International Journal of Computer Science in Sport – Volume 12/2013/Edition 2 www.iacss.org
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Table 4. Players Involved in the Most Plays in Our Data Set.
Description of the Model
In our Skills Plus Minus (“SPM”) framework, we run a series of nested probit regressions to
estimate the likelihood of various events for a given play. We order a series of events {EVTi, i
= 1,…n} sequentially. We then define
, the conditional probability of each EVTi
occurring, as:
is the probability of the event i, conditional on all prior events in the sequence not
occurring (since only one event can occur per play). is the cdf of the standard normal
distribution,
is a constant associated with the event, is the home court dummy
variable,
is the possession start variable, and and are player dummy
variables. is 1 if the home team has possession, and 0 if the away team has possession.
are dummy variables for either “Defensive Rebound”, “Offensive Rebound”, or “Steal”.
Name Plays Name Plays Name Plays Name Plays Name Plays Name Plays
1 Andre Iguodala 53,798 Samuel Dalembert 39,505 Ronnie Brewer 29,750 Brook Lopez 22,937 Mike James 17,691 Kris Humphries 12,515
2 Kobe Bryant 50,783 LaMarcus Aldridge 39,388 Antonio McDyess 29,712 Jason Maxiell 22,841 Michael Beasley 17,603 Josh Powell 12,290
3 Dwight Howard 49,297 Zach Randolph 39,098 Zydrunas Ilgauskas 29,589 Aaron Brooks 22,826 Eddy Curry 17,458 Leon Powe 12,131
4 LeBron James 49,254 Carlos Boozer 38,806 Luke Ridnour 29,559 Carlos Delfino 22,801 Jamaal Tinsley 17,428 Renaldo Balkman 12,010
5 Antawn Jamison 48,399 Allen Iverson 38,764 T.J. Ford 29,412 Jason Williams 22,734 C.J. Miles 17,399 Tony Battie 11,894
6 Jason Kidd 47,746 Mike Miller 38,742 Luis Scola 29,352 Jordan Farmar 22,712 Marko Jaric 17,225 Tyreke Evans 11,793
7 Andre Miller 47,515 Mike Bibby 38,565 Peja Stojakovic 29,175 Linas Kleiza 22,674 Josh Childress 17,156 Jamaal Magloire 11,681
8 Rudy Gay 47,238 Kevin Durant 38,436 DeShawn Stevenson 29,124 Daniel Gibson 22,402 Wally Szczerbiak 17,126 Ersan Ilyasova 11,617
9 Joe Johnson 47,209 Kirk Hinrich 38,322 Andres Nocioni 28,806 Dahntay Jones 22,334 Fabricio Oberto 17,051 Brent Barry 11,546
10 Dirk Nowitzki 47,053 Derek Fisher 38,318 Ricky Davis 28,802 Antoine Wright 22,124 Bobby Jackson 17,040 Joel Anthony 11,468
11 Vince Carter 46,936 Marvin Williams 38,152 Al Thornton 28,749 Darko Milicic 22,106 Sasha Vujacic 16,880 Ronnie Price 11,402
12 Deron Williams 46,845 Troy Murphy 38,081 Charlie Villanueva 28,184 Darius Songaila 22,103 Carlos Arroyo 16,803 Malik Allen 11,259
13 Stephen Jackson 46,780 Rafer Alston 37,792 Kyle Korver 28,084 Zaza Pachulia 22,071 Mark Blount 16,769 Chris Quinn 11,230
14 Raymond Felton 46,622 Kevin Martin 36,967 Brendan Haywood 27,983 Spencer Hawes 21,991 Kevin Love 16,669 Dan Gadzuric 11,164
15 Steve Nash 46,241 Andrea Bargnani 36,872 Kenyon Martin 27,980 Kelenna Azubuike 21,909 Joey Graham 16,504 Ruben Patterson 11,139
16 Danny Granger 44,800 Earl Watson 36,624 Trevor Ariza 27,905 Ime Udoka 21,876 Lou Williams 16,432 Mardy Collins 11,109
17 Rashard Lewis 44,796 Steve Blake 36,609 Michael Finley 27,314 Ronny Turiaf 21,834 Tony Allen 16,380 Hilton Armstrong 11,098
18 Carmelo Anthony 44,607 Corey Maggette 36,458 Maurice Evans 27,273 Desmond Mason 21,825 J.J. Redick 16,281 Shaun Livingston 11,069
19 Richard Jefferson 44,195 Udonis Haslem 36,362 Mickael Pietrus 27,156 Jamario Moon 21,783 Matt Harpring 16,124 Brandon Jennings 11,028
20 Amare Stoudemire 44,009 Devin Harris 36,074 Erick Dampier 27,145 Devin Brown 21,695 Jannero Pargo 16,092 Greg Buckner 10,956
21 John Salmons 43,992 Richard Hamilton 35,991 Mike Conley 27,132 Marc Gasol 21,243 Johan Petro 16,085 Louis Williams 10,837
22 Caron Butler 43,968 Kevin Garnett 35,817 Tracy McGrady 27,095 Luke Walton 21,210 Daequan Cook 16,052 Tyronn Lue 10,799
23 Baron Davis 43,896 Brad Miller 35,648 Andray Blatche 27,074 Marquis Daniels 21,140 Anthony Morrow 16,044 Sam Cassell 10,783
24 Josh Smith 43,851 Tony Parker 35,389 Elton Brand 26,906 Kurt Thomas 20,910 Brandon Bass 16,016 Shannon Brown 10,719
25 David West 43,690 Chris Duhon 35,372 O.J. Mayo 26,888 Gilbert Arenas 20,868 Jerry Stackhouse 15,986 Antoine Walker 10,706
26 Shawn Marion 43,629 Jeff Green 34,935 Thaddeus Young 26,800 Eddie House 20,834 DeSagana Diop 15,962 Jonny Flynn 10,695
27 Hedo Turkoglu 43,429 Rasheed Wallace 34,399 Nate Robinson 26,773 Trenton Hassell 20,735 Stephon Marbury 15,942 Travis Diener 10,637
28 Gerald Wallace 43,407 Rasual Butler 34,381 Travis Outlaw 26,601 Eric Gordon 20,699 Dorell Wright 15,676 Damon Jones 10,551
29 Ray Allen 43,312 Jose Calderon 34,105 Sebastian Telfair 26,548 Anthony Carter 20,679 Nazr Mohammed 15,627 Yakhouba Diawara 10,507
30 Chris Bosh 43,234 Raja Bell 34,066 Damien Wilkins 26,462 Joe Smith 20,623 Earl Boykins 15,455 Louis Amundson 10,496
31 Jamal Crawford 43,109 Nick Collison 33,773 Thabo Sefolosha 26,415 Antonio Daniels 20,580 Sergio Rodriguez 15,429 Ryan Hollins 10,496
32 Chauncey Billups 43,101 Andrew Bogut 33,578 Michael Redd 26,288 Vladimir Radmanovic 20,564 Brevin Knight 15,427 Gerald Green 10,446
33 Boris Diaw 42,703 Ben Wallace 33,548 Andrew Bynum 26,127 Joel Przybilla 20,361 Jose Juan Barea 15,270 Donte Greene 10,406
34 David Lee 42,058 Beno Udrih 33,220 Shaquille O'Neal 26,077 Quinton Ross 20,277 Bobby Simmons 15,147 Brian Scalabrine 10,220
35 Jason Terry 42,027 Charlie Bell 32,791 Francisco Garcia 25,833 Jason Thompson 20,148
14,977 Damon Stoudamire 10,033
36 Jason Richardson 41,972 Chris Kaman 32,745 Mikki Moore 25,590 Corey Brewer 19,934 Rashad McCants 14,961 J.J. Hickson 10,000
37 Lamar Odom 41,838 Mike Dunleavy 32,577 Keith Bogans 25,362 Rasho Nesterovic 19,823 James Jones 14,839 Will Bynum 9,989
38 Monta Ellis 41,190 Andrei Kirilenko 32,491 Roger Mason 25,261 Luther Head 19,741 George Hill 14,710 Marco Belinelli 9,987
39 Anthony Parker 41,146 Matt Barnes 32,362 Derrick Rose 25,171 Morris Peterson 19,736 Chucky Atkins 14,471 Chris Douglas-Roberts 9,683
40 Al Harrington 41,112 Leandro Barbosa 32,337 Channing Frye 25,100 Jared Dudley 19,490 Chris Andersen 14,460 Marreese Speights 9,650
41 Emeka Okafor 41,065 Paul Millsap 32,061 Jason Kapono 25,015 Nenad Krstic 19,399 Juan Dixon 14,353 Kevin Ollie 9,635
42 Tayshaun Prince 40,991 Kendrick Perkins 31,802 Ronald Murray 24,884 Yi Jianlian 19,211 Jason Collins 14,319 Nicolas Batum 9,630
43 Ben Gordon 40,867 Nene Hilario 31,676 Bruce Bowen 24,745 Carl Landry 19,159 Devean George 14,240 Julian Wright 9,560
44 Paul Pierce 40,827 J.R. Smith 31,579 Chris Wilcox 24,716 Brandon Rush 18,997 Glen Davis 14,098 Taj Gibson 9,535
45 Pau Gasol 40,827 Jermaine O'Neal 31,564 Wilson Chandler 24,707 Nick Young 18,976 Danilo Gallinari 13,895 Eddie Jones 9,527
46 Shane Battier 40,740 Jameer Nelson 31,478 Tyrus Thomas 24,604 Matt Carroll 18,958 Rudy Fernandez 13,885 Ryan Anderson 9,435
47 Jarrett Jack 40,737 Tyson Chandler 31,467 Jeff Foster 24,261 Sasha Pavlovic 18,891 Stephen Curry 13,801 Goran Dragic 9,414
48 Mo Williams 40,617 Al Horford 31,233 Rodney Stuckey 24,191 Anthony Johnson 18,781 Shelden Williams 13,731 Jonas Jerebko 9,322
49 Tim Duncan 40,522 Josh Howard 31,201 Russell Westbrook 24,190 Ramon Sessions 18,706 Brian Skinner 13,715 Darren Collison 9,252
50 Chris Paul 40,417 Manu Ginobili 31,152 Jarvis Hayes 23,956 Reggie Evans 18,599 D.J. Augustin 13,689 James Singleton 9,169
51 Luol Deng 40,259 Anderson Varejao 31,125 Cuttino Mobley 23,915 Eduardo Najera 18,416 Roy Hibbert 13,626 JaVale McGee 9,120
52 Ryan Gomes 40,214 Andris Biedrins 30,943 Chuck Hayes 23,911 Josh Boone 18,415 Amir Johnson 13,586 Eric Snow 9,088
53 Al Jefferson 40,184 Quentin Richardson 30,442 Yao Ming 23,740 Arron Afflalo 18,406 Kwame Brow n 13,554 Solomon Jones 9,052
54 Marcus Camby 40,171 Hakim Warrick 30,398 Jared Jeffries 23,737 Rodney Carney 18,385 Royal Ivey 13,401 Omri Casspi 8,748
55 Dwyane Wade 40,132 Willie Green 30,335 Craig Smith 23,697 Matt Bonner 18,327 Bostjan Nachbar 13,294 Kenny Thomas 8,659
56 Brandon Roy 40,028 James Posey 30,109 Kyle Lowry 23,638 Courtney Lee 17,996 Dominic McGuire 13,117 Stromile Swift 8,634
57 Ron Artest 39,947 Randy Foye 29,993 Keyon Dooling 23,530 Mario Chalmers 17,965 Marcus Williams 13,086 Juan Carlos Navarro 8,621
58 Mehmet Okur 39,831 Drew Gooden 29,973 Martell Webster 23,281 C.J. Watson 17,950 Adam Morrison 13,011 Jacque Vaughn 8,568
59 Rajon Rondo 39,647 Larry Hughes 29,899 Joakim Noah 23,155 Juwan Howard 17,883 Francisco Elson 12,653 Bonzi Wells 8,544
60 Grant Hill 39,532 Delonte West 29,880 Tim Thomas 23,000 Fred Jones 17,789 Smush Parker 12,626 Anthony Randolph 8,543