Points Responsible

The only two of the top five positive statistics (points, rebounds, assists, steals and blocks) or two negative statistics (fouls and turnovers) that unquestionably results in a score for either team are points and assists. For the rest, whether it's a steal or turnover or a block or a foul, can only increase or decrease the likelihood of a score, but none of them are sure things.

With that in mind, we can look at the combination of points and assists as a measure of the number of points each player is responsible for. Suppose you score 20 points and hand out 5 assists. Then you are responsible for a total of 30 points: 20 that you scored yourself and the 10 points other teammates scored off of your assists.

Points Responsible = Points + 2 * Assists

There are four problems with this approach. First, an assist for a three pointer counts the same as an assist for a two pointer. You might have actually been responsible for a total of 35 points: 20 points that you scored yourself and the 15 points off of 5 three pointers that your teammates scored off of your passes. So the right multiplier on assists is some number between 2 and 3.

Second, passes that lead to a foul and a missed field goal attempt do not count as an assist at all. Players who tend to give assists under the basket to players who get fouled would therefore not get the credit they deserve by this method.

Third, this method completely ignores field goal percentage and turnovers. Players who score a lot but shoot a low percentage and players who make a lot of passes, only some of which are good, would tend to be rewarded by this methodology.

Fourth, this method penalizes teams who play at a slower pace. Those teams that play an up-tempo, high-scoring game would tend to have higher points and assists all across the board.

How to address these three concerns? First, we will try different multipliers between 2 and 3 to see how it affects the rankings. Second, we will assume that among the caliber of players we are looking at, there is no bias among players who tend to give passes that lead to fouls vs. those that don't; in other words, we will assume it averages out. Third, we will address the shooting percentage and turnovers problem by noting again that those statistics do not necessarily result in a score for the opposition. You can miss all the shots you want and turn the ball over as much as you want but if your team puts up more points than the other guys, you win. Fourth, in a future exclusive, we can consider the result of points responsible as a ratio to the average points scored of the team.

For statistics through March 3, 2005, here are the leaders using a multiplier of two for assists. These are total numbers for the entire season as opposed to averages to reflect the total contribution by the player over the entire year to date.

Rank

Player Points Assists Responsible
1 Allen Iverson 1540 394 2328
2 LeBron James 1372 411 2194
3 S. Marbury 1200 469 2138
4 Dwyane Wade 1316 405 2126
5 Tracy McGrady 1399 330 2059
6 Steve Nash 854 598 2050
7 Steve Francis 1214 391 1996
8 G. Arenas 1383 288 1959
9 Kevin Garnett 1284 328 1940
10 Mike Bibby 1134 367 1868
11 Dirk Nowitzki 1485 172 1829
12 Paul Pierce 1272 243 1758
13 Ray Allen 1299 211 1721
14 Kobe Bryant 1159 277 1713
15 Vince Carter 1220 226 1672
16 Tony Parker 932 356 1644
17 Kirk Hinrich 840 368 1576
18 R. Hamilton 1083 245 1573
19 C. Billups 896 338 1572
20 S. O'Neal 1245 160 1565
21 A. Walker 1155 203 1561
22 Rafer Alston 766 379 1524
23 A. Stoudemire 1517 0 1517
24 Andre Miller 790 361 1512
25 D. Stoudamire 870 310 1490
26 Tim Duncan 1168 150 1468
27 Elton Brand 1141 153 1447
28 Michael Redd 1178 126 1430
29 Grant Hill 1045 187 1419
30 Jeff McInnis 802 301 1404
31 A. Jamison 1149 124 1397
32 Joe Johnson 944 213 1370
33 Shawn Marion 1110 123 1356
34 C. Anthony 1026 146 1318
35 Brad Miller 876 220 1316
36 Manu Ginobili 881 215 1311
36 Gary Payton 655 328 1311
38 Bobby Simmons 972 161 1294
39 Chucky Atkins 777 240 1257
40 Lamar Odom 858 198 1254
41 Al Harrington 905 163 1231
42 Ricky Davis 884 165 1214
43 Jalen Rose 956 127 1210
44 Desmond Mason 906 150 1206
45 Carlos Boozer 909 144 1197
46 Damon Jones 681 256 1193
47 Q. Richardson 944 123 1190
48 Jason Terry 639 275 1189
49 W. Szczerbiak 909 137 1183
50 Earl Boykins 708 215 1138

And here are the top 10 if the multiplier is 3 instead of 2: notice how Steve Nash moves up in the rankings immediately because of his high assists totals.

Rank Player Points Assists Responsible
1 Allen Iverson 1540 394 2722
2 Steve Nash 854 598 2648
3 S. Marbury 1200 469 2607
4 LeBron James 1372 411 2605
5 Dwyane Wade 1316 405 2531
6 Tracy McGrady 1399 330 2389
7 Steve Francis 1214 391 2387
8 Kevin Garnett 1284 328 2268
9 G. Arenas 1383 288 2247
10 Mike Bibby 1134 367 2235