In the previous post in this series we introduced the idea of regressing WOWY data — game-by-game plus-minus data — to gauge player impact. In other words, if you looked at all of the activity of players moving in and out lineups over the years, whose team changed the most based on a given player’s presence?
Our previous regression was done using a standard Ordinary Least Squares method, which does a decent job estimating value, but not quite as good as “Ridge Regression” for this data. I don’t want to give you a math-ache, but we can improve this method in the same way that RAPM improved upon APM for regressed play-by-play data.
For the ’50s, ’60s and ’70s, the results are often similar to the OLS version, only this new model performs much better on held-out test data (when we leave a random chunk of data out of the regression and ask the model to predict it). Here are the improved 1954-1983 results using ridge:
| Player | WOWYR | GP |
|---|---|---|
| Bird | 7.1 | 355 |
| Robertson..Oscar. | 6.5 | 986 |
| Moore..Otto. | 6.1 | 350 |
| Davis..Walter. | 6.0 | 426 |
| West..Jerry. | 5.7 | 984 |
| Kenon | 5.5 | 426 |
| Moore..Johnny. | 5.4 | 175 |
| Cunningham | 5.2 | 665 |
| Cartwright | 5.2 | 326 |
| McMillian..Jim. | 5.1 | 519 |
| Hill..Armond. | 4.9 | 259 |
| Schayes..Dolph. | 4.7 | 551 |
| Lanier | 4.6 | 751 |
| Thurmond | 4.6 | 562 |
| Russell..Bill. | 4.5 | 1097 |
| Arizin | 4.4 | 635 |
| Abdul.Jabbar | 4.2 | 1041 |
| Cheeks | 4.2 | 535 |
| Dawkins | 4.2 | 343 |
| Walton..Bill. | 4.2 | 178 |
| Frazier | 4.0 | 629 |
| Walk | 3.9 | 361 |
| Reid..Robert. | 3.9 | 333 |
| McMahon | 3.8 | 330 |
| Chamberlain | 3.7 | 1186 |
| Free | 3.7 | 608 |
| Williams..Gus. | 3.6 | 461 |
| Jones..KC. | 3.6 | 428 |
| Toney | 3.6 | 267 |
| Johnson..Marques. | 3.6 | 475 |
| Silas..Paul. | 3.5 | 790 |
| Mix | 3.4 | 424 |
| Taylor..Brian. | 3.4 | 238 |
| Gilmore | 3.4 | 560 |
| Beaty | 3.3 | 545 |
| npArchibald | 3.3 | 181 |
| npHayes..Elvin. | 3.2 | 240 |
| Ray..Cliff. | 3.2 | 682 |
| McGinnis | 3.1 | 504 |
| May..Scott. | 3.1 | 184 |
| Neal..Lloyd. | 3.1 | 217 |
| Porter..Kevin. | 3.0 | 489 |
| Smith..Greg. | 3.0 | 345 |
| Erving | 2.9 | 775 |
| Robisch | 2.9 | 196 |
| Owens..Tom. | 2.9 | 259 |
| DeBusschere | 2.8 | 1026 |
| Weiss | 2.8 | 341 |
| Barry..Rick. | 2.8 | 754 |
| Perry..Curtis. | 2.8 | 416 |
| Dukes | 2.7 | 463 |
| Hayes..Elvin. | 2.7 | 934 |
| Johnson..Dennis. | 2.6 | 528 |
| Counts | 2.6 | 220 |
| Cousy | 2.5 | 852 |
| Jones..Bobby. | 2.5 | 701 |
| Cleamons | 2.4 | 407 |
| Gola | 2.4 | 602 |
| Abdul.Aziz | 2.3 | 256 |
| Hawkins..Connie. | 2.3 | 378 |
| Marin | 2.3 | 617 |
| Corzine | 2.3 | 258 |
| Sloan | 2.2 | 687 |
| McGlocklin | 2.2 | 595 |
| Hazzard | 2.2 | 492 |
| Davis..Johnny. | 2.1 | 345 |
| Pettit | 2.1 | 835 |
| Barnett..Dick. | 2.1 | 933 |
| Jones..Sam. | 2.1 | 744 |
| Vandeweghe | 2.0 | 227 |
| Petrie | 2.0 | 436 |
| Hollins..Lionel. | 2.0 | 550 |
| Washington..Kermit. | 2.0 | 334 |
| Nichols | 2.0 | 193 |
| Yardley | 2.0 | 452 |
| Skoog | 2.0 | 179 |
| Baylor | 2.0 | 934 |
| Murphy..Calvin. | 1.9 | 685 |
| Carr..Kenny. | 1.9 | 216 |
| Howell | 1.9 | 847 |
| Unseld | 1.9 | 945 |
| Knight..Billy. | 1.9 | 448 |
| Chaney | 1.9 | 529 |
| Heinsohn | 1.8 | 818 |
| Shumate | 1.8 | 200 |
| Gale | 1.8 | 331 |
| Paultz | 1.8 | 394 |
| Havlicek | 1.7 | 1264 |
| Boozer..Bob. | 1.7 | 624 |
| Brewer..Jim. | 1.7 | 179 |
| Ford..Chris. | 1.6 | 681 |
| Twyman | 1.6 | 770 |
| Parish | 1.6 | 379 |
| Williams..Ray. | 1.6 | 402 |
| Cowens | 1.5 | 568 |
| Thompson..Mychal. | 1.5 | 254 |
| Smith..Phil. | 1.5 | 497 |
| Jackson..Luke. | 1.5 | 299 |
| Sharman | 1.5 | 585 |
| Bing | 1.4 | 821 |
| Adams..Alvan. | 1.4 | 742 |
| Kojis | 1.4 | 419 |
| Bradley..Bill. | 1.4 | 624 |
| Attles | 1.4 | 492 |
| Moncrief | 1.4 | 250 |
| Smith..Elmore. | 1.4 | 447 |
| Kerr..Red. | 1.4 | 863 |
| Bellamy | 1.4 | 951 |
| Gross | 1.4 | 440 |
| Caldwell..Joe. | 1.4 | 345 |
| Issel | 1.4 | 515 |
| Green..Si. | 1.4 | 268 |
| Dantley | 1.3 | 304 |
| Buckner | 1.3 | 384 |
| Dunn | 1.3 | 175 |
| McCarthy | 1.3 | 221 |
| Roberson..Rick. | 1.3 | 187 |
| Dandridge | 1.3 | 668 |
| Van.Breda.Kolff | 1.2 | 236 |
| Johnson..Gus. | 1.2 | 641 |
| Monroe..Earl. | 1.2 | 710 |
| Johnson..John. | 1.2 | 626 |
| Paxson..Jim. | 1.2 | 247 |
| Mikkelsen | 1.2 | 400 |
| Sears | 1.2 | 472 |
| Edwards..James. | 1.2 | 356 |
| Martin..Slater. | 1.1 | 461 |
| Barnes..Jim. | 1.1 | 211 |
| Haywood..Spencer. | 1.1 | 529 |
| Drew..John. | 1.1 | 533 |
| Wilkes | 1.1 | 675 |
| Newlin | 1.1 | 653 |
| Brown..Fred. | 1.1 | 670 |
| Collins..Doug. | 1.1 | 492 |
| Mullins | 1.1 | 506 |
| Carr..Austin. | 1.1 | 497 |
| Jones..Dwight. | 1.0 | 263 |
| Archibald | 1.0 | 232 |
| Johnston | 1.0 | 364 |
| Jordon | 1.0 | 250 |
| Beard | 1.0 | 249 |
| Hawkins..Tom. | 1.0 | 218 |
| Chones | 1.0 | 590 |
| Sikma | 1.0 | 428 |
| Bridges | 0.9 | 910 |
| Siegfried | 0.9 | 349 |
| Benson | 0.9 | 262 |
| Boerwinkle | 0.9 | 324 |
| Gilliam..Herm. | 0.9 | 292 |
| Stokes..Maurice. | 0.9 | 203 |
| Embry | 0.9 | 590 |
| Washington..Jim. | 0.9 | 571 |
| Hagan | 0.9 | 467 |
| Roundfield | 0.8 | 461 |
| Robinson..Flynn. | 0.8 | 268 |
| White..Jo.Jo. | 0.8 | 673 |
| Smith..Bingo. | 0.8 | 570 |
| Walker..Chet. | 0.8 | 938 |
| Bianchi | 0.8 | 228 |
| Short | 0.8 | 208 |
| Carroll..Joe.Barry. | 0.7 | 237 |
| Bridgeman | 0.7 | 478 |
| Imhoff | 0.7 | 378 |
| Van.Arsdale..Dick. | 0.7 | 837 |
| Winters | 0.6 | 450 |
| Rule | 0.6 | 305 |
| Meriweather | 0.6 | 259 |
| Smith..Randy. | 0.6 | 881 |
| Riordan | 0.6 | 328 |
| Johnson..Eddie. | 0.6 | 387 |
| Hairston | 0.6 | 655 |
| Snyder..Dick. | 0.6 | 641 |
| Thompson..David. | 0.6 | 413 |
| Brooks..Michael. | 0.6 | 246 |
| Van.Lier | 0.6 | 635 |
| Davis..Brad. | 0.6 | 217 |
| Nelson..Don. | 0.5 | 497 |
| Loughery | 0.5 | 672 |
| Harrison..Bob. | 0.5 | 228 |
| Greer | 0.5 | 893 |
| Hetzel | 0.5 | 193 |
| Adams..Don. | 0.5 | 330 |
| King..George. | 0.5 | 224 |
| npCowens | 0.4 | 192 |
| Braun | 0.4 | 489 |
| Gray..Leonard. | 0.4 | 175 |
| Sobers | 0.4 | 477 |
| Heard | 0.4 | 495 |
| King..Bernard. | 0.4 | 349 |
| Guokas | 0.4 | 268 |
| Ramsey | 0.3 | 460 |
| Russell..Cazzie. | 0.3 | 499 |
| Scott..Ray. | 0.3 | 687 |
| Love..Bob. | 0.2 | 584 |
| Van.Arsdale..Tom. | 0.2 | 742 |
| Buse | 0.2 | 431 |
| Erickson | 0.2 | 604 |
| Westphal | 0.2 | 493 |
| Graboski | 0.2 | 435 |
| Rollins | 0.1 | 344 |
| Lovellette | 0.1 | 555 |
| Tyler | 0.1 | 383 |
| Chenier | 0.0 | 558 |
| Clark..Archie. | 0.0 | 579 |
| Grevey | 0.0 | 274 |
| Steele | 0.0 | 226 |
| Nixon | 0.0 | 369 |
| Trevsant | -0.1 | 251 |
| Price..Jim. | -0.1 | 217 |
| Hudson..Lou. | -0.2 | 745 |
| Allen..Lucious. | -0.2 | 430 |
| Reed..Willis. | -0.3 | 762 |
| Gervin | -0.3 | 613 |
| Meschery | -0.3 | 637 |
| Scott..Charlie. | -0.3 | 418 |
| Maravich | -0.3 | 591 |
| Shue | -0.4 | 617 |
| Mitchell..Mike. | -0.4 | 282 |
| Robinson..Truck. | -0.4 | 724 |
| Lacey | -0.4 | 215 |
| Costello | -0.4 | 643 |
| Richardson..Michael. | -0.4 | 278 |
| Wilkens | -0.4 | 1002 |
| Lee..Clyde. | -0.4 | 400 |
| Foust | -0.4 | 394 |
| Henderson..Tom. | -0.4 | 402 |
| Coleman..Jack. | -0.4 | 267 |
| Webster..Marvin. | -0.5 | 226 |
| Kelley..Rich. | -0.5 | 216 |
| Bantom | -0.5 | 465 |
| Malone..Moses. | -0.5 | 458 |
| McGuire..Dick. | -0.6 | 287 |
| Silas..James. | -0.6 | 255 |
| Jones..Wali. | -0.6 | 480 |
| Garmaker | -0.6 | 379 |
| Natt | -0.6 | 316 |
| Stallworth | -0.7 | 188 |
| Guerin | -0.7 | 812 |
| English | -0.8 | 353 |
| Parker..Sonny. | -0.8 | 241 |
| Dierking | -0.8 | 293 |
| Block | -0.9 | 265 |
| Lucas..John. | -0.9 | 376 |
| Holland | -0.9 | 246 |
| Charles..Ken. | -0.9 | 193 |
| Komives | -0.9 | 535 |
| Dischinger | -0.9 | 351 |
| Smith..Adrian. | -0.9 | 318 |
| Williamson..John. | -1.0 | 278 |
| Maxwell..Cedric. | -1.0 | 453 |
| Poquette | -1.0 | 238 |
| Gallatin | -1.0 | 299 |
| Goodrich | -1.0 | 768 |
| Johnson..Mickey. | -1.1 | 608 |
| Lantz | -1.1 | 317 |
| Share | -1.1 | 405 |
| Leonard..Slick. | -1.2 | 395 |
| Lucas..Mo. | -1.2 | 594 |
| McAdoo | -1.2 | 499 |
| Wilkerson | -1.2 | 373 |
| Davis..Jim. | -1.2 | 178 |
| Rowe | -1.2 | 566 |
| Ellis..Leroy. | -1.2 | 898 |
| George..Jack. | -1.3 | 384 |
| Greenwood | -1.3 | 331 |
| Robinson..Cliff. | -1.3 | 178 |
| Hawes..Steve. | -1.3 | 304 |
| Shelton | -1.3 | 527 |
| Russell..Campy. | -1.4 | 515 |
| Theus | -1.4 | 334 |
| Brewer..Ron. | -1.4 | 330 |
| npGreer | -1.4 | 242 |
| Naulls | -1.4 | 495 |
| Sauldsberry | -1.5 | 279 |
| Davis..Dwight. | -1.6 | 234 |
| Nater | -1.7 | 278 |
| Leavell | -1.7 | 227 |
| Bristow | -1.8 | 322 |
| Macauley | -1.9 | 379 |
| Barnett..Jim. | -1.9 | 465 |
| Adelman | -1.9 | 235 |
| Lucas..Jerry. | -1.9 | 772 |
| Money | -1.9 | 234 |
| Smith..Larry. | -2.0 | 203 |
| Kunnert | -2.0 | 314 |
| Gianelli | -2.1 | 272 |
| Coleman..EC. | -2.1 | 268 |
| Neumann | -2.2 | 213 |
| Strawder | -2.2 | 268 |
| Green..Johnny. | -2.2 | 497 |
| Miles..Eddie. | -2.2 | 521 |
| Laimbeer | -2.2 | 190 |
| Olberding | -2.3 | 328 |
| DiGregorio | -2.3 | 220 |
| Garrett..Dick. | -2.5 | 228 |
| Lloyd..Earl. | -2.6 | 376 |
| Carr..ML. | -2.6 | 217 |
| Ohl | -2.7 | 771 |
| Sanders..Tom. | -2.7 | 831 |
| Bryant..Joe. | -2.7 | 318 |
| Bibby..Henry. | -2.7 | 330 |
| LaRusso | -2.7 | 721 |
| Johnson..George. | -2.7 | 497 |
| Tomjanovich | -2.8 | 687 |
| Gambee | -3.0 | 306 |
| Rodgers..Guy. | -3.0 | 784 |
| Long..John. | -3.4 | 242 |
| Haskins | -3.7 | 324 |
| Fox..Jim. | -3.8 | 368 |
| Watts | -3.9 | 179 |
| Walker..Jimmy. | -4.5 | 380 |
| Carter..Fred. | -4.6 | 453 |
| Wicks | -4.8 | 683 |
| Ballard | -4.9 | 316 |
| Huston | -5.0 | 214 |
| Jones..Caldwell. | -5.6 | 615 |
| Chappell | -5.9 | 200 |
| Bockhorn | -6.0 | 400 |
| Kauffman | -6.8 | 231 |
Full WOWYR results
After 1984, basketball-reference provides minutes played for each player in every game. Instead of constructing “core lineups” based on season-long minutes per game averages, now we can create the lineups by using the actual minutes played in each game. If we combine all the seasons together and run our regression (with a few conditions discussed below) we can finally make a historical comparison across the last 60-plus seasons.
Below are the full WOWYR results of two models, one which carves out prime years for a player and another that does not. The prime model outperforms the career model, but it’s an interesting comparison nonetheless. (Note that this is not a true measurement of a player’s “prime” compared to his career.) The table is filtered for players with at least 400 qualifying games played.
| Player | Prime WOWYR | Prime GP | Career WOWYR | Career GP | Prime Begin | Prime End |
|---|---|---|---|---|---|---|
| Magic.Johnson | 10.1 | 857 | 10.0 | 889 | 1980 | 1991 |
| John.Stockton | 9.8 | 921 | 6.5 | 1548 | 1988 | 1997 |
| David.Robinson | 9.1 | 926 | 6.6 | 1073 | 1990 | 2001 |
| Michael.Jordan | 9.0 | 1102 | 8.2 | 1239 | 1985 | 1998 |
| Steve.Nash | 8.8 | 944 | 6.0 | 1204 | 2001 | 2011 |
| Sidney.Moncrief | 8.6 | 503 | 4.1 | 675 | 1981 | 1986 |
| Dikembe.Mutombo | 8.5 | 897 | 7.1 | 1043 | 1992 | 2002 |
| LeBron.James | 8.5 | 1105 | 7.4 | 1184 | 2005 | 2016 |
| Robertson..Oscar. | 8.4 | 986 | 8.5 | 986 | 1961 | 1972 |
| Yao.Ming | 7.5 | 493 | 8.0 | 493 | 2003 | 2011 |
| West..Jerry. | 7.4 | 984 | 7.3 | 984 | 1961 | 1973 |
| Paul.Pierce | 7.2 | 1181 | 5.7 | 1413 | 2000 | 2013 |
| LaMarcus.Aldridge | 7.1 | 695 | 6.5 | 736 | 2008 | 2016 |
| Dirk.Nowitzki | 7.1 | 1256 | 5.1 | 1437 | 2000 | 2014 |
| Reggie.Lewis | 7.1 | 413 | 4.0 | 418 | 1989 | 1993 |
| Don.Buse | 7.0 | 473 | 6.0 | 431 | 1984 | 1985 |
| Anfernee.Hardaway | 6.8 | 478 | 4.1 | 715 | 1994 | 2000 |
| Gary.Payton | 6.8 | 946 | 4.0 | 1424 | 1993 | 2003 |
| Shaquille.O.Neal | 6.7 | 1124 | 5.2 | 1369 | 1993 | 2006 |
| Marin | 6.5 | 617 | 6.0 | 617 | 0 | 0 |
| DeAndre.Jordan | 6.5 | 479 | 1.6 | 518 | 2011 | 2016 |
| Kobe.Bryant | 6.5 | 1358 | 4.9 | 1489 | 1998 | 2013 |
| Dan.Majerle | 6.5 | 852 | 5.7 | 968 | 1990 | 2000 |
| Russell..Bill. | 6.4 | 1097 | 6.2 | 1097 | 1958 | 1969 |
| Murphy..Calvin. | 6.3 | 685 | 6.9 | 685 | 0 | 0 |
| Clyde.Drexler | 6.3 | 1052 | 5.9 | 1152 | 1985 | 1997 |
| Bruce.Bowen | 6.2 | 724 | 3.6 | 827 | 2001 | 2008 |
| Russell.Westbrook | 6.2 | 496 | 6.3 | 661 | 2011 | 2016 |
| Kareem.Abdul.Jabbar | 6.2 | 1238 | 4.1 | 1588 | 1970 | 1985 |
| Serge.Ibaka | 6.2 | 550 | 8.9 | 550 | 2010 | 2016 |
| Kevin.Garnett | 6.2 | 1360 | 4.4 | 1492 | 1997 | 2013 |
| Greg.Ballard | 6.2 | 566 | 4.8 | 566 | 1984 | 1987 |
| Julius.Erving | 6.1 | 1033 | 2.9 | 1098 | 1972 | 1986 |
| Darryl.Dawkins | 6.1 | 495 | 5.5 | 495 | 1984 | 1987 |
| Barry..Rick. | 6.1 | 754 | 5.2 | 754 | 1966 | 1978 |
| Bill.Laimbeer | 6.1 | 938 | 6.0 | 1078 | 1982 | 1991 |
| Doc.Rivers | 6.0 | 646 | 5.4 | 755 | 1985 | 1994 |
| Chamberlain | 6.0 | 1186 | 6.1 | 1186 | 1960 | 1973 |
| Rasheed.Wallace | 6.0 | 1057 | 5.2 | 1171 | 1997 | 2009 |
| Chris.Ford | 5.9 | 681 | 5.1 | 681 | 0 | 0 |
| Amir.Johnson | 5.9 | 428 | 5.6 | 428 | 2007 | 2016 |
| Jim.Paxson | 5.9 | 532 | 3.1 | 605 | 1981 | 1987 |
| Schayes..Dolph. | 5.9 | 551 | 6.1 | 551 | 1954 | 1961 |
| DeBusschere | 5.9 | 1026 | 5.5 | 1026 | 0 | 0 |
| McGinnis | 5.9 | 504 | 6.8 | 504 | 1976 | 1980 |
| Chris.Paul | 5.8 | 841 | 7.1 | 841 | 2006 | 2016 |
| McMillian..Jim. | 5.8 | 519 | 5.2 | 519 | 0 | 0 |
| Vlade.Divac | 5.8 | 1061 | 5.4 | 1111 | 1991 | 2004 |
| Hakeem.Olajuwon | 5.7 | 1105 | 5.5 | 1328 | 1985 | 1997 |
| Chauncey.Billups | 5.7 | 983 | 4.2 | 1068 | 1999 | 2012 |
| Tim.Duncan | 5.7 | 1363 | 4.7 | 1595 | 1998 | 2013 |
| Arizin | 5.6 | 635 | 5.4 | 635 | 0 | 0 |
| Kevin.Durant | 5.6 | 650 | 1.0 | 728 | 2009 | 2016 |
| Rasho.Nesterovic | 5.6 | 523 | 6.5 | 530 | 2000 | 2009 |
| Deron.Williams | 5.6 | 551 | 2.8 | 830 | 2007 | 2013 |
| Winters | 5.5 | 450 | 4.6 | 450 | 0 | 0 |
| Larry.Johnson | 5.5 | 750 | 5.0 | 750 | 1992 | 2001 |
| Alvan.Adams | 5.5 | 969 | 4.5 | 1009 | 1976 | 1987 |
| Bob.Lanier | 5.4 | 833 | 5.8 | 751 | 1984 | 1984 |
| Otis.Thorpe | 5.3 | 914 | 3.3 | 1151 | 1987 | 1997 |
| T.R..Dunn | 5.3 | 541 | 5.2 | 541 | 1984 | 1991 |
| B.J..Armstrong | 5.3 | 506 | 3.5 | 567 | 1991 | 1997 |
| Dennis.Rodman | 5.3 | 891 | 3.9 | 945 | 1988 | 1998 |
| Peja.Stojakovic | 5.3 | 708 | 4.2 | 826 | 2001 | 2010 |
| npJohn.Stockton | 5.2 | 627 | 0.0 | 0 | 0 | 0 |
| Jeff.Hornacek | 5.2 | 897 | 4.0 | 1137 | 1989 | 1998 |
| Jones..KC. | 5.2 | 428 | 4.8 | 428 | 0 | 0 |
| Larry.Nance | 5.1 | 941 | 5.6 | 969 | 1983 | 1993 |
| Kenon | 5.1 | 426 | 5.2 | 426 | 0 | 0 |
| Paul.Pressey | 5.1 | 496 | 6.0 | 579 | 1985 | 1991 |
| Terry.Cummings | 5.1 | 748 | 3.3 | 956 | 1983 | 1992 |
| Metta.World.Peace | 5.1 | 590 | 1.8 | 963 | 2002 | 2010 |
| Patrick.Ewing | 5.0 | 1079 | 5.6 | 1237 | 1986 | 1999 |
| Thurmond | 5.0 | 562 | 5.1 | 562 | 1965 | 1974 |
| Gus.Williams | 5.0 | 706 | 4.7 | 706 | 1984 | 1987 |
| Charles.Barkley | 4.9 | 1062 | 4.1 | 1167 | 1986 | 1999 |
| Mark.Price | 4.9 | 547 | 2.6 | 689 | 1988 | 1995 |
| Hersey.Hawkins | 4.9 | 922 | 3.2 | 975 | 1989 | 1999 |
| Allen.Leavell | 4.9 | 432 | 3.8 | 432 | 1984 | 1989 |
| Rashard.Lewis | 4.9 | 850 | 5.3 | 962 | 2001 | 2011 |
| Marc.Gasol | 4.8 | 612 | 4.1 | 612 | 2009 | 2016 |
| Ray..Cliff. | 4.7 | 682 | 3.2 | 682 | 0 | 0 |
| Charles.Oakley | 4.6 | 1200 | 3.4 | 1299 | 1987 | 2001 |
| Tony.Parker | 4.6 | 1169 | 3.1 | 1251 | 2003 | 2016 |
| Frazier | 4.6 | 629 | 4.3 | 629 | 1968 | 1976 |
| Isiah.Thomas | 4.6 | 973 | 0.8 | 1026 | 1983 | 1993 |
| Eddie.Jones | 4.5 | 892 | 4.3 | 967 | 1995 | 2006 |
| Cunningham | 4.5 | 665 | 4.5 | 665 | 1966 | 1975 |
| McGlocklin | 4.5 | 595 | 5.1 | 595 | 0 | 0 |
| Elden.Campbell | 4.5 | 619 | 2.6 | 754 | 1994 | 2002 |
| Bryon.Russell | 4.5 | 532 | 3.3 | 626 | 1997 | 2003 |
| Anthony.Parker | 4.4 | 436 | 4.2 | 436 | 2000 | 2012 |
| Tracy.McGrady | 4.4 | 691 | 2.4 | 845 | 2000 | 2009 |
| Theo.Ratliff | 4.4 | 498 | 4.8 | 596 | 1998 | 2006 |
| Cousy | 4.4 | 852 | 3.9 | 852 | 0 | 0 |
| Al.Horford | 4.4 | 631 | 4.2 | 631 | 2008 | 2016 |
| Toni.Kukoc | 4.4 | 646 | 3.4 | 742 | 1994 | 2003 |
| Chris.Bosh | 4.4 | 814 | 4.1 | 966 | 2006 | 2016 |
| Chris.Webber | 4.4 | 735 | 4.2 | 883 | 1995 | 2006 |
| Beaty | 4.3 | 545 | 4.2 | 545 | 0 | 0 |
| Alonzo.Mourning | 4.3 | 658 | 3.6 | 757 | 1993 | 2002 |
| Robert.Parish | 4.3 | 1263 | 2.6 | 1389 | 1979 | 1993 |
| Dennis.Johnson | 4.3 | 1088 | 3.1 | 1155 | 1979 | 1989 |
| Adrian.Dantley | 4.3 | 792 | 3.3 | 833 | 1977 | 1989 |
| Scottie.Pippen | 4.3 | 1129 | 4.0 | 1317 | 1989 | 2001 |
| Zaza.Pachulia | 4.2 | 515 | 3.4 | 515 | 2004 | 2016 |
| Bernard.King | 4.2 | 785 | 4.4 | 797 | 1978 | 1991 |
| Raymond.Felton | 4.2 | 668 | 2.3 | 745 | 2006 | 2014 |
| Antonio.Daniels | 4.2 | 603 | 3.2 | 603 | 1998 | 2009 |
| Dwight.Howard | 4.2 | 744 | 1.5 | 953 | 2006 | 2014 |
| Tony.Allen | 4.2 | 499 | 4.5 | 499 | 2005 | 2016 |
| Artis.Gilmore | 4.2 | 852 | 5.1 | 863 | 1972 | 1987 |
| Shane.Battier | 4.2 | 779 | 4.5 | 965 | 2002 | 2011 |
| Jermaine.O.Neal | 4.1 | 677 | 3.1 | 783 | 2001 | 2010 |
| Derrick.McKey | 4.1 | 762 | 3.4 | 896 | 1989 | 1998 |
| Larry.Bird | 4.1 | 1045 | 5.8 | 1045 | 1980 | 1992 |
| Clifford.Robinson | 4.1 | 1136 | 3.2 | 1312 | 1991 | 2004 |
| Josh.Howard | 4.1 | 441 | 4.9 | 494 | 2005 | 2012 |
| Lindsey.Hunter | 4.0 | 601 | 3.2 | 649 | 1994 | 2004 |
| Nicolas.Batum | 4.0 | 502 | 4.0 | 502 | 2009 | 2016 |
| Detlef.Schrempf | 4.0 | 849 | 5.4 | 1026 | 1989 | 1999 |
| Steve.Smith | 4.0 | 764 | 1.5 | 883 | 1993 | 2002 |
| Mitch.Richmond | 4.0 | 924 | 3.2 | 930 | 1989 | 2001 |
| Kerry.Kittles | 3.9 | 537 | 4.5 | 544 | 1997 | 2004 |
| Danny.Ainge | 3.9 | 793 | 3.5 | 906 | 1985 | 1993 |
| J.R..Smith | 3.9 | 696 | 3.1 | 773 | 2007 | 2016 |
| Andrew.Toney | 3.9 | 470 | 4.4 | 470 | 1984 | 1988 |
| Porter..Kevin. | 3.9 | 489 | 3.6 | 489 | 0 | 0 |
| Klay.Thompson | 3.9 | 425 | 4.6 | 425 | 2012 | 2016 |
| Latrell.Sprewell | 3.9 | 817 | 3.6 | 965 | 1994 | 2004 |
| Karl.Malone | 3.9 | 1426 | 3.1 | 1653 | 1987 | 2002 |
| Pettit | 3.8 | 835 | 3.7 | 835 | 0 | 0 |
| Monta.Ellis | 3.8 | 736 | 3.4 | 753 | 2007 | 2016 |
| Havlicek | 3.8 | 1264 | 3.2 | 1264 | 1963 | 1976 |
| Bill.Cartwright | 3.8 | 849 | 3.4 | 929 | 1980 | 1992 |
| Petrie | 3.8 | 436 | 4.0 | 436 | 0 | 0 |
| Roy.Hibbert | 3.8 | 476 | 3.1 | 540 | 2009 | 2015 |
| Matt.Barnes | 3.8 | 618 | 1.7 | 657 | 2007 | 2016 |
| Smith..Phil. | 3.8 | 497 | 2.7 | 497 | 0 | 0 |
| Alton.Lister | 3.8 | 470 | 4.8 | 470 | 1984 | 1997 |
| Charles.Smith | 3.7 | 526 | 0.9 | 570 | 5977 | 5992 |
| Calvin.Natt | 3.7 | 584 | 3.0 | 584 | 1984 | 1990 |
| Nate.McMillan | 3.7 | 666 | 2.5 | 696 | 1987 | 1996 |
| Zydrunas.Ilgauskas | 3.7 | 705 | 2.6 | 763 | 1998 | 2009 |
| Derek.Fisher | 3.7 | 1037 | 4.1 | 1160 | 1998 | 2011 |
| Trevor.Ariza | 3.7 | 644 | 2.9 | 698 | 2007 | 2016 |
| Andrew.Lang | 3.7 | 422 | 3.5 | 422 | 1989 | 2000 |
| Frank.Brickowski | 3.7 | 434 | 3.8 | 434 | 1985 | 1997 |
| Mike.Gminski | 3.7 | 595 | 2.1 | 607 | 1981 | 1991 |
| Jerome.Kersey | 3.7 | 579 | 2.0 | 850 | 1987 | 1993 |
| Horace.Grant | 3.6 | 988 | 4.0 | 1249 | 1989 | 2000 |
| Ben.Wallace | 3.6 | 722 | 4.4 | 1013 | 2001 | 2008 |
| Billy.Knight | 3.6 | 507 | 2.9 | 448 | 1984 | 1985 |
| James.Worthy | 3.6 | 799 | 2.6 | 916 | 1983 | 1992 |
| Kevin.McHale | 3.6 | 792 | 2.6 | 902 | 1982 | 1991 |
| Walt.Williams | 3.6 | 547 | 4.1 | 547 | 1993 | 2003 |
| James.Posey | 3.6 | 699 | 2.5 | 775 | 2000 | 2009 |
| Howell | 3.6 | 847 | 3.7 | 847 | 0 | 0 |
| Dukes | 3.6 | 463 | 3.4 | 463 | 0 | 0 |
| Mark.Aguirre | 3.5 | 786 | 2.0 | 880 | 1982 | 1991 |
| Vince.Carter | 3.5 | 845 | 2.7 | 1222 | 2000 | 2010 |
| Michael.Adams | 3.5 | 522 | 2.8 | 579 | 1988 | 1994 |
| Ron.Harper | 3.5 | 546 | 3.4 | 996 | 1987 | 1994 |
| Baron.Davis | 3.5 | 696 | 2.8 | 797 | 2001 | 2010 |
| Jack.Sikma | 3.5 | 993 | 3.8 | 1049 | 1979 | 1990 |
| Andre.Iguodala | 3.4 | 892 | 4.1 | 977 | 2006 | 2016 |
| David.West | 3.4 | 772 | 3.0 | 828 | 2006 | 2015 |
| Henderson..Tom. | 3.4 | 402 | 3.6 | 402 | 0 | 0 |
| Greer | 3.4 | 893 | 2.7 | 893 | 0 | 0 |
| Bobby.Jones | 3.4 | 882 | 4.6 | 894 | 3991 | 3994 |
| Fat.Lever | 3.4 | 507 | 0.9 | 658 | 1985 | 1990 |
| Jason.Kidd | 3.4 | 1047 | 2.9 | 1523 | 1996 | 2008 |
| Danny.Manning | 3.4 | 449 | 2.2 | 720 | 1989 | 1995 |
| Steve.Francis | 3.4 | 558 | 1.0 | 564 | 2000 | 2007 |
| Sloan | 3.4 | 687 | 3.7 | 687 | 0 | 0 |
| Newlin | 3.4 | 653 | 3.2 | 653 | 0 | 0 |
| Jones..Sam. | 3.4 | 744 | 3.2 | 744 | 0 | 0 |
| Ray.Williams | 3.4 | 548 | 3.9 | 548 | 1984 | 1987 |
| Sharman | 3.4 | 585 | 3.1 | 585 | 0 | 0 |
| Rolando.Blackman | 3.4 | 907 | 4.5 | 974 | 1983 | 1992 |
| Reggie.Miller | 3.4 | 1190 | 2.9 | 1483 | 1989 | 2002 |
| Jon.Koncak | 3.3 | 454 | 4.1 | 454 | 1986 | 1996 |
| Ricky.Pierce | 3.3 | 636 | 2.0 | 790 | 1986 | 1994 |
| Chaney | 3.3 | 529 | 3.5 | 529 | 0 | 0 |
| Shawn.Kemp | 3.3 | 800 | 5.1 | 901 | 1991 | 2000 |
| Lamar.Odom | 3.2 | 911 | 3.6 | 985 | 2000 | 2011 |
| Stacey.Augmon | 3.2 | 600 | 3.9 | 613 | 1992 | 2004 |
| Elvin.Hayes | 3.2 | 934 | 2.8 | 934 | 1969 | 1982 |
| Tim.Hardaway | 3.2 | 745 | 1.5 | 990 | 4005 | 4017 |
| Baylor | 3.2 | 934 | 3.0 | 934 | 0 | 0 |
| Dale.Davis | 3.2 | 865 | 2.6 | 992 | 1993 | 2003 |
| Ervin.Johnson | 3.2 | 485 | 2.7 | 485 | 1994 | 2005 |
| Free | 3.2 | 608 | 2.8 | 608 | 0 | 0 |
| Kojis | 3.2 | 419 | 3.2 | 419 | 0 | 0 |
| George.Hill | 3.2 | 515 | 4.4 | 544 | 2010 | 2016 |
| Kevin.Johnson | 3.1 | 671 | 2.2 | 774 | 1989 | 1997 |
| Cliff.Levingston | 3.1 | 449 | 4.4 | 449 | 1984 | 1995 |
| Glen.Rice | 3.1 | 794 | 1.8 | 1016 | 4005 | 4014 |
| Chris.Dudley | 3.1 | 426 | 3.2 | 426 | 1988 | 2002 |
| Beno.Udrih | 3.1 | 416 | 2.6 | 416 | 2005 | 2016 |
| Hedo.Turkoglu | 3.1 | 772 | 3.6 | 812 | 2002 | 2012 |
| Perry..Curtis. | 3.1 | 416 | 2.6 | 416 | 0 | 0 |
| Rodney.Rogers | 3.1 | 643 | 2.6 | 681 | 1995 | 2005 |
| Washington..Jim. | 3.1 | 571 | 3.1 | 571 | 0 | 0 |
| Udonis.Haslem | 3.1 | 558 | 3.1 | 679 | 2005 | 2012 |
| Erick.Dampier | 3.1 | 724 | 3.2 | 758 | 1998 | 2010 |
| Sam.Cassell | 3.1 | 768 | 3.5 | 967 | 1996 | 2006 |
| James.Donaldson | 3.1 | 719 | 1.9 | 726 | 1982 | 1992 |
| Smith..Elmore. | 3.1 | 447 | 3.0 | 447 | 0 | 0 |
| Charlie.Ward | 3.0 | 451 | 2.9 | 451 | 1996 | 2005 |
| Tyson.Chandler | 3.0 | 739 | 1.7 | 888 | 2005 | 2015 |
| Mike.Conley | 3.0 | 660 | 2.8 | 660 | 2008 | 2016 |
| Joe.Johnson | 3.0 | 980 | 2.7 | 1198 | 2004 | 2015 |
| Moses.Malone | 3.0 | 1016 | 2.2 | 1165 | 1978 | 1990 |
| Jameer.Nelson | 3.0 | 588 | 2.4 | 698 | 2006 | 2014 |
| Embry | 3.0 | 590 | 2.7 | 590 | 0 | 0 |
| Gola | 3.0 | 602 | 2.9 | 602 | 0 | 0 |
| Reggie.Evans | 3.0 | 440 | 2.9 | 440 | 2003 | 2015 |
| Brent.Barry | 3.0 | 669 | 3.3 | 704 | 1996 | 2007 |
| Armen.Gilliam | 3.0 | 724 | 1.2 | 760 | 1988 | 1998 |
| Manu.Ginobili | 3.0 | 545 | 2.5 | 954 | 2005 | 2011 |
| Rik.Smits | 2.9 | 806 | 3.5 | 806 | 1989 | 2000 |
| Dan.Roundfield | 2.9 | 689 | 3.7 | 689 | 1984 | 1987 |
| Sears | 2.9 | 472 | 2.7 | 472 | 0 | 0 |
| Joakim.Noah | 2.9 | 517 | 2.4 | 536 | 2008 | 2015 |
| Jared.Dudley | 2.9 | 504 | 2.3 | 504 | 2008 | 2016 |
| Bellamy | 2.9 | 951 | 2.7 | 951 | 0 | 0 |
| Mehmet.Okur | 2.9 | 527 | 3.8 | 568 | 2004 | 2012 |
| Mario.Elie | 2.9 | 601 | 3.1 | 644 | 1991 | 2000 |
| P.J..Brown | 2.9 | 947 | 4.3 | 1054 | 1995 | 2006 |
| Shawn.Marion | 2.9 | 1134 | 2.6 | 1208 | 2001 | 2014 |
| Danny.Granger | 2.9 | 441 | 0.9 | 540 | 2007 | 2012 |
| Chenier | 2.9 | 558 | 2.1 | 558 | 0 | 0 |
| Carmelo.Anthony | 2.9 | 793 | 2.7 | 958 | 2006 | 2016 |
| Mike.Bibby | 2.9 | 863 | 3.2 | 1041 | 1999 | 2009 |
| Marcin.Gortat | 2.9 | 469 | 1.3 | 469 | 2008 | 2016 |
| Cuttino.Mobley | 2.9 | 713 | 2.4 | 760 | 2000 | 2009 |
| Haywood..Spencer. | 2.9 | 529 | 2.7 | 529 | 0 | 0 |
| Jeff.Teague | 2.8 | 446 | 2.9 | 446 | 2010 | 2016 |
| Graboski | 2.8 | 435 | 2.8 | 435 | 0 | 0 |
| Luol.Deng | 2.8 | 644 | 4.7 | 865 | 2007 | 2015 |
| Anthony.Mason | 2.8 | 844 | 1.8 | 912 | 1992 | 2002 |
| Terrell.Brandon | 2.8 | 478 | 3.1 | 594 | 1995 | 2002 |
| Johnson..Gus. | 2.8 | 641 | 2.6 | 641 | 0 | 0 |
| Hollins..Lionel. | 2.8 | 550 | 2.1 | 550 | 0 | 0 |
| J.J..Redick | 2.8 | 505 | 4.0 | 505 | 2007 | 2016 |
| Jason.Terry | 2.8 | 1005 | 0.4 | 1240 | 2001 | 2012 |
| Tree.Rollins | 2.7 | 681 | 2.9 | 681 | 1984 | 1995 |
| Barnett..Dick. | 2.7 | 933 | 2.7 | 933 | 0 | 0 |
| Mark.Jackson | 2.7 | 1132 | 2.4 | 1238 | 1988 | 2001 |
| Greg.Ostertag | 2.7 | 412 | 2.0 | 412 | 1996 | 2006 |
| Anderson.Varejao | 2.7 | 480 | 2.3 | 481 | 2005 | 2015 |
| Kerr..Red. | 2.7 | 863 | 2.4 | 863 | 0 | 0 |
| Reggie.Williams | 2.7 | 472 | 2.0 | 553 | 3998 | 4010 |
| Alex.English | 2.7 | 884 | 4.0 | 1005 | 1979 | 1989 |
| Hazzard | 2.7 | 492 | 2.5 | 492 | 0 | 0 |
| npGary.Payton | 2.6 | 478 | 0.0 | 0 | 0 | 0 |
| Kendrick.Perkins | 2.6 | 580 | 3.2 | 621 | 2006 | 2014 |
| Grant.Hill | 2.6 | 554 | 1.8 | 1008 | 1995 | 2005 |
| Paul.Millsap | 2.6 | 638 | 3.7 | 729 | 2009 | 2016 |
| Kenyon.Martin | 2.6 | 703 | 2.7 | 780 | 2001 | 2011 |
| Mikkelsen | 2.6 | 400 | 2.4 | 400 | 0 | 0 |
| Twyman | 2.6 | 770 | 2.3 | 770 | 0 | 0 |
| Boozer..Bob. | 2.6 | 624 | 2.4 | 624 | 0 | 0 |
| Alvin.Robertson | 2.6 | 554 | 1.9 | 727 | 1986 | 1992 |
| Gilbert.Arenas | 2.5 | 486 | 2.7 | 519 | 2003 | 2011 |
| Dennis.Scott | 2.5 | 483 | 2.8 | 536 | 1991 | 1998 |
| Jalen.Rose | 2.5 | 603 | 0.6 | 813 | 1999 | 2006 |
| Collins..Doug. | 2.5 | 492 | 2.4 | 492 | 0 | 0 |
| Michael.Redd | 2.5 | 487 | 2.3 | 557 | 2003 | 2009 |
| J.R..Reid | 2.5 | 432 | 1.9 | 432 | 1990 | 2000 |
| Van.Arsdale..Dick. | 2.5 | 837 | 2.2 | 837 | 0 | 0 |
| Terry.Porter | 2.5 | 704 | 2.4 | 1099 | 1987 | 1994 |
| Bradley..Bill. | 2.5 | 624 | 2.5 | 624 | 0 | 0 |
| Aaron.McKie | 2.5 | 568 | 1.8 | 596 | 1995 | 2004 |
| Brendan.Haywood | 2.5 | 566 | 1.9 | 566 | 2002 | 2013 |
| Hairston | 2.5 | 655 | 2.3 | 655 | 0 | 0 |
| Wayne.Cooper | 2.5 | 434 | 3.2 | 434 | 1984 | 1991 |
| White..Jo.Jo. | 2.5 | 673 | 1.9 | 673 | 0 | 0 |
| Antonio.Davis | 2.4 | 828 | 2.6 | 851 | 1994 | 2005 |
| Darren.Collison | 2.4 | 449 | 0.7 | 449 | 2010 | 2016 |
| Kevin.Willis | 2.4 | 935 | 1.7 | 1119 | 1986 | 1999 |
| Larry.Drew | 2.4 | 505 | 0.2 | 510 | 3999 | 4006 |
| Pau.Gasol | 2.4 | 1155 | 1.9 | 1155 | 2002 | 2016 |
| Silas..Paul. | 2.4 | 790 | 0.8 | 790 | 0 | 0 |
| Meschery | 2.4 | 637 | 1.9 | 637 | 0 | 0 |
| Jamal.Mashburn | 2.4 | 651 | 1.1 | 651 | 1994 | 2004 |
| Al.Harrington | 2.3 | 754 | 2.1 | 834 | 2002 | 2012 |
| Darrell.Walker | 2.3 | 491 | 1.8 | 523 | 1985 | 1992 |
| Elton.Brand | 2.3 | 623 | 1.2 | 961 | 2000 | 2008 |
| Rudy.Gay | 2.3 | 643 | 1.5 | 702 | 2008 | 2016 |
| Truck.Robinson | 2.3 | 799 | 2.8 | 724 | 1984 | 1985 |
| James.Edwards | 2.3 | 782 | 2.3 | 836 | 1978 | 1991 |
| Dan.Issel | 2.3 | 585 | 2.1 | 648 | 1971 | 1984 |
| Yardley | 2.3 | 452 | 2.3 | 452 | 0 | 0 |
| Kyle.Korver | 2.3 | 808 | 1.9 | 820 | 2005 | 2016 |
| Lee..Clyde. | 2.3 | 400 | 2.0 | 400 | 0 | 0 |
| A.C..Green | 2.3 | 989 | 1.5 | 1156 | 1987 | 1998 |
| Andrew.Bogut | 2.3 | 597 | 2.5 | 597 | 2006 | 2016 |
| Quentin.Richardson | 2.3 | 562 | 2.6 | 610 | 2001 | 2010 |
| Brandon.Jennings | 2.2 | 422 | 2.2 | 422 | 2010 | 2016 |
| Mark.West | 2.2 | 525 | 2.0 | 534 | 1985 | 1997 |
| Marvin.Williams | 2.2 | 680 | 2.2 | 744 | 2007 | 2016 |
| Carlos.Boozer | 2.2 | 777 | 0.9 | 895 | 2004 | 2014 |
| Fred.Brown | 2.2 | 694 | 1.3 | 670 | 1984 | 1984 |
| Dwyane.Wade | 2.2 | 848 | 1.8 | 1008 | 2005 | 2015 |
| Love..Bob. | 2.2 | 584 | 2.3 | 584 | 0 | 0 |
| Devin.Harris | 2.2 | 605 | 2.5 | 626 | 2006 | 2016 |
| Robert.Horry | 2.2 | 808 | 1.7 | 954 | 1993 | 2003 |
| Johnny.Davis | 2.2 | 495 | 1.9 | 495 | 1984 | 1986 |
| Morris.Peterson | 2.1 | 517 | 1.5 | 556 | 2001 | 2008 |
| Danny.Ferry | 2.1 | 466 | 2.0 | 466 | 1991 | 2003 |
| npRon.Harper | 2.1 | 450 | 0.0 | 0 | 0 | 0 |
| npAntonio.McDyess | 2.1 | 532 | 0.0 | 0 | 0 | 0 |
| Larry.Smith | 2.1 | 695 | 1.8 | 695 | 1984 | 1993 |
| Raja.Bell | 2.1 | 576 | 1.5 | 591 | 2003 | 2012 |
| Kevin.Duckworth | 2.1 | 544 | 3.4 | 564 | 1988 | 1995 |
| George.Gervin | 2.1 | 757 | 3.3 | 818 | 1974 | 1985 |
| Snyder..Dick. | 2.0 | 641 | 2.0 | 641 | 0 | 0 |
| Andrei.Kirilenko | 2.0 | 721 | 1.4 | 744 | 2002 | 2013 |
| Tom.Chambers | 2.0 | 904 | 3.5 | 1051 | 1982 | 1992 |
| Tony.Battie | 2.0 | 500 | 2.0 | 500 | 1998 | 2011 |
| Van.Lier | 2.0 | 635 | 1.9 | 635 | 0 | 0 |
| John.Long | 2.0 | 619 | 2.0 | 619 | 1984 | 1997 |
| Nene.Hilario | 2.0 | 719 | 2.9 | 745 | 2003 | 2015 |
| Sherman.Douglas | 2.0 | 578 | 0.8 | 607 | 1990 | 1999 |
| Jeff.Foster | 2.0 | 454 | 2.4 | 454 | 2000 | 2011 |
| Andre.Miller | 2.0 | 924 | 2.2 | 1186 | 2001 | 2011 |
| Xavier.McDaniel | 2.0 | 655 | 2.2 | 793 | 1986 | 1993 |
| Nick.Anderson | 1.9 | 688 | 1.4 | 740 | 1991 | 2000 |
| Kyle.Lowry | 1.9 | 486 | 0.3 | 604 | 2010 | 2016 |
| Boris.Diaw | 1.9 | 501 | 3.0 | 894 | 2006 | 2011 |
| Mix | 1.9 | 424 | 1.5 | 424 | 0 | 0 |
| Mullins | 1.9 | 506 | 1.7 | 506 | 0 | 0 |
| Bo.Outlaw | 1.9 | 548 | 1.1 | 558 | 1994 | 2004 |
| Walker..Chet. | 1.9 | 938 | 2.0 | 938 | 0 | 0 |
| Mike.James | 1.9 | 424 | 2.2 | 424 | 2003 | 2013 |
| Zach.Randolph | 1.9 | 907 | 1.3 | 946 | 2004 | 2016 |
| Ty.Lawson | 1.9 | 423 | 1.3 | 423 | 2010 | 2016 |
| Evan.Turner | 1.9 | 434 | 2.3 | 434 | 2011 | 2016 |
| Carr..Austin. | 1.9 | 497 | 2.0 | 497 | 0 | 0 |
| Buck.Williams | 1.9 | 1191 | 2.6 | 1309 | 1982 | 1995 |
| Bridges | 1.9 | 910 | 2.1 | 910 | 0 | 0 |
| Dave.Corzine | 1.8 | 636 | 1.2 | 636 | 1984 | 1990 |
| Cedric.Maxwell | 1.8 | 745 | 1.8 | 745 | 1984 | 1988 |
| Bing | 1.8 | 821 | 1.3 | 821 | 0 | 0 |
| Chones | 1.8 | 590 | 1.6 | 590 | 0 | 0 |
| Mike.Miller | 1.8 | 584 | 0.9 | 817 | 2002 | 2010 |
| Craig.Ehlo | 1.8 | 638 | 2.5 | 654 | 1987 | 1996 |
| Tyreke.Evans | 1.8 | 417 | 1.5 | 417 | 2010 | 2016 |
| Martin..Slater. | 1.8 | 461 | 1.5 | 461 | 0 | 0 |
| Unseld | 1.8 | 945 | 1.8 | 945 | 0 | 0 |
| Eddie.Johnson | 1.8 | 1265 | 0.5 | 1468 | 3967 | 3979 |
| Dale.Ellis | 1.8 | 825 | 0.5 | 1029 | 1987 | 1997 |
| Heinsohn | 1.8 | 818 | 1.8 | 818 | 0 | 0 |
| Glenn.Robinson | 1.8 | 697 | 1.8 | 711 | 4010 | 4020 |
| Jason.Collins | 1.7 | 461 | 2.0 | 461 | 2002 | 2014 |
| Smith..Bingo. | 1.7 | 570 | 0.3 | 570 | 0 | 0 |
| Amar.e.Stoudemire | 1.7 | 597 | 0.4 | 794 | 2004 | 2012 |
| Allen.Iverson | 1.7 | 951 | 0.8 | 978 | 1997 | 2009 |
| Brevin.Knight | 1.7 | 513 | 0.9 | 513 | 1998 | 2009 |
| Mychal.Thompson | 1.7 | 796 | 1.6 | 819 | 1979 | 1990 |
| David.Thompson | 1.7 | 413 | 0.3 | 413 | 1976 | 1981 |
| Luis.Scola | 1.7 | 545 | 1.5 | 545 | 2008 | 2016 |
| Ricky.Sobers | 1.7 | 623 | -0.4 | 623 | 1984 | 1986 |
| Kenny.Anderson | 1.7 | 641 | 2.1 | 743 | 1993 | 2002 |
| Guerin | 1.7 | 812 | 1.4 | 812 | 0 | 0 |
| Eric.Snow | 1.7 | 657 | 2.7 | 697 | 1999 | 2007 |
| Mark.Olberding | 1.7 | 563 | 1.3 | 563 | 1984 | 1987 |
| Stephen.Jackson | 1.6 | 682 | 1.3 | 811 | 2003 | 2011 |
| Sam.Mitchell | 1.6 | 590 | 1.2 | 607 | 1990 | 2000 |
| Smith..Randy. | 1.6 | 881 | 1.6 | 881 | 0 | 0 |
| Luke.Ridnour | 1.6 | 569 | 1.0 | 624 | 2005 | 2013 |
| Nick.Collison | 1.6 | 509 | 0.5 | 513 | 2005 | 2015 |
| Loughery | 1.6 | 672 | 1.3 | 672 | 0 | 0 |
| Stephon.Marbury | 1.6 | 739 | 0.4 | 839 | 1998 | 2007 |
| Cowens | 1.6 | 568 | 1.7 | 568 | 0 | 0 |
| Shaun.Livingston | 1.6 | 405 | 0.1 | 405 | 2005 | 2016 |
| Paul.Westphal | 1.6 | 493 | 3.2 | 493 | 1976 | 1981 |
| Byron.Scott | 1.6 | 780 | 1.8 | 1003 | 1985 | 1993 |
| Keith.Van.Horn | 1.6 | 553 | 1.6 | 553 | 1998 | 2006 |
| Tom.Gugliotta | 1.6 | 529 | 0.7 | 643 | 1993 | 2000 |
| Anthony.Johnson | 1.5 | 411 | 1.6 | 411 | 1998 | 2010 |
| Jeff.McInnis | 1.5 | 430 | 1.2 | 430 | 1999 | 2008 |
| Chris.Mullin | 1.5 | 538 | 0.9 | 956 | 1988 | 1995 |
| Damon.Stoudamire | 1.5 | 745 | 1.8 | 835 | 1996 | 2005 |
| Rajon.Rondo | 1.5 | 650 | 1.7 | 697 | 2008 | 2016 |
| Russell..Cazzie. | 1.5 | 499 | 1.4 | 499 | 0 | 0 |
| Cleamons | 1.5 | 407 | 1.7 | 407 | 0 | 0 |
| Brad.Daugherty | 1.5 | 579 | 0.5 | 579 | 1987 | 1994 |
| Van.Arsdale..Tom. | 1.5 | 742 | 1.4 | 742 | 0 | 0 |
| John.Starks | 1.5 | 740 | 2.4 | 788 | 1992 | 2001 |
| Chris.Mills | 1.4 | 503 | 0.5 | 503 | 1994 | 2003 |
| John.Salley | 1.4 | 529 | 2.9 | 545 | 1987 | 1995 |
| Rowe | 1.4 | 566 | 1.0 | 566 | 0 | 0 |
| Wayman.Tisdale | 1.4 | 676 | 1.0 | 689 | 1986 | 1996 |
| Hagan | 1.4 | 467 | 1.3 | 467 | 0 | 0 |
| Dana.Barros | 1.4 | 494 | 1.3 | 494 | 1990 | 2002 |
| Heard | 1.4 | 495 | 1.6 | 495 | 0 | 0 |
| Tyrone.Hill | 1.4 | 620 | 1.8 | 696 | 1993 | 2003 |
| Sean.Elliott | 1.4 | 534 | 1.8 | 764 | 1991 | 1997 |
| Nelson..Don. | 1.4 | 497 | 1.2 | 497 | 0 | 0 |
| Goran.Dragic | 1.3 | 408 | 1.0 | 417 | 2010 | 2016 |
| Charles.Jones | 1.3 | 436 | -0.1 | 456 | 5969 | 5986 |
| David.Lee | 1.3 | 576 | 1.3 | 637 | 2007 | 2014 |
| Joe.Dumars | 1.3 | 978 | 3.4 | 1077 | 1987 | 1998 |
| Russell..Campy. | 1.3 | 515 | 0.6 | 515 | 0 | 0 |
| Taj.Gibson | 1.3 | 417 | 1.2 | 417 | 2010 | 2016 |
| Jarrett.Jack | 1.3 | 654 | -0.6 | 696 | 2007 | 2016 |
| Rick.Mahorn | 1.3 | 700 | 1.3 | 742 | 1982 | 1991 |
| Komives | 1.3 | 535 | 1.1 | 535 | 0 | 0 |
| Brad.Davis | 1.3 | 616 | 0.6 | 616 | 1984 | 1992 |
| Chris.Duhon | 1.3 | 434 | 1.4 | 434 | 2005 | 2013 |
| Grant.Long | 1.3 | 695 | 1.2 | 827 | 1989 | 1999 |
| Voshon.Lenard | 1.3 | 489 | 2.0 | 489 | 1996 | 2006 |
| Tayshaun.Prince | 1.3 | 865 | 1.5 | 1036 | 2004 | 2013 |
| Johnson..John. | 1.3 | 626 | 0.4 | 626 | 0 | 0 |
| Gerald.Wallace | 1.3 | 646 | 2.1 | 665 | 2005 | 2014 |
| Marco.Belinelli | 1.3 | 400 | 1.1 | 400 | 2008 | 2016 |
| Cliff.Robinson | 1.3 | 514 | 1.6 | 514 | 1984 | 1989 |
| Chris.Morris | 1.3 | 544 | 1.0 | 544 | 1989 | 1999 |
| Reed..Willis. | 1.3 | 762 | 0.9 | 762 | 0 | 0 |
| LaSalle.Thompson | 1.2 | 508 | 1.0 | 560 | 1984 | 1991 |
| Billy.Owens | 1.2 | 514 | 0.9 | 514 | 1992 | 2001 |
| Mark.Eaton | 1.2 | 735 | 3.0 | 763 | 1984 | 1992 |
| Corliss.Williamson | 1.2 | 523 | 0.1 | 568 | 1997 | 2005 |
| Dominique.Wilkins | 1.2 | 868 | -0.2 | 1007 | 1984 | 1994 |
| Christian.Laettner | 1.2 | 562 | 1.2 | 750 | 1993 | 2000 |
| John.Drew | 1.2 | 606 | 1.1 | 533 | 1984 | 1985 |
| Johnny.Newman | 1.2 | 662 | 1.1 | 858 | 1989 | 1998 |
| Channing.Frye | 1.2 | 497 | 0.8 | 497 | 2006 | 2016 |
| Vladimir.Radmanovic | 1.2 | 465 | 1.8 | 465 | 2002 | 2013 |
| Brandon.Bass | 1.2 | 498 | 1.5 | 498 | 2006 | 2016 |
| Wesley.Person | 1.2 | 550 | 1.8 | 594 | 1995 | 2003 |
| Richard.Jefferson | 1.2 | 720 | 1.3 | 1008 | 2003 | 2011 |
| Chris.Childs | 1.1 | 469 | 0.2 | 469 | 1995 | 2003 |
| Jerry.Stackhouse | 1.1 | 586 | 1.6 | 890 | 1996 | 2003 |
| Chris.Kaman | 1.1 | 467 | 1.5 | 562 | 2005 | 2013 |
| Monroe..Earl. | 1.1 | 710 | 1.0 | 710 | 0 | 0 |
| Clark..Archie. | 1.1 | 579 | 1.1 | 579 | 0 | 0 |
| Thabo.Sefolosha | 1.1 | 513 | 0.3 | 513 | 2007 | 2016 |
| Antawn.Jamison | 1.1 | 964 | 1.1 | 1044 | 2000 | 2012 |
| Robert.Reid | 1.1 | 746 | 0.6 | 746 | 1984 | 1991 |
| Gerald.Wilkins | 1.1 | 647 | 0.8 | 828 | 1987 | 1994 |
| Eric.Williams | 1.1 | 481 | 0.6 | 481 | 1996 | 2006 |
| Mookie.Blaylock | 1.1 | 843 | 0.7 | 893 | 1991 | 2001 |
| Winston.Garland | 1.1 | 400 | 1.2 | 400 | 1988 | 1995 |
| Dell.Curry | 1.1 | 641 | 1.1 | 711 | 1988 | 1999 |
| Sam.Perkins | 1.1 | 994 | 1.2 | 1222 | 1985 | 1996 |
| George.McCloud | 1.0 | 469 | -0.2 | 469 | 1990 | 2002 |
| Ray.Allen | 1.0 | 1180 | 0.9 | 1438 | 1998 | 2012 |
| Blake.Griffin | 1.0 | 454 | 3.6 | 454 | 2011 | 2016 |
| Maurice.Cheeks | 1.0 | 1103 | 1.4 | 1208 | 1980 | 1990 |
| Marques.Johnson | 1.0 | 716 | 2.0 | 716 | 1984 | 1987 |
| Bobby.Jackson | 1.0 | 501 | 1.2 | 501 | 1998 | 2009 |
| Joe.Smith | 1.0 | 634 | 0.4 | 800 | 1996 | 2005 |
| Ramsey | 1.0 | 460 | 0.9 | 460 | 0 | 0 |
| Derek.Anderson | 1.0 | 514 | 0.3 | 520 | 1998 | 2007 |
| Dandridge | 1.0 | 668 | 1.0 | 668 | 0 | 0 |
| npChris.Mullin | 1.0 | 418 | 0.0 | 0 | 0 | 0 |
| Jeff.Malone | 1.0 | 821 | 0.3 | 894 | 1985 | 1995 |
| Kenny.Thomas | 1.0 | 493 | 1.3 | 493 | 2000 | 2010 |
| Danny.Schayes | 1.0 | 464 | 0.7 | 464 | 1984 | 1999 |
| Kirk.Hinrich | 0.9 | 765 | 0.8 | 828 | 2004 | 2014 |
| Matt.Harpring | 0.9 | 526 | 1.2 | 528 | 1999 | 2008 |
| Earl.Watson | 0.9 | 532 | 1.0 | 532 | 2002 | 2013 |
| Purvis.Short | 0.9 | 618 | 0.6 | 618 | 1984 | 1990 |
| Shandon.Anderson | 0.9 | 446 | 0.1 | 446 | 1997 | 2006 |
| Rod.Strickland | 0.9 | 762 | 1.0 | 947 | 1990 | 2000 |
| Shue | 0.9 | 617 | 0.8 | 617 | 0 | 0 |
| Kiki.Vandeweghe | 0.9 | 729 | 0.5 | 729 | 1984 | 1993 |
| Brian.Grant | 0.9 | 649 | 0.3 | 673 | 1995 | 2004 |
| Rod.Higgins | 0.9 | 435 | 1.6 | 435 | 1984 | 1995 |
| Mo.Williams | 0.9 | 717 | 0.6 | 749 | 2005 | 2015 |
| npMike.Dunleavy | 0.9 | 814 | 0.0 | 0 | 0 | 0 |
| George.Lynch | 0.9 | 514 | 0.4 | 514 | 1994 | 2005 |
| Tim.Thomas | 0.9 | 593 | -0.3 | 700 | 2000 | 2008 |
| Jason.Richardson | 0.9 | 612 | 0.8 | 866 | 2004 | 2011 |
| Derrick.Coleman | 0.8 | 650 | 0.7 | 737 | 1991 | 2002 |
| Hot.Rod.Williams | 0.8 | 669 | 1.8 | 825 | 1987 | 1995 |
| Rickey.Green | 0.8 | 582 | -0.2 | 582 | 1984 | 1992 |
| Scott..Charlie. | 0.8 | 418 | 1.3 | 418 | 0 | 0 |
| Marcus.Camby | 0.8 | 807 | 0.1 | 904 | 1997 | 2010 |
| Michael.Finley | 0.8 | 784 | 1.6 | 1105 | 1996 | 2005 |
| Allen..Lucious. | 0.7 | 430 | 1.5 | 430 | 0 | 0 |
| Jamaal.Wilkes | 0.7 | 777 | 3.3 | 777 | 1984 | 1986 |
| Costello | 0.7 | 643 | 0.4 | 643 | 0 | 0 |
| Raef.LaFrentz | 0.7 | 459 | 1.7 | 459 | 1999 | 2008 |
| Calbert.Cheaney | 0.7 | 607 | -0.3 | 631 | 1994 | 2004 |
| Vinny.Del.Negro | 0.7 | 470 | 1.1 | 550 | 1989 | 1998 |
| Steve.Blake | 0.7 | 505 | 0.1 | 608 | 2006 | 2014 |
| Attles | 0.7 | 492 | 0.9 | 492 | 0 | 0 |
| Terry.Tyler | 0.7 | 631 | 1.2 | 631 | 1984 | 1989 |
| Gross | 0.7 | 440 | 1.8 | 440 | 0 | 0 |
| Lovellette | 0.7 | 555 | 0.6 | 555 | 0 | 0 |
| George.Johnson | 0.6 | 583 | -1.2 | 583 | 3969 | 3970 |
| Braun | 0.6 | 489 | 0.6 | 489 | 0 | 0 |
| Chucky.Atkins | 0.6 | 504 | -0.0 | 504 | 2000 | 2010 |
| Leandro.Barbosa | 0.6 | 472 | 1.0 | 523 | 2004 | 2012 |
| Corey.Brewer | 0.6 | 505 | 0.1 | 505 | 2008 | 2016 |
| Cedric.Ceballos | 0.6 | 423 | 0.9 | 423 | 1991 | 2001 |
| Jay.Vincent | 0.6 | 468 | 0.2 | 468 | 1984 | 1990 |
| James.Harden | 0.6 | 518 | 1.6 | 575 | 2011 | 2016 |
| Arron.Afflalo | 0.6 | 495 | 1.8 | 536 | 2010 | 2016 |
| Thaddeus.Young | 0.6 | 598 | 1.6 | 647 | 2009 | 2016 |
| Antoine.Carr | 0.6 | 516 | 1.2 | 520 | 1985 | 1998 |
| Richard.Hamilton | 0.5 | 819 | 0.9 | 956 | 2001 | 2010 |
| Rodney.McCray | 0.5 | 639 | 0.4 | 712 | 1985 | 1992 |
| John.Wall | 0.5 | 439 | -0.2 | 439 | 2011 | 2016 |
| Kevin.Martin | 0.5 | 535 | 1.0 | 625 | 2007 | 2015 |
| Kurt.Thomas | 0.5 | 643 | 1.9 | 802 | 1999 | 2008 |
| Brad.Miller | 0.5 | 677 | 1.1 | 721 | 2001 | 2010 |
| Josh.Smith | 0.5 | 724 | -0.4 | 871 | 2007 | 2015 |
| Bantom | 0.5 | 465 | 0.3 | 465 | 0 | 0 |
| Dave.Greenwood | 0.5 | 691 | 0.3 | 691 | 1984 | 1991 |
| Kevin.Gamble | 0.5 | 411 | 0.8 | 411 | 1989 | 1997 |
| npTiny.Archibald | 0.4 | 413 | 0.3 | 413 | 0 | 0 |
| Corey.Maggette | 0.4 | 597 | 0.1 | 663 | 2002 | 2012 |
| Tyrone.Corbin | 0.4 | 819 | 0.8 | 844 | 1987 | 1999 |
| Bonzi.Wells | 0.4 | 446 | 1.0 | 446 | 2000 | 2008 |
| Doug.Christie | 0.4 | 675 | -1.3 | 776 | 1996 | 2004 |
| Erickson | 0.4 | 604 | -0.2 | 604 | 0 | 0 |
| Jason.Williams | 0.4 | 691 | -0.5 | 733 | 1999 | 2008 |
| Roy.Hinson | 0.4 | 463 | -0.5 | 463 | 1984 | 1991 |
| Wally.Szczerbiak | 0.4 | 498 | 1.3 | 602 | 2000 | 2007 |
| Hudson..Lou. | 0.4 | 745 | -0.1 | 745 | 0 | 0 |
| Caron.Butler | 0.4 | 671 | 0.4 | 845 | 2003 | 2012 |
| Sleepy.Floyd | 0.4 | 662 | 0.5 | 704 | 1984 | 1992 |
| Naulls | 0.4 | 495 | 0.0 | 495 | 0 | 0 |
| Maravich | 0.4 | 591 | 0.3 | 591 | 0 | 0 |
| Kendall.Gill | 0.4 | 667 | -0.4 | 870 | 1992 | 2001 |
| npManu.Ginobili | 0.4 | 409 | 0.0 | 0 | 0 | 0 |
| Darrell.Griffith | 0.4 | 537 | 0.8 | 537 | 1984 | 1991 |
| Darrell.Armstrong | 0.3 | 548 | -0.3 | 580 | 1997 | 2005 |
| Ben.Gordon | 0.3 | 601 | 0.7 | 614 | 2005 | 2013 |
| Trenton.Hassell | 0.3 | 490 | 0.8 | 490 | 2002 | 2010 |
| LaRusso | 0.3 | 721 | -0.4 | 721 | 0 | 0 |
| Michael.Cooper | 0.3 | 767 | 0.5 | 767 | 1980 | 1990 |
| Lucious.Harris | 0.3 | 418 | 0.6 | 418 | 1994 | 2005 |
| Ruben.Patterson | 0.2 | 487 | -0.6 | 487 | 1999 | 2008 |
| Maurice.Lucas | 0.2 | 741 | 2.8 | 865 | 1976 | 1985 |
| Derek.Harper | 0.2 | 817 | -0.4 | 1191 | 1987 | 1996 |
| Howard.Eisley | 0.2 | 438 | 0.3 | 438 | 1995 | 2006 |
| Greg.Anthony | 0.1 | 422 | -0.4 | 422 | 1992 | 2002 |
| Rafer.Alston | 0.1 | 548 | -0.4 | 564 | 2003 | 2010 |
| Bob.McAdoo | 0.1 | 616 | -0.2 | 616 | 1984 | 1986 |
| DeMar.DeRozan | 0.1 | 473 | 0.4 | 521 | 2011 | 2016 |
| Scott..Ray. | 0.1 | 687 | -0.1 | 687 | 0 | 0 |
| Nick.Van.Exel | 0.1 | 797 | -0.6 | 855 | 1994 | 2004 |
| Kenny.Smith | 0.1 | 690 | 0.3 | 705 | 1988 | 1996 |
| Jrue.Holiday | 0.1 | 424 | 0.4 | 424 | 2010 | 2016 |
| Randy.Foye | 0.1 | 535 | -0.4 | 535 | 2007 | 2016 |
| Steve.Kerr | 0.1 | 471 | 0.5 | 471 | 1990 | 2003 |
| Mike.Woodson | 0.1 | 552 | 0.5 | 552 | 1984 | 1991 |
| Sedale.Threatt | 0.0 | 561 | -0.3 | 644 | 1986 | 1995 |
| Wilkens | 0.0 | 1002 | -0.5 | 1002 | 0 | 0 |
| Jason.Thompson | -0.0 | 439 | -0.4 | 439 | 2009 | 2016 |
| Vin.Baker | -0.0 | 448 | 0.1 | 706 | 1995 | 2000 |
| Lucas..Jerry. | -0.0 | 772 | -0.6 | 772 | 0 | 0 |
| Vernon.Maxwell | -0.0 | 646 | -0.9 | 741 | 1989 | 1997 |
| Orlando.Woolridge | -0.1 | 643 | -1.7 | 643 | 1983 | 1994 |
| Vern.Fleming | -0.1 | 622 | -1.9 | 703 | 1985 | 1993 |
| Ellis..Leroy. | -0.1 | 898 | 0.2 | 898 | 0 | 0 |
| Shawn.Bradley | -0.1 | 528 | -0.3 | 548 | 1994 | 2003 |
| Isaiah.Rider | -0.1 | 509 | -1.6 | 509 | 1994 | 2002 |
| npJason.Kidd | -0.1 | 476 | 0.0 | 0 | 0 | 0 |
| Lou.Williams | -0.1 | 554 | -1.6 | 563 | 2008 | 2016 |
| Joe.Barry.Carroll | -0.2 | 655 | 0.3 | 655 | 1984 | 1990 |
| Courtney.Lee | -0.2 | 526 | 0.4 | 526 | 2009 | 2016 |
| Shelton | -0.2 | 527 | 0.8 | 527 | 0 | 0 |
| Junior.Bridgeman | -0.2 | 670 | 0.4 | 670 | 1984 | 1987 |
| Avery.Johnson | -0.2 | 740 | 0.9 | 787 | 1992 | 2002 |
| Dee.Brown | -0.3 | 517 | 0.4 | 527 | 3998 | 4010 |
| Rodney.Stuckey | -0.3 | 529 | -0.2 | 529 | 2008 | 2016 |
| Juwan.Howard | -0.3 | 732 | -0.1 | 985 | 1995 | 2004 |
| Lamond.Murray | -0.3 | 508 | -0.5 | 508 | 1995 | 2006 |
| Anthony.Peeler | -0.3 | 601 | 0.1 | 648 | 1993 | 2003 |
| Blue.Edwards | -0.3 | 584 | 0.3 | 588 | 1990 | 1998 |
| Ed.Pinckney | -0.3 | 412 | -0.6 | 412 | 1986 | 1997 |
| Jamal.Crawford | -0.3 | 952 | -0.7 | 1046 | 2004 | 2016 |
| Rony.Seikaly | -0.4 | 621 | -0.3 | 622 | 1989 | 1998 |
| Goodrich | -0.4 | 768 | -0.7 | 768 | 0 | 0 |
| Thurl.Bailey | -0.4 | 667 | -0.7 | 785 | 1985 | 1992 |
| Mario.Chalmers | -0.4 | 578 | -0.5 | 578 | 2009 | 2016 |
| Donyell.Marshall | -0.4 | 673 | -0.7 | 710 | 1995 | 2006 |
| Vinnie.Johnson | -0.5 | 823 | 0.8 | 823 | 1983 | 1992 |
| LaPhonso.Ellis | -0.5 | 517 | -0.8 | 534 | 1993 | 2002 |
| Spud.Webb | -0.5 | 537 | -1.0 | 538 | 1986 | 1996 |
| Drew.Gooden | -0.5 | 596 | 0.7 | 634 | 2003 | 2012 |
| Travis.Best | -0.5 | 442 | -1.2 | 442 | 1996 | 2005 |
| Jones..Wali. | -0.5 | 480 | -0.7 | 480 | 0 | 0 |
| David.Wesley | -0.5 | 767 | 0.4 | 866 | 1997 | 2006 |
| Sam.Bowie | -0.5 | 435 | -0.0 | 435 | 1985 | 1995 |
| Wilson.Chandler | -0.5 | 417 | -0.8 | 417 | 2008 | 2015 |
| Norm.Nixon | -0.5 | 593 | -1.9 | 630 | 1978 | 1986 |
| Spencer.Hawes | -0.5 | 423 | -1.0 | 423 | 2008 | 2016 |
| Barnett..Jim. | -0.5 | 465 | -0.8 | 465 | 0 | 0 |
| Al.Jefferson | -0.6 | 632 | 0.6 | 718 | 2007 | 2015 |
| Andrea.Bargnani | -0.6 | 451 | -0.8 | 451 | 2007 | 2016 |
| Allan.Houston | -0.6 | 771 | -1.7 | 817 | 1995 | 2004 |
| Samuel.Dalembert | -0.6 | 645 | -1.0 | 646 | 2004 | 2015 |
| Larry.Hughes | -0.6 | 599 | -1.8 | 662 | 2000 | 2009 |
| Eric.Gordon | -0.6 | 404 | -1.6 | 404 | 2009 | 2016 |
| Wesley.Matthews | -0.6 | 446 | -1.2 | 517 | 2011 | 2016 |
| Brook.Lopez | -0.7 | 479 | -0.9 | 479 | 2009 | 2016 |
| Brian.Shaw | -0.7 | 555 | -0.6 | 653 | 1991 | 2001 |
| Lorenzen.Wright | -0.7 | 506 | 0.0 | 525 | 1997 | 2006 |
| Willie.Anderson | -0.7 | 462 | 0.6 | 469 | 1989 | 1996 |
| Chuck.Person | -0.8 | 562 | 0.7 | 854 | 1987 | 1993 |
| Greg.Monroe | -0.8 | 439 | -0.4 | 439 | 2011 | 2016 |
| Ohl | -0.8 | 771 | -1.4 | 771 | 0 | 0 |
| Jim.Jackson | -0.8 | 791 | -0.6 | 826 | 1994 | 2005 |
| Mickey.Johnson | -0.9 | 763 | -0.8 | 763 | 1984 | 1986 |
| Loy.Vaught | -0.9 | 448 | -1.2 | 448 | 1991 | 2001 |
| Bryant.Stith | -0.9 | 483 | -0.4 | 483 | 1993 | 2002 |
| npGrant.Hill | -0.9 | 454 | 0.0 | 0 | 0 | 0 |
| Antoine.Walker | -1.0 | 815 | -1.3 | 899 | 1997 | 2006 |
| Quinn.Buckner | -1.0 | 419 | 1.2 | 384 | 1984 | 1986 |
| Bob.Sura | -1.0 | 439 | -1.4 | 439 | 1996 | 2005 |
| Johnny.Dawkins | -1.0 | 418 | -1.2 | 418 | 1987 | 1995 |
| Michael.Cage | -1.0 | 742 | -0.2 | 882 | 1987 | 1996 |
| Kenny.Carr | -1.1 | 434 | -0.7 | 434 | 1984 | 1987 |
| Shareef.Abdur.Rahim | -1.1 | 653 | 0.4 | 781 | 1997 | 2005 |
| Rex.Chapman | -1.1 | 565 | -1.1 | 583 | 1989 | 1999 |
| Kevin.Edwards | -1.1 | 440 | -0.8 | 440 | 1989 | 2001 |
| Olden.Polynice | -1.1 | 538 | -1.6 | 681 | 1991 | 1999 |
| Mike.Mitchell | -1.2 | 598 | -1.5 | 598 | 1984 | 1988 |
| Share | -1.2 | 405 | -1.3 | 405 | 0 | 0 |
| John.Bagley | -1.2 | 488 | -1.0 | 488 | 1984 | 1992 |
| Muggsy.Bogues | -1.2 | 667 | -0.9 | 740 | 1988 | 1998 |
| Desmond.Mason | -1.2 | 555 | -1.7 | 590 | 2002 | 2009 |
| Harvey.Grant | -1.2 | 459 | -0.6 | 557 | 1990 | 1996 |
| Jeff.Green | -1.3 | 555 | -2.8 | 622 | 2009 | 2016 |
| Rory.Sparrow | -1.3 | 673 | -2.7 | 673 | 1984 | 1992 |
| Walter.Davis | -1.4 | 908 | -2.8 | 923 | 1978 | 1991 |
| Rick.Fox | -1.4 | 657 | 0.7 | 748 | 1994 | 2003 |
| Hubert.Davis | -1.4 | 424 | -1.5 | 424 | 1993 | 2003 |
| Carter..Fred. | -1.4 | 453 | -2.3 | 453 | 0 | 0 |
| Pooh.Richardson | -1.4 | 472 | -1.8 | 530 | 1990 | 1996 |
| Reggie.Theus | -1.4 | 929 | -0.9 | 929 | 1979 | 1991 |
| DeShawn.Stevenson | -1.4 | 474 | -0.9 | 518 | 2004 | 2013 |
| Troy.Murphy | -1.4 | 499 | -1.6 | 562 | 2003 | 2010 |
| Herb.Williams | -1.5 | 772 | 0.3 | 809 | 1983 | 1992 |
| Ramon.Sessions | -1.5 | 452 | -2.0 | 452 | 2008 | 2016 |
| Caldwell.Jones | -1.5 | 885 | -0.2 | 885 | 1984 | 1990 |
| Bimbo.Coles | -1.6 | 549 | -1.6 | 576 | 1992 | 2003 |
| Miles..Eddie. | -1.6 | 521 | -1.5 | 521 | 0 | 0 |
| Jose.Calderon | -1.6 | 580 | -2.0 | 660 | 2008 | 2016 |
| Clarence.Weatherspoon | -1.6 | 733 | -1.5 | 763 | 1993 | 2003 |
| John.Salmons | -1.7 | 612 | -1.4 | 689 | 2006 | 2015 |
| Ken.Norman | -1.7 | 515 | -1.0 | 557 | 1989 | 1996 |
| Rasual.Butler | -1.7 | 447 | -2.4 | 447 | 2003 | 2016 |
| John.Paxson | -1.7 | 555 | -2.0 | 566 | 1985 | 1993 |
| Emeka.Okafor | -1.8 | 570 | -1.8 | 570 | 2005 | 2013 |
| Terry.Mills | -1.8 | 444 | -2.3 | 444 | 1991 | 2000 |
| Benoit.Benjamin | -1.9 | 628 | -1.5 | 633 | 1986 | 1996 |
| Rodgers..Guy. | -2.0 | 784 | -2.4 | 784 | 0 | 0 |
| Bill.Hanzlik | -2.2 | 406 | -2.0 | 406 | 1984 | 1990 |
| Ron.Anderson | -2.3 | 441 | 0.2 | 441 | 1985 | 1994 |
| Jay.Humphries | -2.3 | 713 | -2.7 | 713 | 1985 | 1994 |
| Green..Johnny. | -2.5 | 497 | -2.7 | 497 | 0 | 0 |
| Sanders..Tom. | -2.5 | 831 | -2.3 | 831 | 0 | 0 |
| Doug.West | -2.5 | 448 | -2.9 | 448 | 1990 | 2001 |
| Scott.Skiles | -2.6 | 424 | -3.1 | 424 | 1987 | 1996 |
| Kelly.Tripucka | -2.7 | 558 | -2.3 | 558 | 1984 | 1991 |
| Wicks | -2.8 | 683 | -3.2 | 683 | 0 | 0 |
| O.J..Mayo | -3.0 | 521 | -2.6 | 521 | 2009 | 2016 |
| Ricky.Davis | -3.1 | 575 | -3.6 | 594 | 2002 | 2010 |
| Martell.Webster | -3.1 | 410 | -2.0 | 410 | 2006 | 2015 |
| Mahmoud.Abdul.Rauf | -3.5 | 448 | -2.9 | 448 | 1991 | 2001 |
| Tomjanovich | -4.5 | 687 | -4.7 | 687 | 0 | 0 |
We often talk about the “smell test” in these kinds of metrics, and seeing a collection of MVPs cluster at the top smells like Thanksgiving. Pretty much any tweaking of variables yields the same names at the top (although of the big names, Larry Bird moves around a bit). If we include players with only a few seasons of data, there’s the occasional Otto Moore among the legends, but that’s expected in any regression model, especially when the sample starts to become small.
There’s a lot to talk about here, and in a later post, I’ll dissect these numbers in greater detail. I caution you to hold off on reaching conclusions that are too strong until I lay out the historical nuances in these numbers, but for now, feel free to peruse them using the search function.
The rest of this post will include a lot of math/APBR stuff. A special thanks to the legendary Evan Z, who answered all of my questions related to running penalized regressions. In the next post, I’ll dive into all of these historical numbers and what they mean.
WOWYR Methodology
Lineups
Before 1984: To qualify for a lineup, players needed to play over 25 minutes per game for a team. When only four players on a team averaged over 25 mpg for the season, additional players were included in the “core lineup.” In such cases, players who clustered near 23-24 mpg completed the lineup for a team. (Yes, this means that some teams have lineups with 5 players and some with more.)
Players with fewer than 83 qualifying games in total were converted to “replacement” players. This is different than an RAPM replacement player, who represents someone on the end of the bench. Here, it’s someone who could not make other starting/core units for more than a year’s worth of games. Test-sample accuracy (measured by MSE) improved by converting these players to replacements, which removes a significant amount of noise from the model.
Note: Some early lineups from the 50’s and 60’s were manually constructed and may be missing lineups that only played a few games here and there.
After 1984: After 1984, we have the actual minutes played by each player in each game. To qualify for a lineup, a player had to play at least 20 minutes in a game. Values ranging from 20-30 minutes were explored, and 20 minutes yielded the best test-sample results.
Most core players will play for 20 minutes in a given night, barring some kind of injury or rare situation in which they have extreme foul trouble. Furthermore, since this is not a per-possession metric, it’s assumed that it’s rare to impact a game by playing in under 40% of its possessions. This also means that when someone plays only a few minutes in a game, he is counted as missing that game.
Because of the change in qualifying criteria, a separate replacement player was created for this era. Test-sample accuracy improved with replacement players set at 82 games. (Again, all postseason games were included.)
Prime vs. Non-Prime Seasons: To improve the performance of the model, players with clear jumps in their play were split into two different players — “prime” and “non-prime” versions of themselves. For example, it treats Kobe Bryant differently in 1996, 2006 and 2016. There will always be a certain amount of “smoothing” across a player’s “regular” years; this is an attempt to trim the extremes on the edges. Young players usually take a year or two to develop, while aging veterans still log minutes despite being completely different versions of themselves (Kevin Garnett says hello).
This division should not be thought of as an attempt to carve out a players “best years.” Instead, the line is often drawn when there are clear jumps in minutes per game.
Players with smooth descents, like Garnett, are slightly harder to differentiate, where there might be a two or three-year period that could qualify as “he’s not the same guy anymore.” Either way, aging is always a tricky thing to control for in multi-year studies, but this is far better than telling the model to treat 37 year-old Vince Carter as the same guy who made eight consecutive All-Star games playing nearly 15 mpg more per night.
Point Differentials
Every unique lineup for a given season has (1) a number of games played and (2) a point differential. The point differential is calculated by taking the season-long SRS of all opponents for that lineup and using that as a strength of schedule adjuster, along with three points from home-court advantage.
(This means the “true” opponent quality will not always be captured, in instances where the opponent is fielding a lineup that differs greatly in performance from it’s season-long average SRS. Future versions of WOWYR could pit lineups directly against lineups in the traditional adjusted plus-minus manner.)
The Regression
The regression uses the lineups (as described above), the point differential of the lineup and the number of games played to weight the lineup. (The OLS version was technically Weighted Least Squares.) Weighting uses the inverse of the variance of the number of games played by the lineup.
Variance (based on number of games played by a lineup) was calculated by taking seasons from different consistent core lineups (the same group of players) and then randomly sampling differing numbers of games to create a power function that represents the standard deviation for any number of games.
Standard Deviation = 14.402x-0.6567 where x is the number of games.
Regression used 10-fold cross-validation. Best test results were found using 90% data to train the model and 10% for testing, with a test MSE of 3.0 and RMSE ratio of 1:1 between train and test data.
Future Directions
There are a few key areas to explore in the future. It’s possible using under 20 minutes per game at a game-by-game level might be better. Additionally, the difference in data resolution between pre-1984 and post-1984 (Orwellian data!) means that there might be better ways to blend the models. Additionally, areas like prime seasons could be tweaked.
