 0.62 | 1.55 | -7.05 | 2.07 | 774 |
BOS | 1 | Cassell, Sam | 1.02 | 1.09 | 0.61 | 1.09 | 1.62 | 1.45 | 1273 |
HOU | 2 | Head, Luther | -0.37 | 1.24 | 0.60 | 1.24 | 0.23 | 1.65 | 1379 |
1 | Pargo, Jannero | -1.05 | 1.26 | 0.54 | 1.26 | -0.51 | 1.67 | 1497 | |
SAC | 5 | Hawes, Spencer | 1.32 | 1.88 | 0.51 | 1.87 | 1.84 | 2.50 | 931 |
MEM | 3 | Walker, Antoine | -2.53 | 1.05 | 0.47 | 1.05 | -2.06 | 1.40 | 892 |
NO | 3 | Posey, James | -2.66 | 0.95 | 0.47 | 0.95 | -2.19 | 1.26 | 1821 |
2 | Hardaway, Anfernee | -4.03 | 1.86 | 0.42 | 1.87 | -3.61 | 2.48 | 325 | |
CLE | 2 | Szczerbiak, Wally | -0.27 | 0.96 | 0.39 | 0.97 | 0.12 | 1.28 | 1736 |
MIA | 3 | Wright, Dorell | -2.89 | 1.44 | 0.39 | 1.43 | -2.50 | 1.91 | 1104 |
NJ | 2 | Simmons, Bobby | -1.43 | 1.19 | 0.36 | 1.19 | -1.07 | 1.58 | 1521 |
OKC | 2 | Mason, Desmond | -1.45 | 1.11 | 0.36 | 1.11 | -1.09 | 1.47 | 1702 |
LAL | 5 | Bynum, Andrew | 1.00 | 1.47 | 0.29 | 1.47 | 1.29 | 1.96 | 1008 |
NJ | 4 | Swift, Stromile | -4.29 | 1.27 | 0.28 | 1.28 | -4.01 | 1.70 | 845 |
BOS | 4 | Powe, Leon | -0.03 | 1.46 | 0.27 | 1.46 | 0.24 | 1.95 | 809 |
GSW | 4 | Turiaf, Ronny | -2.93 | 1.30 | 0.22 | 1.30 | -2.71 | 1.73 | 1458 |
TOR | 2 | Delfino, Carlos | -0.92 | 1.20 | 0.11 | 1.19 | -0.82 | 1.59 | 1928 |
DAL | 2 | Green, Gerald | -3.74 | 1.83 | 0.11 | 1.83 | -3.63 | 2.43 | 361 |
MIN | 1 | Ollie, Kevin | -0.97 | 1.73 | 0.04 | 1.73 | -0.93 | 2.31 | 300 |
MIA | 4 | Haslem, Udonis | -3.78 | 1.25 | 0.04 | 1.25 | -3.74 | 1.67 | 1806 |
NYK | 4 | Rose, Malik | -2.89 | 1.51 | 0.03 | 1.51 | -2.86 | 2.01 | 494 |
NO | 3 | Wells, Bonzi | -2.61 | 1.05 | -0.08 | 1.05 | -2.69 | 1.39 | 1561 |
TOR | 3 | Kapono, Jason | 0.63 | 1.17 | -0.09 | 1.17 | 0.54 | 1.56 | 1530 |
PHI | 1 | Williams, Louis | -1.65 | 1.45 | -0.09 | 1.45 | -1.74 | 1.92 | 1862 |
LAC | 1 | Hart, Jason | -5.12 | 1.50 | -0.16 | 1.50 | -5.28 | 2.00 | 606 |
IND | 1 | Tinsley, Jamaal | 1.68 | 1.41 | -0.17 | 1.41 | 1.51 | 1.88 | 1293 |
MEM | 2 | Crittenton, Javaris | -0.91 | 1.97 | -0.18 | 1.97 | -1.09 | 2.62 | 678 |
SA | 4 | Bonner, Matt | -0.66 | 1.38 | -0.24 | 1.38 | -0.91 | 1.84 | 852 |
MIL | 4 | Croshere, Austin | -1.47 | 1.46 | -0.28 | 1.46 | -1.75 | 1.94 | 457 |
OKC | 4 | Smith, Joe | -0.78 | 0.96 | -0.29 | 0.96 | -1.06 | 1.28 | 1726 |
DAL | 4 | Williams, Shawne | -1.06 | 1.56 | -0.33 | 1.56 | -1.40 | 2.07 | 967 |
LAL | 5 | Mbenga, DJ | -1.74 | 2.28 | -0.34 | 2.27 | -2.08 | 3.03 | 326 |
GSW | 1 | Dickau, Dan | 3.57 | 1.49 | -0.38 | 1.49 | 3.19 | 1.98 | 1040 |
NJ | 1 | Armstrong, Darrell | -0.89 | 1.39 | -0.41 | 1.39 | -1.31 | 1.85 | 548 |
DET | 1 | Stuckey, Rodney | -2.23 | 1.56 | -0.42 | 1.56 | -2.65 | 2.08 | 1081 |
ORL | 1 | Johnson, Anthony | -2.83 | 1.15 | -0.43 | 1.14 | -3.26 | 1.52 | 1536 |
MIN | 2 | Snyder, Kirk | 1.18 | 1.57 | -0.49 | 1.57 | 0.69 | 2.10 | 761 |
LAL | 3 | Radmanovic, Vladimir | 4.49 | 1.00 | -0.57 | 1.00 | 3.93 | 1.33 | 1483 |
NJ | 5 | Boone, Josh | -3.13 | 1.42 | -0.59 | 1.43 | -3.73 | 1.90 | 1773 |
BOS | 1 | House, Eddie | -1.79 | 1.23 | -0.61 | 1.23 | -2.40 | 1.63 | 1480 |
LAL | 3 | Walton, Luke | 0.57 | 1.06 | -0.65 | 1.06 | -0.08 | 1.41 | 1729 |
SAC | 4 | Thomas, Kenny | -5.90 | 1.34 | -0.67 | 1.34 | -6.57 | 1.79 | 281 |
LAC | 4 | Skinner, Brian | -4.72 | 1.27 | -0.74 | 1.26 | -5.46 | 1.69 | 844 |
GSW | 2 | Watson, C.J. | 0.45 | 2.61 | -0.79 | 2.61 | -0.33 | 3.47 | 368 |
BOS | 4 | Davis, Glen | -2.84 | 1.62 | -0.87 | 1.61 | -3.71 | 2.15 | 940 |
DEN | 1 | Parker, William (Smush) | -3.35 | 1.44 | -0.90 | 1.44 | -4.25 | 1.92 | 592 |
WAS | 1 | Dixon, Juan | 0.25 | 1.25 | -0.91 | 1.25 | -0.67 | 1.66 | 668 |
DEN | 3 | Patterson, Ruben | 2.25 | 1.32 | -0.93 | 1.32 | 1.31 | 1.76 | 327 |
MIL | 4 | Allen, Malik | -0.91 | 1.29 | -0.93 | 1.29 | -1.84 | 1.72 | 1096 |
MIA | 3 | Jones, James | 3.31 | 1.23 | -0.94 | 1.23 | 2.37 | 1.63 | 1276 |
ORL | 1 | Nelson, Jameer | -2.80 | 1.41 | -0.94 | 1.41 | -3.74 | 1.88 | 1961 |
WAS | 5 | Blatche, Andray | -4.23 | 1.41 | -0.96 | 1.41 | -5.19 | 1.88 | 1675 |
SA | 1 | Mason, Roger | 1.97 | 1.50 | -0.97 | 1.51 | 1.00 | 2.00 | 1707 |
ATL | 3 | Evans, Maurice | 0.63 | 1.06 | -0.97 | 1.05 | -0.34 | 1.40 | 1721 |
NO | 1 | James, Mike | -0.26 | 1.14 | -0.99 | 1.14 | -1.24 | 1.52 | 720 |
SAC | 2 | Douby, Quincy | -5.33 | 1.79 | -1.00 | 1.79 | -6.33 | 2.38 | 876 |
NO | 2 | Peterson, Morris | -0.73 | 1.10 | -1.02 | 1.10 | -1.75 | 1.47 | 1796 |
ORL | 4 | Cook, Brian | -1.40 | 1.42 | -1.02 | 1.42 | -2.42 | 1.88 | 629 |
PHI | 2 | Green, Willie | -2.53 | 1.27 | -1.10 | 1.27 | -3.63 | 1.70 | 1970 |
WAS | 1 | Arenas, Gilbert | 0.18 | 1.29 | -1.19 | 1.29 | -1.02 | 1.71 | 425 |
MIN | 1 | Telfair, Sebastian | -3.45 | 1.26 | -1.20 | 1.26 | -4.64 | 1.67 | 1933 |
NJ | 5 | Williams, Sean | -4.34 | 1.54 | -1.20 | 1.54 | -5.53 | 2.05 | 1278 |
ORL | 2 | Pietrus, Mickael | -1.41 | 1.14 | -1.27 | 1.14 | -2.68 | 1.51 | 1316 |
MIL | 2 | Bell, Charlie | -0.86 | 1.27 | -1.29 | 1.27 | -2.14 | 1.69 | 1628 |
MIN | 2 | Carney, Rodney | 0.33 | 1.50 | -1.30 | 1.50 | -0.96 | 2.00 | 1038 |
TOR | 3 | Graham, Joey | 1.27 | 1.75 | -1.31 | 1.75 | -0.05 | 2.33 | 331 |
TOR | 5 | Bargnani, Andrea | -2.04 | 1.28 | -1.33 | 1.28 | -3.37 | 1.71 | 1861 |
DAL | 4 | Bass, Brandon | -6.78 | 1.38 | -1.34 | 1.38 | -8.12 | 1.84 | 1556 |
DET | 3 | Herrmann, Walter | -3.90 | 2.03 | -1.38 | 2.03 | -5.28 | 2.70 | 373 |
POR | 5 | LaFrentz, Raef | 0.54 | 1.68 | -1.41 | 1.68 | -0.88 | 2.23 | 291 |
GSW | 2 | Azubuike, Kelenna | -1.59 | 1.25 | -1.46 | 1.25 | -3.04 | 1.66 | 1732 |
PHI | 5 | Smith, Jason | -1.20 | 1.67 | -1.56 | 1.67 | -2.76 | 2.22 | 1106 |
CHI | 5 | Gray, Aaron | 0.64 | 2.06 | -1.61 | 2.06 | -0.97 | 2.75 | 613 |
SA | 1 | Vaughn, Jacque | -5.91 | 1.30 | -1.62 | 1.29 | -7.53 | 1.73 | 1139 |
NYK | 3 | Chandler, Wilson | -3.48 | 1.93 | -1.76 | 1.93 | -5.25 | 2.57 | 685 |
NYK | 2 | Collins, Mardy | -5.05 | 1.85 | -1.78 | 1.85 | -6.83 | 2.46 | 634 |
NYK | 2 | Jones, Fred | -1.82 | 1.05 | -1.81 | 1.05 | -3.62 | 1.40 | 1756 |
MIN | 5 | Richard, Chris | 0.06 | 2.29 | -1.82 | 2.29 | -1.76 | 3.04 | 556 |
CHA | 4 | Davidson, Jermareo | -7.18 | 2.77 | -1.86 | 2.77 | -9.04 | 3.69 | 322 |
NYK | 1 | Robinson, Nate | 2.64 | 1.26 | -1.91 | 1.26 | 0.72 | 1.67 | 1883 |
UTA | 2 | Miles, C.J. | 2.06 | 1.80 | -1.99 | 1.79 | 0.07 | 2.39 | 689 |
MIA | 2 | Wade, Dwyane | 7.47 | 1.14 | -2.06 | 1.15 | 5.41 | 1.52 | 1954 |
NJ | 3 | Nachbar, Bostjan | -4.31 | 1.17 | -2.10 | 1.17 | -6.41 | 1.55 | 1659 |
MIA | 2 | Cook, Daequan | -3.73 | 1.57 | -2.15 | 1.57 | -5.88 | 2.09 | 1441 |
IND | 1 | Ford, T.J. | -0.23 | 1.43 | -2.18 | 1.42 | -2.41 | 1.90 | 1199 |
MIN | 2 | Foye, Randy | -1.72 | 1.46 | -2.20 | 1.46 | -3.92 | 1.95 | 1259 |
ATL | 1 | Law, Acie | -5.12 | 1.74 | -2.21 | 1.74 | -7.33 | 2.32 | 865 |
PHI | 2 | Rush, Kareem | -0.80 | 1.18 | -2.22 | 1.18 | -3.03 | 1.58 | 1504 |
NO | 3 | Wright, Julian | 2.01 | 1.85 | -2.29 | 1.85 | -0.28 | 2.46 | 640 |
CHA | 5 | Hollins, Ryan | -1.91 | 2.14 | -2.37 | 2.14 | -4.27 | 2.85 | 532 |
PHI | 4 | Brand, Elton | 4.22 | 1.24 | -2.39 | 1.24 | 1.83 | 1.66 | 274 |
DEN | 3 | Kleiza, Linas | 1.41 | 1.20 | -2.47 | 1.20 | -1.05 | 1.59 | 1889 |
HOU | 2 | Barry, Brent | 2.11 | 1.12 | -2.53 | 1.12 | -0.41 | 1.49 | 554 |
CHA | 5 | Mohammed, Nazr | -4.77 | 1.06 | -2.57 | 1.06 | -7.34 | 1.41 | 1650 |
MIN | 4 | Smith, Craig | -0.83 | 1.42 | -2.62 | 1.42 | -3.45 | 1.89 | 1546 |
MIL | 1 | Jones, Damon | 2.56 | 1.08 | -2.67 | 1.08 | -0.11 | 1.44 | 1336 |
MEM | 3 | Buckner, Greg | -1.35 | 1.36 | -2.73 | 1.36 | -4.07 | 1.81 | 519 |
MIA | 1 | Quinn, Chris | 5.12 | 1.69 | -2.75 | 1.69 | 2.38 | 2.25 | 1340 |
NJ | 3 | Hayes, Jarvis | -2.72 | 1.22 | -2.76 | 1.22 | -5.49 | 1.62 | 1287 |
LAC | 4 | Williams, Aaron | -6.92 | 1.80 | -2.77 | 1.80 | -9.69 | 2.40 | 331 |
ATL | 1 | Bibby, Mike | 2.69 | 1.08 | -2.78 | 1.08 | -0.09 | 1.44 | 1574 |
NO | 5 | Armstrong, Hilton | -4.35 | 1.85 | -2.79 | 1.84 | -7.14 | 2.46 | 732 |
WAS | 2 | Young, Nick | -4.24 | 1.81 | -2.81 | 1.82 | -7.05 | 2.41 | 1158 |
HOU | 2 | Strawberry, D. J. | -4.84 | 2.89 | -2.89 | 2.87 | -7.73 | 3.85 | 270 |
MIL | 1 | Ridnour, Luke | 0.58 | 1.26 | -2.90 | 1.26 | -2.32 | 1.68 | 1219 |
PHI | 4 | Marshall, Donyell | -0.77 | 1.32 | -2.95 | 1.32 | -3.72 | 1.75 | 340 |
DAL | 2 | Stackhouse, Jerry | -1.29 | 1.10 | -3.01 | 1.10 | -4.31 | 1.47 | 1412 |
WAS | 4 | McGuire, Dominic | -9.06 | 2.16 | -3.01 | 2.14 | -12.07 | 2.87 | 695 |
IND | 1 | Diener, Travis | 0.45 | 1.55 | -3.03 | 1.55 | -2.58 | 2.06 | 1356 |
LAL | 5 | Mihm, Chris | -4.41 | 1.68 | -3.06 | 1.68 | -7.47 | 2.24 | 278 |
DEN | 1 | Carter, Anthony | -2.34 | 1.24 | -3.16 | 1.24 | -5.50 | 1.65 | 1960 |
NO | 2 | Brown, Devin | -3.14 | 1.06 | -3.34 | 1.06 | -6.48 | 1.42 | 1762 |
1 | Stoudamire, Damon | -2.61 | 1.24 | -3.35 | 1.24 | -5.97 | 1.65 | 1037 | |
ATL | 2 | Murray, Ronald (Flip) | -1.39 | 1.19 | -3.41 | 1.19 | -4.80 | 1.58 | 873 |
LAL | 3 | Newble, Ira | -6.60 | 1.49 | -3.49 | 1.48 | -10.08 | 1.98 | 698 |
ORL | 5 | Jones, Dwayne | -2.99 | 2.26 | -3.52 | 2.26 | -6.51 | 3.01 | 473 |
POR | 4 | Diogu, Ike | -5.31 | 1.99 | -3.58 | 2.00 | -8.89 | 2.65 | 305 |
NYK | 5 | Curry, Eddy | -5.80 | 1.18 | -3.58 | 1.18 | -9.37 | 1.57 | 1530 |
DEN | 4 | Howard, Juwan | -2.84 | 1.35 | -3.62 | 1.35 | -6.46 | 1.80 | 346 |
PHI | 2 | Ivey, Royal | -2.15 | 1.37 | -3.65 | 1.36 | -5.80 | 1.82 | 1437 |
DEN | 1 | Atkins, Chucky | -0.40 | 1.29 | -3.73 | 1.29 | -4.13 | 1.72 | 352 |
NJ | 2 | Hassell, Trenton | -2.93 | 1.22 | -3.76 | 1.21 | -6.69 | 1.62 | 773 |
POR | 1 | Rodriguez, Sergio | -7.72 | 2.04 | -3.80 | 2.04 | -11.52 | 2.72 | 628 |
DEN | 2 | Smith, J.R. | 1.98 | 1.18 | -3.82 | 1.19 | -1.83 | 1.58 | 1421 |
MIA | 5 | Anthony, Joel | -0.91 | 2.71 | -3.86 | 2.71 | -4.77 | 3.61 | 498 |
MIA | 1 | Banks, Marcus | -2.20 | 1.48 | -3.90 | 1.47 | -6.11 | 1.96 | 569 |
MEM | 4 | Warrick, Hakim | -6.03 | 1.28 | -3.90 | 1.28 | -9.93 | 1.70 | 1754 |
PHO | 3 | Barnes, Matt | 0.75 | 1.14 | -4.08 | 1.14 | -3.33 | 1.51 | 1414 |
UTA | 3 | Harpring, Matt | 0.44 | 1.23 | -4.13 | 1.23 | -3.70 | 1.64 | 1374 |
NYK | 1 | Marbury, Stephon | 2.62 | 1.20 | -4.14 | 1.20 | -1.52 | 1.60 | 805 |
1 | McInnis, Jeff | -1.32 | 1.16 | -4.20 | 1.16 | -5.53 | 1.55 | 1410 | |
MIA | 5 | Johnson, Alexander | 0.33 | 1.94 | -4.31 | 1.94 | -3.98 | 2.58 | 549 |
NJ | 2 | Storey, Awvee | -2.82 | 3.04 | -4.45 | 3.03 | -7.27 | 4.05 | 258 |
LAC | 1 | Williams, Jason | -0.32 | 1.12 | -4.52 | 1.12 | -4.84 | 1.49 | 1886 |
MIL | 4 | Villanueva, Charlie | -1.22 | 1.30 | -4.55 | 1.30 | -5.78 | 1.73 | 1829 |
ORL | 1 | Arroyo, Carlos | -1.28 | 1.28 | -4.63 | 1.28 | -5.91 | 1.70 | 1269 |
LAL | 2 | Vujacic, Sasha | 5.92 | 1.22 | -4.79 | 1.22 | 1.13 | 1.62 | 1279 |
2 | Stoudamire, Salim | -1.73 | 1.76 | -4.80 | 1.77 | -6.53 | 2.35 | 401 | |
OKC | 2 | Wilkins, Damien | -3.15 | 1.18 | -4.97 | 1.18 | -8.13 | 1.57 | 1843 |
MIL | 1 | Lue, Tyronn | -0.19 | 1.29 | -4.98 | 1.29 | -5.17 | 1.72 | 736 |
CHA | 1 | Boykins, Earl | 0.30 | 1.26 | -5.20 | 1.26 | -4.90 | 1.68 | 577 |
MIL | 1 | Sessions, Ramon | 2.51 | 2.52 | -5.62 | 2.53 | -3.12 | 3.36 | 450 |
TOR | 5 | Brezec, Primoz | -1.34 | 1.51 | -5.81 | 1.51 | -7.15 | 2.01 | 475 |
HOU | 1 | Brooks, Aaron | -1.34 | 2.21 | -6.18 | 2.22 | -7.53 | 2.94 | 608 |
MEM | 1 | Conley, Mike | 3.64 | 1.83 | -6.19 | 1.83 | -2.55 | 2.44 | 1381 |
GSW | 1 | Williams, Marcus | 2.35 | 1.63 | -6.37 | 1.63 | -4.02 | 2.17 | 854 |
LAL | 4 | Powell, Josh | -4.12 | 1.53 | -6.54 | 1.53 | -10.66 | 2.03 | 1227 |
WAS | 5 | Pecherov, Oleksiy | -0.62 | 2.91 | -6.71 | 2.93 | -7.33 | 3.88 | 320 |
ORL | 2 | Redick, J.J. | 2.71 | 2.35 | -8.54 | 2.36 | -5.83 | 3.13 | 276 |
CHA | 4 | Brown, Andre | -2.38 | 2.67 | -8.66 | 2.68 | -11.04 | 3.55 | 286 |
LAC | 3 | Novak, Steve | -1.95 | 2.75 | -10.18 | 2.76 | -12.13 | 3.67 | 264 |
Noise Reduction
As noted above, adjusted plus-minus ratings – as mathematical estimates – tend to be noisy. For example, Ilardi’s 2006-2007 ratings had a typical standard error of about 3.0, which implies a margin of error for each player estimate (at a 95% confidence level) of roughly +/- 5.9 points [3]. Obviously, the presence of so much noise greatly limits the usefulness of the metric. To take a telling example: Chris Paul had a 2006-2007 rating of + 4.1 pts (per 40 minutes), with a margin of error of roughly +/- 5.9; so, we can only say with 95% confidence that his performance was somewhere between that of a sub-mediocre player (-1.8) and one of the top players in the league (+10.0)!
But where does the noise come from, and how can it be eliminated? Mostly, it results from the fact that teams tend to put the same players on the court together at the same time. That is, many players’ minutes are strongly inter-correlated, so the underlying adjusted plus-minus model has a hard time disentangling individual player effects at a high level of accuracy. In addition, the number of unique observations (i.e., lineups) of a given player in a single season is surprisingly small [4], typically under 1,000.
However, there exists a straightforward solution to both of these problems: use multiple seasons’ worth of data. How many seasons of data are needed? As many as possible. With only one season, the standard errors are very high – typically around 5.0 points per 100 possessions (with corresponding margins of error of roughly +/- 10.0 points). Such ratings, of course, are highly suspect. With two seasons of data, the noise level drops by about 40%, but it’s still uncomfortably high. The picture, however, gets appreciably clearer with each additional season that’s added to the model.
In this article, we present adjusted plus-minus ratings that utilize five seasons’ worth of data – ratings with an unprecedented lack of noise. As you’ll see, the average standard errors have now dropped down to about 1.1 points per 100 possessions [5], 80% lower than the errors based on only one season. This makes them dramatically more useful.
Of course, many readers will want to know how a given player performed last year (2007-2008), not how he performed on average over the past five seasons. Fortunately, the inputs to the adjusted plus-minus model can be weighted to emphasize data from the most recent season. This approach increases the noise level slightly in comparison with an equal weighting of all seasons, but it still reduces it substantially. Accordingly, the ratings herein can be regarded as estimates of 2007-2008 player performance, with data from the previous four seasons included in the model at fractional weightings [6] for the purpose of reducing estimation errors.
Separating Offense from Defense
We’ve also taken another important step toward enhancing the usefulness of the adjusted plus-minus metric by including a separate analysis of each player’s performance on the offensive and defensive sides of the ball. To do so, we’ve constructed a separate variable to model each player’s possessions on offense (Xi) and defense (Di), respectively. Thus, for each unique 10-player lineup that appears in each game, two separate lines of data are generated for use in the ensuing regression model: one line reflects scoring efficiency (points per 100 possessions) during those possessions when the home team is on offense and the away team on defense, and one represents the converse scenario (i.e., possessions in which the away team is on offense and the home team on defense). The model can be rendered as follows:
EFFICIENCY = b0 + b1X1 + b2X2 + . . . + bKXK + bK+1D1 + bK+2D2 + . . . + bK+KXK + homeflag + e, where
EFFICIENCY = 100 * (points per possession of home team [or away team])
X1 = 1 for possessions when player 1 is on offense, = 0 if player 1 is not playing (or playing on defense)
homeflag = 1 for possessions when home team is on offense, = 0 when away team is on offense
b0 (a constant) measures the average efficiency of all lineups |
It’s important to note at this juncture that Eli Witus, in an important article at his Count the Basket blog, has used a somewhat different, two-step estimation technique to derive a set of offensive and defensive adjusted plus-minus estimates for the 2007-2008 season. However, the offensive and defensive ratings presented herein have the virtue of possessing much lower standard errors. This is attributable to two factors: (a) we’ve used five seasons’ worth of data, whereas Eli used just one; and (b) we have incorporated player offensive and defensive effects directly into our model, rather than utilizing a two-step (indirect) procedure to derive them from a net (offense + defense) estimate.
Observations
In reflecting on these ratings, we have hit upon a number of potentially provocative observations, among them (in no particular order):
Nevertheless, there are several ways in which the value of adjusted plus-minus analyses may be enhanced even further in the future:
Dan Rosenbaum has also demonstrated the possibility of reducing standard errors further by augmenting (blending) adjusted plus-minus estimates with regression-based estimates derived from other statistics (statistical plus-minus). Although this approach runs the risk of introducing some bias into the ensuing estimates, we believe this risk can be reduced by extending the approach to encompass: (a) the use of non-boxscore-based metrics, such as the many innovative stats available on 82games.com (e.g., defensive eFG% allowed), and (b) separate statistical plus-minus estimates for the metric’s offensive and defensive components.
[2] The process was independently developed by at least three different sources – Dan Rosenbaum, Sagarin and Winston (for the Dallas Mavericks), and Ilardi (for the Kansas Jayhawks) – and fully described in a seminal article by Rosenbaum.
[3] It’s standard in statistics to derive the margin of error by constructing a 95% confidence interval around each estimate – i.e., a range within which we can be 95% confident the true value of the variable actually falls. The standard error of each player’s estimate can be used to construct this interval, since the actual value of each player’s rating will fall in a roughly normal (bell-shaped) curve around the estimate, with a distribution defined in part by the magnitude of this standard error (se). Simply put: we can be 95% confident that the true value falls in a range defined by +/- 1.96(se). Since the typical standard error in the 2006-07 analyses was roughly 3.0, the margin of error equals +/- (1.96)(3.0).
[4] The basic unit of observation for the model is the lineup – a set of 10 players that appear together on the court for a given number of possessions, until some further change in lineup (for either team) occurs.
[5] For the separate offensive and defensive ratings of high-minutes players; the standard errors are a bit higher for total (net) ratings.
[6] Specifically, the 2007-2008 season was weighted at 1.0, the 2006-2007 at 0.2, and the 2003-2006 seasons at 0.125. For all five seasons, playoffs were accorded double the weighting of the regular season – a means of accounting for the heightened importance of the NBA’s “second season.”
[7] The standard error of the total score can be estimated using the variance sum law. It’s approximately equal to the square root of the following quantity: (seoffense)2 + (sedefense)2 – 2(.107) (seoffense) (sedefense)
[8] That is, 7.07 – (1.96)(1.82)
Steve Ilardi is a professor of clinical psychology at the University of Kansas, and former statistical consultant to the KU men’s basketball team under Roy Williams. With the support of assistant coaches Jerod Haase and Ben Miller, Ilardi developed and implemented an adjusted plus-minus model of player evaluation at KU, one similar to the models independently developed by Dan Rosenbaum and Jeff Sagarin. In his ‘day job’, Ilardi is a clinical researcher who has worked to develop a novel, lifestyle-based treatment for depressive illness.
- For more on his treatment of depression, see www.psych.ku.edu/TLC
- For his KU staff page see http://www.psych.ku.edu/psych_people/faculty_Stephen_Ilardi.shtml.
Aaron Barzilai “played” on the varsity basketball team at MIT as an undergraduate before earning his Ph.D. in Mechanical Engineering at Stanford University. He currently works as a consultant for a global consulting firm and has experience in the pharmaceutical, financial services, and online publishing industries. Aaron developed the website basketballvalue.com and would like to spend more time on basketball analytics. He can be contacted via email at
webmaster@basketballvalue.com
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