Fair enough. This is measuring how effective each player has been as a playmaker this season, rather than attempting to predict how effective each player would be given the same number of touches. Since the efficiency of players will drop at different rates relative to an increase in usage and how the player's role changes (reflecting different "skill curves", to use BOP terminology), trying to predict whether Lin would be a more effective playmaker than Harden given similar number of touches is actually pretty difficult. If you like, you can provide Lin's adjusted numbers, and I'll plug them into my formula and share the resulting rating. Just acknowledge that whatever numbers you come up with is speculative and not factual. <hr> Update: One way to address your criticism is to convert the rating from a production statistic to an efficiency statistic. So, instead of: PLM_RTG = K * (3*PLM - PLX) It would be: PLM% = PLM / PLA In this case, scaling up all the "usage" boxscore stats (FGM, FGA, FTM, FTA, AST, TOV) will have pretty much no impact on PLM%. Here are PLM% stats for main rotation Rockets players this season: Code: [size=1] [B]Player Name Pos GP MPG %Ast PLM PLA PLM_RTG PLM%[/B] James Harden SG 16 38.7 29.9 177.8 420.3 6.4 0.423 Jeremy Lin PG 16 34.4 42.4 113.1 288.3 3.3 0.392 Chandler Parsons SF 15 38.2 69.3 58.7 166.5 0.6 0.353 Toney Douglas PG 15 15.6 58.3 31.1 101.1 -1.2 0.308 Carlos Delfino SF 9 23.0 81.5 17.2 57.9 -1.1 0.297 Marcus Morris PF 16 20.7 63 19.0 70.4 -1.5 0.270 Patrick Patterson PF 15 30.2 75.8 21.9 87.0 -1.8 0.252 Omer Asik C 16 32.8 67.2 16.3 96.0 -3.5 0.170 [/size] The problem with Lin this season is that he's simply been inefficient. I would not expect this playmaking efficiency to get better with increased usage, regardless of what he did last year. Here are the results for all players playing 20 MPG: Code: [size=1] [B] Player Name Tm Pos GP Min MPG %Ast PLM PLA PLM_RTG PLM%[/B] 1 Chris Paul LAC PG 17 580 34.1 22.7 202.1 414.9 11.9 0.487 2 Tony Parker SAS PG 16 520 32.5 30.6 173.2 371.3 10.1 0.466 3 Rajon Rondo BOS PG 14 517 36.9 30.8 177.7 382.1 10.5 0.465 4 LeBron James MIA SF 15 560 37.3 41.1 158.1 344.1 8.4 0.459 5 Kobe Bryant LAL SG 17 631 37.1 30.3 205.1 452.4 9.2 0.453 6 Jason Kidd NYK PG 12 313 26.1 75.9 34.7 76.9 3.2 0.451 7 Jarrett Jack GSW PG 17 429 25.2 31.8 104.5 232.4 6.7 0.450 8 Goran Dragic PHO PG 18 568 31.6 33.7 153.3 343.3 7.3 0.447 9 Darren Collison DAL PG 16 517 32.3 30.6 134.3 302.5 6.8 0.444 10 Mike Conley Jr. MEM PG 14 478 34.1 36 120.4 271.4 6.7 0.444 11 Dwyane Wade MIA SG 12 404 33.7 41.3 102.4 232.3 6.7 0.441 12 Jeff Teague ATL PG 14 432 30.9 22.7 130.9 298.7 7.8 0.438 13 Louis Williams ATL SG 14 341 24.4 34.9 87.4 199.8 6.6 0.437 14 Nate Robinson CHI PG 15 315 21.0 27.7 89.2 205.2 7.2 0.435 15 Jrue Holiday PHI PG 17 653 38.4 19.7 217.2 500.0 8.5 0.434 16 George Hill IND PG 17 600 35.3 34.8 129.8 302.6 5.3 0.429 17 Kyle Lowry TOR PG 12 374 31.2 32.8 101.3 236.2 6.6 0.429 18 Chuck Hayes SAC PF 16 340 21.3 76 24.9 58.2 1.7 0.427 19 Andre Miller DEN PG 18 451 25.1 33.3 103.5 242.9 5.3 0.426 20 Luke Ridnour MIN PG 15 476 31.7 35.9 93.5 219.4 4.6 0.426 21 Kevin Durant OKC SF 18 703 39.1 58.8 141.7 333.8 4.7 0.424 22 Tyreke Evans SAC PG 14 454 32.4 33.8 97.6 230.0 5.0 0.424 23 Russell Westbrook OKC PG 18 644 35.8 21.6 228.7 539.4 8.2 0.424 24 James Harden HOU SG 16 619 38.7 29.9 177.8 420.3 6.3 0.423 25 Deron Williams BKN PG 16 574 35.9 35.8 165.0 390.3 6.8 0.423 26 Greivis Vasquez NOR PG 16 524 32.8 26.3 160.8 381.6 7.3 0.421 27 J.R. Smith NYK SG 16 531 33.2 38 88.7 212.0 3.8 0.418 28 Jose Calderon TOR PG 18 512 28.4 69.2 109.2 261.5 4.7 0.418 29 Damian Lillard POR PG 18 678 37.7 26.5 180.0 431.9 5.8 0.417 30 Mo Williams UTH PG 15 497 33.1 42.2 120.9 290.3 5.3 0.417 31 Raymond Felton NYK PG 16 532 33.3 33.3 140.0 338.5 5.7 0.414 32 Kemba Walker CHA PG 16 582 36.4 32 144.7 350.1 5.1 0.413 33 Evan Turner PHI SF 17 587 34.5 47.8 100.8 245.0 3.6 0.411 34 Ray Allen MIA SG 15 402 26.8 64.6 48.0 116.9 2.4 0.411 35 Ramon Sessions CHA PG 16 463 28.9 41.8 118.9 290.1 5.1 0.410 36 Stephen Curry GSW PG 17 629 37.0 38.2 156.2 382.7 4.9 0.408 37 DeMar DeRozan TOR SG 18 671 37.3 44.4 107.3 265.0 3.1 0.405 38 Brandon Jennings MIL PG 16 577 36.1 42.9 133.0 328.7 4.3 0.405 39 Aaron Brooks SAC PG 16 357 22.3 30.6 55.3 136.9 3.0 0.404 40 Marc Gasol MEM C 15 547 36.5 70.2 64.5 159.8 2.2 0.403 41 Jamal Crawford LAC SG 17 492 28.9 53.1 83.8 209.7 3.1 0.400 42 Boris Diaw SAS C 18 434 24.1 73.2 35.4 88.6 1.4 0.400 43 Jamaal Tinsley UTH PG 16 326 20.4 56.3 65.6 164.6 3.6 0.399 44 Carmelo Anthony NYK SF 16 569 35.6 39.5 124.3 315.4 3.7 0.394 45 Jeremy Lin HOU PG 16 550 34.4 42.4 113.1 288.3 3.2 0.392 46 Tim Duncan SAS PF 17 533 31.4 66.7 69.2 177.1 2.0 0.390 47 Mario Chalmers MIA PG 15 388 25.9 60.5 60.7 156.0 2.4 0.389 48 Jeremy Pargo CLE PG 11 290 26.4 31.3 65.0 167.1 3.4 0.389 49 J.J. Redick ORL SG 16 484 30.3 79.2 77.5 199.8 2.4 0.388 50 A.J. Price WAS PG 14 414 29.6 34.8 78.7 203.2 2.9 0.387 51 Shannon Brown PHO PG 18 431 23.9 39.7 80.6 208.3 2.8 0.387 52 O.J. Mayo DAL SG 17 590 34.7 58.8 93.4 241.6 2.3 0.387 53 Alexey Shved MIN PG 15 365 24.3 43.1 71.4 185.3 2.9 0.386 54 Ty Lawson DEN PG 18 649 36.1 39.6 148.5 385.2 3.3 0.385 55 Kevin Martin OKC SG 18 537 29.8 68.6 62.8 163.1 1.7 0.385 56 Kirk Hinrich CHI SG 14 378 27.0 41.4 73.0 189.9 2.8 0.384 57 Brandon Knight DET PG 19 596 31.4 46.5 126.4 329.2 3.0 0.384 58 Devin Harris ATL PG 12 262 21.8 53.3 36.8 96.0 2.0 0.383 59 Manu Ginobili SAS SG 15 368 24.5 56.9 76.4 199.7 2.8 0.382 60 Jordan Crawford WAS SG 14 344 24.6 32.4 82.1 215.0 3.3 0.382 61 Monta Ellis MIL PG 16 560 35.0 49.1 125.8 329.7 3.0 0.382 62 Joe Johnson BKN SG 16 602 37.6 47.9 95.3 249.8 2.2 0.381 63 Ben Gordon CHA SG 14 355 25.4 53.4 66.6 174.8 2.5 0.381 64 Rodney Stuckey DET PG 18 505 28.1 48.3 81.9 215.2 2.2 0.381 65 Gary Neal SAS PG 16 385 24.1 50.7 59.3 156.0 2.0 0.380 66 Paul Pierce BOS SF 17 574 33.8 60.8 97.4 256.5 2.2 0.380 67 Tayshaun Prince DET SF 19 618 32.5 64.2 65.4 172.3 1.4 0.380 68 Jason Terry BOS SG 17 479 28.2 76.8 48.1 127.0 1.3 0.379 69 LaMarcus Aldridge POR PF 17 656 38.6 50.3 104.4 277.1 2.0 0.377 70 Vince Carter DAL SG 17 399 23.5 48.7 63.0 168.6 1.8 0.374 71 Blake Griffin LAC PF 17 565 33.2 59 84.9 228.7 1.7 0.371 72 Andre Iguodala DEN SG 18 634 35.2 52.9 97.3 262.5 1.6 0.371 73 Wesley Matthews POR SG 18 676 37.6 60.4 78.4 211.7 1.3 0.370 74 Carl Landry GSW PF 17 453 26.6 48.8 44.7 121.1 1.0 0.369 75 Dion Waiters CLE SG 17 545 32.1 35.5 111.3 302.1 2.1 0.368 76 David West IND PF 17 583 34.3 61.8 71.8 196.4 1.2 0.365 77 Al Jefferson UTH C 19 634 33.4 52.2 79.5 218.8 1.1 0.363 78 Lance Stephenson IND SG 17 423 24.9 70 43.7 120.2 0.9 0.363 79 John Salmons SAC SG 11 287 26.1 62.1 26.8 74.4 0.7 0.360 80 Roger Mason Jr. NOR SG 16 333 20.8 73.3 24.0 67.4 0.5 0.356 81 Danilo Gallinari DEN SF 17 571 33.6 52.8 77.6 219.2 0.8 0.354 82 Rudy Gay MEM SF 15 548 36.5 46.3 84.8 240.3 0.9 0.353 83 Chandler Parsons HOU SF 15 573 38.2 69.3 58.7 166.5 0.6 0.353 84 E'Twaun Moore ORL SG 17 450 26.5 44.9 70.9 201.2 0.9 0.352 85 Martell Webster WAS SF 13 278 21.4 68.8 24.6 70.1 0.5 0.351 86 Glen Davis ORL PF 17 545 32.1 51.8 73.7 211.6 0.6 0.348 87 Harrison Barnes GSW SF 17 473 27.8 56.3 44.0 126.5 0.4 0.348 88 Arron Afflalo ORL SF 17 588 34.6 65.1 70.4 204.2 0.4 0.345 89 Jonas Valanciunas TOR C 18 431 23.9 51.5 36.9 108.0 0.2 0.342 90 Austin Rivers NOR SG 15 410 27.3 40.6 55.1 161.2 0.4 0.342 91 Randy Foye UTH PG 19 494 26.0 74.3 47.6 139.4 0.3 0.342 92 Mike Dunleavy MIL SF 15 405 27.0 78.9 35.7 104.5 0.2 0.341 93 Daniel Gibson CLE SG 15 365 24.3 85.7 28.7 84.4 0.2 0.340 94 Brook Lopez BKN C 14 417 29.8 61.3 43.7 129.0 0.2 0.339 95 Anderson Varejao CLE C 17 623 36.6 68.6 38.7 115.0 0.1 0.337 96 Alonzo Gee CLE SF 18 595 33.1 44.7 72.5 215.4 0.1 0.337 97 Kendrick Perkins OKC C 18 454 25.2 65 23.2 69.1 0.0 0.336 98 Nicolas Batum POR SF 18 709 39.4 62.3 76.9 230.2 0.0 0.334 99 Marcus Thornton SAC SG 16 462 28.9 65.9 46.3 138.7 0.0 0.334 100 Quincy Pondexter MEM SF 15 345 23.0 71.9 21.6 64.8 0.0 0.333 101 M. Kidd-Gilchrist CHA SF 16 436 27.3 56.9 40.1 120.4 0.0 0.333 102 Nick Young PHI SG 16 372 23.3 67.9 35.9 108.4 -0.1 0.332 103 Kevin Garnett BOS PF 17 492 28.9 78.3 45.0 136.1 -0.1 0.331 104 Luis Scola PHO PF 18 485 26.9 57.9 50.9 153.8 -0.1 0.331 105 Greg Monroe DET C 19 632 33.3 55.5 88.0 268.0 -0.2 0.329 106 Michael Beasley PHO SF 18 498 27.7 37.6 83.6 254.5 -0.3 0.328 107 Andrei Kirilenko MIN SF 13 473 36.4 68.3 41.5 126.6 -0.2 0.328 108 Jason Thompson SAC PF 16 489 30.6 57.4 29.4 89.8 -0.1 0.327 109 Thabo Sefolosha OKC SG 18 499 27.7 82.6 27.4 84.4 -0.2 0.325 110 DeMarcus Cousins SAC C 14 414 29.6 37.8 67.4 207.8 -0.5 0.324 111 Thaddeus Young PHI SF 17 605 35.6 67 40.2 124.9 -0.3 0.322 112 Marvin Williams UTH PF 16 445 27.8 75 27.9 87.0 -0.3 0.321 113 Al Horford ATL C 13 475 36.5 77.2 38.0 119.8 -0.4 0.318 114 Darius Morris LAL PG 15 334 22.3 53.1 37.1 117.5 -0.6 0.316 115 David Lee GSW PF 17 636 37.4 73.2 62.1 197.7 -0.6 0.314 116 Gordon Hayward UTH SG 19 537 28.3 71.1 54.4 173.3 -0.7 0.314 117 Paul George IND SF 17 590 34.7 63.5 69.1 220.0 -0.8 0.314 118 Metta World Peace LAL SF 17 606 35.6 67.6 49.8 158.9 -0.5 0.314 119 Jeff Green BOS PF 17 369 21.7 57.1 35.6 113.6 -0.7 0.314 120 Josh Smith ATL SF 13 455 35.0 62.6 60.5 193.3 -0.9 0.313 121 Luol Deng CHI SF 15 610 40.7 68.3 55.2 176.8 -0.7 0.312 122 Joakim Noah CHI C 15 585 39.0 64 49.2 158.0 -0.6 0.311 123 Ronnie Brewer NYK SF 16 364 22.8 77.3 17.9 57.9 -0.4 0.310 124 Jason Richardson PHI SG 13 378 29.1 69.4 26.6 86.1 -0.6 0.309 125 Paul Millsap UTH PF 19 582 30.6 62.1 55.9 181.2 -0.8 0.309 126 Chris Kaman DAL C 15 406 27.1 64.4 36.0 117.6 -0.8 0.306 127 Pau Gasol LAL PF 17 592 34.8 72.6 50.6 166.0 -0.9 0.305 128 Carlos Boozer CHI PF 15 443 29.5 59.1 45.6 149.8 -1.1 0.304 129 Chris Bosh MIA C 15 507 33.8 75 33.4 109.8 -0.7 0.304 130 Jae Crowder DAL SF 16 323 20.2 78 22.1 72.9 -0.7 0.303 131 Courtney Lee BOS SG 17 422 24.8 69.8 27.7 91.9 -0.8 0.301 132 Jared Dudley PHO SG 18 465 25.8 80.3 28.0 94.9 -0.8 0.295 133 Andrea Bargnani TOR C 17 587 34.5 67.3 54.9 186.3 -1.3 0.295 134 Robin Lopez NOR C 16 441 27.6 65.8 26.0 88.3 -0.9 0.294 135 Ekpe Udoh MIL PF 16 355 22.2 55.9 17.8 60.9 -0.7 0.293 136 Kyle Singler DET SF 19 519 27.3 78.9 24.2 84.0 -0.8 0.288 137 Ryan Anderson NOR PF 16 525 32.8 70.5 32.7 116.6 -1.3 0.280 138 Bradley Beal WAS SG 14 387 27.6 67.3 35.5 126.7 -1.9 0.280 139 Markieff Morris PHO PF 18 389 21.6 61.2 30.0 107.5 -1.6 0.279 140 Marcin Gortat PHO C 18 562 31.2 64.4 29.9 107.2 -1.1 0.279 141 Tony Allen MEM SG 13 318 24.5 65.8 19.7 70.7 -1.3 0.278 142 Kyle Korver ATL SG 13 381 29.3 93.6 16.6 59.7 -0.9 0.278 143 Nikola Pekovic MIN C 14 409 29.2 60.3 30.1 108.4 -1.6 0.278 144 Klay Thompson GSW SG 17 595 35.0 72.4 54.2 195.7 -2.0 0.277 145 Shawn Marion DAL SF 12 348 29.0 84.4 23.5 84.9 -1.5 0.276 146 Amir Johnson TOR PF 18 364 20.2 72 15.7 57.2 -1.0 0.274 147 Richard Hamilton CHI SG 15 405 27.0 90.1 33.6 122.9 -2.0 0.273 148 Dwight Howard LAL C 17 615 36.2 66.1 40.4 149.3 -1.6 0.270 149 Marcus Morris HOU PF 16 331 20.7 63 19.0 70.4 -1.4 0.270 150 Elton Brand DAL PF 16 358 22.4 65.9 21.0 78.4 -1.5 0.268 151 Trevor Ariza WAS SF 14 360 25.7 69.8 26.7 100.8 -2.1 0.265 152 Zaza Pachulia ATL PF 14 343 24.5 61.1 16.3 62.0 -1.4 0.263 153 DeShawn Stevenson ATL SG 11 282 25.6 87.5 9.5 36.4 -1.0 0.261 154 Zach Randolph MEM PF 15 543 36.2 53.7 35.7 140.5 -2.2 0.254 155 Patrick Patterson HOU PF 15 453 30.2 75.8 21.9 87.0 -1.6 0.252 156 J.J. Hickson POR C 17 485 28.5 49.3 23.6 95.1 -1.8 0.248 157 Al.Farouq Aminu NOR SF 16 496 31.0 73.9 29.7 119.6 -2.3 0.248 158 Larry Sanders MIL C 16 369 23.1 63.6 15.3 62.1 -1.5 0.247 159 Ersan Ilyasova MIL SF 15 343 22.9 81 17.1 70.0 -1.9 0.244 160 Nikola Vucevic ORL C 17 500 29.4 70.5 25.7 106.9 -2.1 0.241 161 Brandon Bass BOS PF 17 471 27.7 71.2 19.0 78.9 -1.7 0.240 162 Dante Cunningham MIN PF 15 334 22.3 70.4 11.6 48.7 -1.5 0.238 163 Byron Mullens CHA C 16 537 33.6 68.8 30.4 127.7 -2.4 0.238 164 Kevin Seraphin WAS PF 13 317 24.4 62 25.4 107.5 -3.6 0.236 165 Corey Brewer DEN SF 18 412 22.9 77.5 23.1 97.9 -2.5 0.236 166 Derrick Williams MIN PF 12 252 21.0 65 17.9 75.8 -3.2 0.236 167 Jeffery Taylor CHA SF 15 374 24.9 78.3 14.3 60.7 -1.7 0.236 168 Lavoy Allen PHI PF 17 390 22.9 62.2 14.8 63.3 -1.8 0.233 169 Kosta Koufos DEN C 18 390 21.7 82 6.3 28.3 -0.9 0.223 170 Jason Maxiell DET PF 19 512 26.9 71 17.8 80.0 -1.9 0.223 171 Kenneth Faried DEN SF 18 550 30.6 54.2 18.5 83.6 -1.8 0.221 172 DeAndre Jordan LAC C 17 440 25.9 59.5 14.7 67.4 -1.9 0.218 173 Danny Green SAS SG 17 515 30.3 90.3 17.4 80.0 -1.9 0.217 174 Kris Humphries BKN PF 16 394 24.6 72 9.1 41.8 -1.4 0.217 175 Matt Barnes LAC SF 16 406 25.4 78 15.3 71.0 -2.2 0.215 176 Taj Gibson CHI PF 15 317 21.1 80 11.8 55.7 -2.3 0.212 177 Tyson Chandler NYK C 16 472 29.5 62.5 6.6 31.2 -0.9 0.212 178 Emeka Okafor WAS C 14 308 22.0 67.5 11.0 52.4 -2.3 0.210 179 Caron Butler LAC SF 16 394 24.6 90 14.0 68.2 -2.4 0.205 180 Shane Battier MIA SF 13 346 26.6 93.3 7.1 34.5 -1.4 0.205 181 Roy Hibbert IND C 17 495 29.1 46.5 28.2 138.9 -4.0 0.203 182 Steve Novak NYK SF 16 381 23.8 90.9 7.8 38.3 -1.5 0.203 183 Serge Ibaka OKC PF 18 561 31.2 75.9 15.7 78.6 -2.0 0.199 184 Tyler Zeller CLE C 14 309 22.1 76.3 9.4 48.0 -2.3 0.197 185 Dorell Wright PHI SF 17 373 21.9 85 14.5 74.0 -3.0 0.196 186 Tristan Thompson CLE PF 18 551 30.6 56.9 18.5 95.0 -2.5 0.194 187 Brendan Haywood CHA C 15 415 27.7 51.1 10.0 52.0 -1.9 0.192 188 Gerald Green IND SF 17 387 22.8 72.9 14.3 76.7 -3.2 0.187 189 Omer Asik HOU C 16 524 32.8 67.2 16.3 96.0 -3.1 0.170 190 Derrick Favors UTH PF 17 388 22.8 54.5 12.3 77.6 -3.8 0.159 191 Bismack Biyombo CHA PF 14 288 20.6 73.1 1.6 19.5 -1.8 0.083 [/size]
Sorry, this is even worse. Your PLM% has 1.0 * AST_pure in the numerator and 1.8 * AST_pure in the denominator. So you are actually penalizing Lin for having more assists than Harden -- not a good thing to do for a statistic that purports to measure playmaking ability. I'll let you do it. After all, you're the one who's pushing a new definition of "playmaking", not me.
Lin looked like hot dog **** tonight, and Harden was lights out. You're still at it, at least you're consistent though.:grin:
Wrong, again. It seems you're having a little trouble with the math. I'll try to help. If X/Y = Z and S/T = U, where U > Z, then (X + S) / (Y + T) > Z. Substitute PLM for X, PLA for Y, PLM% for Z, 1*(additional assist) for S, 1.8*(additional assist) for T. U in this case will be 55%, which is greater than Z (PLM%) for every player in the league. With each additional assist, therefore, PLM% increases and plateaus at 55%. (proof) Spoiler Proof by contradiction: Suppose: (X + S) / (Y + T) < Z Then: (X + TU) / (X/Z + T) < Z => X + TU < X + TZ => U < Z But we know that U > Z, therefore (X + S) / (Y + T) must be greater than Z.
I have an easier formula, and it's pretty straight forward. X=Lin Y=Harden Wins=W Lost=L W=X-Y L=Y-X. Using this formula, it would appear that we can conclusively agree that every win ratio is associated with Lin but not Harden, and every lost is associated with Harden but not Lin.
I find it extremely interesting that the stat has Kobe Bryant in the top 10 and basically the only SG in the group to make it anywhere near the top. I've never rated him as a play maker and I find it intriguing that no matter how Durvasa cuts the stats his still up the top. I'll have to look at him in a different way now.
Kobe has been extremely efficient in scoring off the dribble this season, and he's getting a lot of free throws as well. My metrics are giving him credit for that. He's not the ball distributor that others near the top are, but he's "making plays" in his own way.
A little snarky, aren't you? Your math is fine as far as it goes, but it doesn't go nearly far enough. An easy way to gain more insight is to use a little freshman calculus. Your formula for PLM% boils down to P = (A + X) / (1.8 * A + Y) where P = PLM% = PLM / PLA A = AST_pure = assists * 0.67 X = the non-assist terms of PLM Y = the non-assist terms of PLA For the purposes of this argument, X and Y are constants. Now differentiate P by A, obtaining dP/dA = (Y - 1.8*X) / (1.8 * A + Y)^2 where b^n means b raised to the n'th power. For large A, dP/dA is approximately C / A^2, where C is a constant equal to (Y - 1.8*X) / 1.8^2. Now my argument is obvious: for large A, each additional assist is worth less than the previous one, at a <b>quadratically declining rate</b>. Lin's assist advantage over Harden counts for little in your formula for PLM%. This is bad; you can't dismiss the better passer when you are attempting to measure playmaking ability. Therefore your formula is wrong. Feel free to fix your equations. I have little motivation to fix them for you, as you are the one who's pushing a new definition of "playmaker" , not me.
I forgot to mention that dP/dA was what I did first of all. I wanted to avoid bringing calculus into the discussion, so I tried to simplify things. My "A versus 1.8*A" argument may have gotten a little garbled, but my conclusions have not changed.
To recap, here were the three criticisms you gave in this thread: (1) A made FG is valued more than an Assist (2) Formula does not account for how often a player has the ball in his hands (3) With every additional assist, the player's rating decreases. All were shown to either be mistaken (1 and 3) or addressed by an alternate formula. From the other thread, you've already stated that "playmaker" is synonymous with "passer". Until the formula is changed to reflect that point of view, I suppose you won't be satisfied. I set forth what I mean when I say "playmaker" in the first post, and I stand by that definition over "playmaker means passer". So, we should agree to disagree, as I see no point in arguing over semantics. <hr> Edit: OK, I'll go ahead and address this. PLM% is an efficiency metric. Similarly, each additional made field goal without a miss adds less and less to a player's FG%. And turning back to PLM%, one could just as well say that every additional made field goal or free throw also is "worth less than the previous one". Such an argument doesn't do much to support your contention that assists are being undervalued.
I have an answer for you but I'm unmotivated to write it up. Comparing Lin to Harden is pointless now when it is painfully obvious. after last night's game against the Mavs, that Lin is being ruined intentionally. If he plays badly, he gets benched. If he plays well, he gets benched even more. There is no way out of this Catch-22 while Morey, McHale, and Lin are all on the team.
I stopped checking the numbers when I read his "definition" of playmaking. Of course, everyone is entitled to their opinion and in MY opinion, this is a wrong way of looking at things.
Good. That's exactly why I made sure to spell out what I mean by "playmaker" first, so if people disagree with it than they don't need to bother with the rest. Kevin Arnowitz of True Hoop appears to agree with my point of view that a playmaker is more than a passer, considering he just referred to Harden as the Rockets' "pure playmaker".