Baseball Musings
Baseball Musings
March 04, 2007
Updated Probabilities

In reading the comments and taking a second look at the probability of various players reaching 500 AB, I decided to change the calculation. I went back to see how 2006 was predicted. The top nine players in the list all had probabilities around .5, meaning half of them should have reached 500 at bats, and half failed. All of them, however, reached the mark. (And eight of them ended up on the top ten list for their league.)

So I changed the weighting of the two probability distributions, giving the previous season's at bats 75% of the weight and age just 25%. This spread out the high end of the probabilities. It also made the low end more interesting. If you look at the 2006 data below, you'll see there are about 100 players who's probability of reaching 500 at bats rounds to .05. That means, of those 100 players, we'd expect 5 to reach that level of playing time. Eyeballing the list, I came up with five names that I think will reach 500 at bats in 2007:

  • Gary Sheffield
  • Hideki Matsui
  • Stephen Drew
  • James Loney
  • Derrek Lee

All in all, this looks like a better list than the original. As always, your comments are welcome.

Probability of Reaching at Least 500 At Bats in 2007
Juan Pierre69290.764
Michael Young69300.762
Ichiro Suzuki69330.760
Jimmy Rollins68280.720
Miguel Tejada64310.675
Alfonso Soriano64310.675
Rafael Furcal65290.664
Chase Utley65280.662
Jose Reyes64240.656
Grady Sizemore65240.650
Jeff Francoeur65230.647
Mark Loretta63350.639
Hanley Ramirez63230.631
Carlos Lee62310.602
Mark Teixeira62270.600
Adrian Beltre62280.599
Gary Matthews62320.598
Vladimir Guerrero60310.597
Derek Jeter62330.596
Chone Figgins60290.596
Matt Holliday60270.594
Garrett Atkins60270.594
Pedro Feliz60320.593
Orlando Cabrera60320.593
Melvin Mora62350.588
Raul Ibanez62350.588
Dan Uggla61270.584
Felipe Lopez61270.584
Carl Crawford60250.584
Vernon Wells61280.584
Brian Giles60360.579
Edgar Renteria59310.576
Jose Lopez60230.575
Aramis Ramirez59290.575
Chad Tracy59270.573
Richie Sexson59320.572
Magglio Ordonez59330.570
Johnny Damon59330.570
Hank Blalock59260.569
Justin Morneau59260.569
Curtis Granderson59260.569
Ryan Zimmerman61220.560
Lyle Overbay58300.556
Luis Castillo58310.555
Freddy Sanchez58290.554
Ryan Howard58270.553
David Wright58240.537
Luis Gonzalez58390.528
Alex Rodriguez57310.526
Orlando Hudson57290.525
Jason Bay57280.523
Victor Martinez57280.523
Randy Winn57330.520
Mike Lowell57330.520
Adrian Gonzalez57250.513
Miguel Cabrera57240.507
Omar Vizquel57400.490
Andruw Jones56300.487
Paul Konerko56310.486
Eric Byrnes56310.486
Brian Roberts56290.485
Adam Dunn56270.484
Kevin Youkilis56280.483
Jhonny Peralta56250.474
David Ortiz55310.472
Torii Hunter55310.472
Juan Encarnacion55310.472
Marcus Giles55290.471
Mike Cuddyer55280.469
Tadahito Iguchi55320.468
Jason Kendall55330.466
Nick Swisher55260.466
Prince Fielder56230.465
Jay Payton55340.462
Mike Cameron55340.462
Yuniesky Betancourt55250.460
Brandon Inge54300.443
Troy Glaus54300.443
Craig Monroe54300.443
Carlos Guillen54310.442
Jack Wilson54290.441
Joe Crede54290.441
Ron Belliard54320.438
Bobby Abreu54330.436
Todd Helton54330.436
Aaron Hill54250.430
Garret Anderson54350.428
Ivan Rodriguez54350.428
Mark Grudzielanek54370.420
Lance Berkman53310.419
Shea Hillenbrand53310.419
Austin Kearns53270.416
Albert Pujols53270.416
Bill Hall53270.416
Jacque Jones53320.416
Jermaine Dye53330.414
Brandon Phillips53260.412
Shawn Green53340.409
Ronny Cedeno53240.400
Josh Barfield53240.400
Craig Biggio54410.400
Scott Podsednik52310.382
Mark DeRosa52320.378
Emil Brown52320.378
Scott Rolen52320.378
Carlos Beltran51300.371
Adam Everett51300.371
Willy Taveras52250.369
Carlos Delgado52350.368
Jose Castillo51260.363
Joe Mauer52240.363
Paul Lo Duca51350.356
A.J. Pierzynski50300.344
Ramon Hernandez50310.342
Kenji Johjima50310.342
Mark Kotsay50310.342
Josh Willingham50280.340
Nick Johnson50280.340
David Eckstein50320.339
Preston Wilson50320.339
David Bell50340.333
Jason Michaels49310.329
J.D. Drew49310.329
Adam LaRoche49270.327
David DeJesus49270.327
Brad Hawpe49280.326
Dave Roberts49350.315
Ray Durham49350.315
Jim Thome49360.312
Nick Markakis49230.308
Eric Chavez48290.296
Geoff Jenkins48320.293
Pat Burrell46300.290
Reed Johnson46300.290
Placido Polanco46310.289
Juan Uribe46270.286
Corey Patterson46270.286
Xavier Nady46280.286
Jose Vidro46320.285
Conor Jackson48250.285
Nomar Garciaparra46330.283
Jamey Carroll46330.283
Mike Jacobs46260.282
Robinson Cano48240.279
Jorge Posada46350.275
Melky Cabrera46220.262
Frank Thomas46390.262
Jeff Conine48410.257
Kenny Lofton46400.253
Angel Berroa47290.253
Clint Barmes47280.250
Aaron Miles42300.243
Ben Broussard43300.241
Julio Lugo43310.239
Aubrey Huff45300.237
Travis Hafner45300.237
Miguel Olivo43280.237
Bengie Molina43320.237
Adam Kennedy45310.236
Ryan Freel45310.236
Nick Punto45290.235
Frank Catalanotto43330.234
Mark Ellis44300.233
Kevin Mench44290.231
Ty Wigginton44290.231
Ian Kinsler42250.230
Juan Rivera44280.229
Alexis Rios45260.229
Kevin Millar43350.226
Ronny Paulino44260.226
Aaron Rowand40290.225
Matt Murton45250.224
Todd Walker44340.223
Tony Graffanino45350.222
Ken Griffey42370.221
Rich Aurilia44350.220
Manny Ramirez44350.220
Casey Blake40330.220
Bernie Williams42380.219
Jose Bautista40260.219
Brad Ausmus43380.217
Jason Giambi44360.216
Scott Hatteberg45370.214
Royce Clayton45370.214
Brian McCann44230.212
Edwin Encarnacion40240.207
Alex Gonzalez38300.202
Morgan Ensberg38310.202
Mike Lamb38310.202
Cory Sullivan38270.200
Jeff Kent40390.198
Trot Nixon38330.197
Joey Gathright38260.195
Jonny Gomes38260.195
Brian Schneider41300.193
Johnny Estrada41310.192
Coco Crisp41270.190
Khalil Greene41270.190
Steve Finley42420.189
Sean Casey39320.186
Shane Victorino41260.185
Brady Clark41340.183
Jose Valentin38370.182
Jorge Cantu41250.181
Chipper Jones41350.180
Andre Ethier39250.177
Mark Teahen39250.177
Marco Scutaro36310.176
Russell Martin41240.174
Yadier Molina41240.174
Chris Burke36270.174
Phil Nevin39360.173
Craig Wilson35300.168
Mike Piazza39380.167
Michael Barrett37300.166
Endy Chavez35290.165
Milton Bradley35290.165
Rocco Baldelli36250.164
Brian N. Anderson36250.164
Bobby Crosby35270.164
Hector Luna35270.164
Jason Varitek36350.164
Chris Shelton37270.162
Maicer Izturis35260.159
John Buck37260.158
Aaron Boone35340.156
Wilson Betemit37250.153
Craig Counsell37360.149
Rickie Weeks35240.148
Jay Gibbons34300.146
Marcus Thames34300.146
Jim Edmonds35370.146
Rod Barajas34310.145
Travis Lee34320.141
Brad Wilkerson32300.140
Abraham Nunez32310.138
Javy Lopez34360.130
Barry Bonds36420.126
Alfredo Amezaga33290.125
Jason Bartlett33270.124
Damon Hollins33330.122
Matt Stairs34390.117
Cliff Floyd33340.117
Moises Alou34400.115
Rondell White33350.114
John McDonald26320.113
Bobby Kielty27300.113
Ryan Langerhans31270.112
Chris Duffy31270.112
David Dellucci26330.111
Toby Hall27310.111
Cody Ross26260.110
Eric Hinske27290.110
Esteban German27290.110
Reggie Sanders32390.110
Doug Mientkiewicz31330.109
Damian Miller33370.107
Marlon Anderson27330.106
Mike Napoli26250.105
Rob Mackowiak25310.104
Matt Diaz29290.103
Willie Bloomquist25290.103
Scott Spiezio27340.101
Geoff Blum27340.101
Mark Bellhorn25320.101
Chris Woodward22310.099
Wily Mo Pena27250.098
Nate McLouth27250.098
Brandon Fahey25260.097
Russ Adams25260.097
Reggie Abercrombie25260.097
Jeff Cirillo26370.097
Howie Kendrick26230.097
Dioner Navarro26230.097
Yorvit Torrealba22280.097
Jose Molina22320.097
Jason Lane28300.096
Greg Norton29340.096
Jeff Davanon22330.095
Miguel Cairo22330.095
Jose Cruz22330.095
So Taguchi31370.095
Neifi Perez30340.095
Corey Koskie25340.094
Jeromy Burnitz31380.093
Dan Johnson28270.092
Eliezer Alfonzo28280.091
Alex Cintron28280.091
Robb Quinlan23300.091
Lew Ford23300.091
Alex Cora23310.091
Juan Castro25350.091
Todd Hollandsworth22340.090
Carl Everett30360.090
Gregg Zaun29360.089
Chris Duncan28260.088
Omar Infante22250.087
Jason Kubel22250.087
Joe Borchard23280.086
Jeremy Hermida30230.085
Mark Sweeney25370.083
Vinny Castilla27390.083
Shane Costa23250.080
Corey Hart23250.080
Marlon Byrd19290.079
Cesar Izturis19270.079
Jason Smith9290.079
Ryan Church19280.078
Lance Niekro19280.078
Jason Tyner21300.078
Jason LaRue19330.077
Antonio Perez9270.077
J.D. Closser9270.077
Nook Logan9270.077
Chris Aguila9280.076
Chad Moeller9320.075
Luke Scott21290.075
Eric Bruntlett11290.074
Bernie Castro11270.074
Luis Rodriguez11270.074
Kelly Shoppach11270.074
Skip Schumaker5270.074
Darin Erstad9330.074
Eli Marrero9330.074
Jorge Piedra5280.073
Rob Bowen9260.073
Fernando Tatis5320.073
Nick Green11280.073
Chris Coste19340.073
Mike Sweeney21330.073
Jeremy Reed21260.072
Damian Jackson11330.072
Dave Ross24300.071
Andy Phillips24300.071
Henry Mateo2300.071
Russell Branyan24310.071
Wes Helms24310.071
Jose Guillen24310.071
Kazuo Matsui24310.071
George Lombard2310.070
Josh Bard24290.070
Ryan Spilborghs16270.070
Jason Botts5260.070
Jeff Salazar5260.070
Jeff Baker5260.070
Dallas McPherson11260.070
Gerald Laird24270.069
Larry Bigbie2290.069
Tomas Perez24330.068
John Hattig2270.068
Humberto Quintero2270.068
Mike Rouse2270.068
Adam Stern2270.068
Chris Snelling9250.068
Kevin Frandsen9250.068
Randall Simon2320.067
Greg Dobbs2280.067
Eddie Rogers2280.067
Matt LeCroy6310.067
Kevin Witt6310.067
Ramon Vazquez6300.067
Paul Phillips6300.067
Jason Phillips4300.067
Dustan Mohr4310.066
Brandon Harper4310.066
Chris Roberson4270.065
Luis Terrero4270.065
Javier Valentin18310.065
Kevin Kouzmanoff5250.064
Willie Harris4290.064
Pablo Ozuna18320.064
John Rodriguez18290.064
Henry Blanco24350.064
Kendry Morales19240.064
Shawn Riggans2260.064
Sean Burroughs2260.064
Chris Widger9360.064
Josh Rabe4280.063
Terry Tiffee4280.063
John Mabry21360.063
Gabe Kapler13310.063
Kerry Robinson6330.063
Carlos Ruiz6280.062
Jeff Keppinger6270.062
Raul Chavez2340.061
Ryan Theriot13270.061
Freddie Bynum13270.061
Ben Zobrist18260.061
Ryan Garko18260.061
Chris Snyder18260.061
Laynce Nix6260.060
Matt Treanor15310.060
Ross Gload15310.060
Ray Olmedo4260.060
Eric Reed4260.060
Reggie Willits4260.060
Tony Pena4260.060
Brendan Harris4260.060
Terrmel Sledge7300.060
Luis Matos13280.060
Bubba Crosby8300.060
Alexis Gomez10280.060
Humberto Cota10280.060
Michael Tucker5360.059
Rene Rivera9230.059
Joe Inglett20290.059
Kelly Stinnett9370.059
Daryle Ward13320.059
Mike Matheny16360.058
David Newhan13330.058
David Murphy2250.058
Brandon Watson2250.058
Jeff Mathis5240.058
Matt Lawton2350.058
Mike Rivera14300.058
Ryan Shealy20270.058
Gabe Gross20270.058
Sal Fasano18350.058
Andy Green8290.058
Jason Ellison8290.058
D'Angelo Jimenez7290.057
Nelson Cruz13260.057
Jason Repko13260.057
Willy Aybar24240.057
Chris Denorfia10260.057
Carlos Quentin16240.057
Pete Orr15280.057
Eric Munson14290.056
Josh Paul14320.056
Oscar Robles3310.056
Terrence Long3310.056
Quinton McCracken5370.056
Tommy Murphy7270.056
Todd Linden7270.056
Mike Edwards1300.056
Alex Escobar8280.056
Orlando Palmeiro11380.055
Tony Womack6370.055
Ramon Santiago8270.055
Chris Barnwell3280.055
Norris Hopper3280.055
Danny Sandoval3280.055
Mike Morse4250.055
Brayan Pena4250.055
Miguel Ojeda8320.055
Andy Marte16230.054
Luis A. Gonzalez14280.054
Dewayne Wise3290.054
Carlos Pena3290.054
Tim Salmon21380.054
Aaron Guiel13340.054
Troy Tulowitzki9220.054
Eduardo Perez18370.054
Damion Easley18370.054
Kevin Thompson3270.054
Roberto Petagine2360.054
Kevin Barker1310.054
Hiram Bocachica1310.054
Doug Mirabelli18360.054
Ryan Doumit14260.053
Adrian Brown3330.053
Wiki Gonzalez3330.053
Timo Perez3320.053
Vance Wilson15340.053
Geovany Soto2240.053
Josh Fields2240.053
Ricky Ledee8330.053
Edgardo Alfonzo8330.053
Matt Cepicky1290.052
Mike Vento1290.052
Kevin Reese1290.052
Tomas de la Rosa1290.052
John Gall1290.052
Adam Lind6230.052
Anderson Hernandez6240.052
Mike Rose0300.052
Kevin Hooper0300.052
Robby Hammock0300.052
Joe Thurston1270.052
Vinny Rottino1270.052
T.J. Bohn1270.052
Scott Hairston1270.052
Jeremy Brown1270.052
Bill Mueller10360.051
Michael Restovich1280.051
Carlos Maldonado1280.051
Paul Hoover0310.050
Doug Clark0310.050
Corky Miller0310.050
Luis Ordaz0310.050
Tony Clark13350.050
Alberto Callaspo4240.050
Robert Andino2230.050
Angel Sanchez2230.050
Travis Ishikawa2230.050
Wil Nieves0290.050
Justin Leone0290.050
Mike Difelice2380.049
Curtis Pride2380.049
Mike Lieberthal20350.049
Lastings Milledge16220.049
Charlton Jimerson0270.048
Mike Rabelo0270.048
Jack Hannahan0270.048
J.R. House0270.048
Yurendell DeCaster0270.048
Paul Bako15350.048
Gary Bennett15350.048
Omar Quintanilla3250.048
Andy Cannizaro0280.047
Jon Knott0280.047
John Nelson0280.047
Jack Cust0280.047
Stephen Drew20240.047
Paul McAnulty1260.047
Dan Ortmeier1260.047
Fred Lewis1260.047
Rajai Davis1260.047
Ryan Roberts1260.047
Martin Prado4230.047
Erick Aybar4230.047
Franklin Gutierrez13240.047
Derrek Lee17310.047
Jerry Hairston17310.047
Brian Jordan9400.047
Chris Heintz0320.046
James Loney10230.046
Luis Figueroa0330.046
Howie Clark0330.046
Gary Sheffield15380.046
Chris Gomez13360.046
Justin Knoedler0260.046
Freddy Guzman0260.046
Jerry Owens0260.046
Chad Santos0260.046
Drew Anderson0260.046
Shin-Soo Choo15240.045
Choo Freeman17270.045
Alex Gonzalez3340.045
Jose Hernandez15370.045
Shannon Stewart17330.045
Dmitri Young17330.045
Hideki Matsui17330.045
Tony Batista17330.045
Manny Alexander3360.045
Joe Randa20370.045
Chris Iannetta7240.044
Casey Kotchman7240.044
Tony Gwynn7240.044
Chris Young7230.044
Todd Greene15360.044
Dustin Pedroia8230.043
Andres Blanco8230.043
J.T. Snow4390.042
Jeff Fiorentino3240.042
Mitch Maier1250.042
Drew Meyer1250.042
Buck Coats1250.042
Victor Diaz1250.042
Melvin Dorta1250.042
Chad Mottola1350.042
Andy Abad0340.042
Einar Diaz0340.042
Joe McEwing0340.042
Angel Pagan17250.041
Ramon Castro12310.041
Scott Moore3230.041
Brent Clevlen3230.041
Jose Vizcaino14390.041
Alvin Colina0250.040
Guillermo Quiroz0250.040
Chris Stewart0250.040
Delwyn Young0250.040
Lou Merloni1360.039
Danny Ardoin12320.039
Ramon Martinez17340.039
Olmedo Saenz17360.039
Mike Redmond17360.039
Matt Kemp15220.039
Robert Fick12330.038
Adam Hyzdu0350.038
Tim Laker1370.037
Jason Wood1370.037
Justin Huber1240.037
Ben Johnson12260.037
Todd Pratt13400.036
Eric Young13400.036
Ryan Sweeney3220.036
Adam Melhuse12350.036
Adam Jones7210.036
Miguel Montero1230.035
Scott Thorman12250.035
Jose Reyes0240.034
Hector Gimenez0240.034
Michael Bourn0240.034
Sandy Alomar10410.033
Ken Huckaby0360.033
Ryan Klesko0360.033
B.J. Upton17220.033
Ruben Sierra2410.031
Julio Franco16480.031
J.J. Hardy12240.031
Joaquin Arias1220.030
Joel Guzman1220.030
Alexi Casilla0220.027
Oswaldo Navarro0220.027
Delmon Young12210.025

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Posted by David Pinto at 12:27 PM | Predictions | TrackBack (0)
Comments

this list looks better to me. just eyeballing the old one, i thought the probabilities looked on the low side, especially at the top.

Posted by: amos at March 4, 2007 01:20 PM

Thanks for the efforts.

I feel a bit sheepish but I think plate appearances, rather than at bats, would be more valuable to track/forecast.

Posted by: Basura at March 4, 2007 07:31 PM

Basura, my feelings exactly.

Posted by: Nick at March 4, 2007 08:20 PM
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