Park-Adjusted Statistics for the MLB

Park-Adjusted Statistics for the MLB

(📸 MLB.com)

The development of sabermetrics in Major League Baseball has coincided with an increased awareness of confounders, one of which is the effect of ballparks and their playing environments. The ubiquitous example is Coors Field in Denver, whose abnormal elevation is known to cause baseballs to travel 5 to 10% farther than at typical sea level. [1] While comprehensive statistics like On-Base Plus Slugging (OPS) and weighted Runs Created (wRC) have spawned improvements that account for such prior knowledge, these principles have yet to be widely applied to traditional box scores. Thus, I set out to develop a subset of “park factors” that can be used to manipulate statistics like batting average and home runs to provide a more level playing field when comparing these measurements between players of varying ballpark conditions.

The Example

Colorado Rockies players often have more scrutinized slash lines and power statistics because of the aforementioned data on the elevation effect. Let’s use home runs in the 2021 regular season as the example of park-adjusted statistics to observe the supposed bottom-line effect in home-run frequency between stadiums. To estimate a ballpark’s effect on home runs among all thirty teams, their home-run frequency (measured as home runs per plate appearance) is compared between home and away games. To include a larger breadth of information, a five-year data set was used. (For 2021, seasons 2017 through 2021 were used to calculate park factors.)

Because the entire league is usually more prone to hit home runs at home than on the road (likely stemming from the home-field advantage), a small adjustment is made to reflect this. Additionally, only half of the measured effect is added to the rating because teams split roughly half of their schedule between home and away games. Therefore, the final measurement we’re left with is the percent increment of a team’s home-run frequency on the road versus at home relative to the league. This park factor can be used on the player level, too. Let’s see how the power-hitting landscape changes when these listed adjustments are applied to MLB batters.

The Results

NB: Traded players occupy multiple rows for each team played for.

NameTeamAdj HRHRLuck
Salvador PerezKCR5548-7
Vladimir Guerrero Jr.TOR46482
Marcus SemienTOR43452
Fernando Tatis Jr.SDP4342-1
Shohei OhtaniLAA43463
Brandon LoweTBR4339-4
Matt OlsonOAK4139-2
Mitch HanigerSEA4139-2
Rafael DeversBOS4038-2
Tyler O’NeillSTL3934-5
Nolan ArenadoSTL3934-5
Pete AlonsoNYM3837-1
Jose RamirezCLE3736-1
Kyle SeagerSEA3735-2
Aaron JudgeNYY36393
Mike ZuninoTBR3633-3
Paul GoldschmidtSTL3631-5
Brandon BeltSFG3429-5
Jorge PolancoMIN3433-1
Austin RileyATL3433-1
Yordan AlvarezHOU3433-1
Max MuncyLAD33363
Hunter RenfroeBOS3331-2
Giancarlo StantonNYY33352
Joey VottoCIN32364
Bryce HarperPHI32353
Freddie FreemanATL3231-1
Jose AltuveHOU31310
Franmil ReyesCLE3130-1
Miguel SanoMIN3130-1
Nick CastellanosCIN31343
Teoscar HernandezTOR31321
Ozzie AlbiesATL3130-1
Kyle TuckerHOU30300
Adolis GarciaTEX30311
Austin MeadowsTBR3027-3
J.D. MartinezBOS2928-1
Ryan MountcastleBAL29334
Mike YastrzemskiSFG2925-4
Matt ChapmanOAK2927-2
Jose AbreuCHW29301
Manny MachadoSDP2928-1
Patrick WisdomCHC28280
Juan SotoWSN28291
Avisail GarciaMIL28291
Brandon CrawfordSFG2824-4
Eugenio SuarezCIN28313
Bo BichetteTOR28291
Dansby SwansonATL27270
Jared WalshLAA27292
Bryan ReynoldsPIT2724-3
Cedric Mullins IIBAL27303
Josh DonaldsonMIN2726-1
Carlos CorreaHOU26260
Bobby DalbecBOS2625-1
Josh BellWSN26271
Ian HappCHC25250
Justin TurnerLAD25272
C.J. CronCOL25283
Rhys HoskinsPHI24273
Andrew McCutchenPHI24273
Ronald Acuna Jr.ATL24240
Kyle SchwarberWSN24251
Xander BogaertsBOS2423-1
Jesus AguilarMIA2422-2
Adam DuvallMIA2422-2
Joey GalloTEX24251
Robbie GrossmanDET2423-1
Will SmithLAD23252
Eduardo EscobarARI2322-1
Jonathan SchoopDET2322-1
Eric HaaseDET2322-1
Luis UriasMIL22231
Javier BaezCHC22220
Yasmani GrandalCHW22231
Randy ArozarenaTBR2220-2
Paul DeJongSTL2219-3
Carlos SantanaKCR2219-3
Jesse WinkerCIN22242
Jake CronenworthSDP21210
Gary SanchezNYY21232
Trevor StoryCOL21243
Seth BrownOAK2120-1
Willson ContrerasCHC21210
Mookie BettsLAD21232
Enrique HernandezBOS2120-1
Randal GrichukTOR21221
George SpringerTOR21221
Buster PoseySFG2118-3
Wilmer FloresSFG2118-3
LaMonte Wade Jr.SFG2118-3
Francisco LindorNYM2120-1
Dylan CarlsonSTL2118-3
Ryan McMahonCOL20233
Lourdes Gurriel Jr.TOR20211
Jazz Chisholm Jr.MIA2018-2
Austin HaysBAL20222
Byron BuxtonMIN19190
Nelson CruzMIN19190
Max KeplerMIN19190
Andrew BenintendiKCR1917-2
Willy AdamesMIL19201
A.J. PollockLAD19212
Jonathan IndiaCIN19212
Ty FranceSEA1918-1
Jonathan VillarNYM1918-1
Trey ManciniBAL19212
Darin RufSFG1916-3
Cesar HernandezCLE1918-1
Harrison BaderSTL1816-2
Chris TaylorLAD18202
Hunter DozierKCR1816-2
Brad MillerPHI18202
Kris BryantCHC18180
Mark CanhaOAK1817-1
Sean MurphyOAK1817-1
Trea TurnerWSN17181
Wil MyersSDP17170
Nathaniel LoweTEX17181
Tyler NaquinCIN17192
Jeimer CandelarioDET1716-1
Bobby BradleyCLE1716-1
Adam DuvallATL16160
Tim AndersonCHW16171
Anthony SantanderBAL16182
Elias DiazCOL16182
Justin UptonLAA16171
Luis TorrensSEA1615-1
Kevin PillarNYM1615-1
Miguel CabreraDET1615-1
J.T. RealmutoPHI15172
Jesus SanchezMIA1514-1
Trent GrishamSDP15150
Tommy PhamSDP15150
Yuli GurrielHOU15150
Evan LongoriaSFG1513-2
Alex DickersonSFG1513-2
Jed LowrieOAK1514-1
Ramon LaureanoOAK1514-1
Jorge SolerKCR1513-2
Corey SeagerLAD15161
Jarred KelenicSEA1514-1
Michael ConfortoNYM1514-1
Ketel MarteARI1514-1
Kyle FarmerCIN14162
Ryan JeffersMIN14140
Andrew VaughnCHW14151
Jorge SolerATL14140
Chas McCormickHOU14140
Nelson CruzTBR1413-1
Yandy DiazTBR1413-1
Brett PhillipsTBR1413-1
Anthony RizzoCHC14140
Austin SlaterSFG1412-2
Rougned OdorNYY14151
Alex VerdugoBOS1413-1
Michael A. TaylorKCR1412-2
Ryan ZimmermanWSN14140
Kolten WongMIL14140
Carson KellyARI13130
Akil BaddooDET13130
Yoan MoncadaCHW13141
Mitch GarverMIN13130
Brendan RodgersCOL13152
Frank SchwindelCHC13130
Gio UrshelaNYY13141
Jean SeguraPHI13141
Yadier MolinaSTL1311-2
Tommy EdmanSTL1311-2
Manny PinaMIL13130
Dylan MooreSEA1312-1
Luis RobertCHW12131
Sam HilliardCOL12142
Gregory PolancoPIT1211-1
Eric HosmerSDP12120
Martin MaldonadoHOU12120
Alex BregmanHOU12120
Joey GalloNYY12131
Max StassiLAA12131
Joey WendleTBR1211-1
Ji-Man ChoiTBR1211-1
Odubel HerreraPHI12131
Didi GregoriusPHI12131
Tyrone TaylorMIL12120
DJ PetersTEX12120
Tom MurphySEA1211-1
Charlie BlackmonCOL11132
Dominic SmithNYM11110
Josh RojasARI11110
Daulton VarshoARI11110
Pavin SmithARI11110
Whit MerrifieldKCR1110-1
Amed RosarioCLE11110
Colin MoranPIT1110-1
Rafael OrtegaCHC11110
Joc PedersonCHC11110
Albert PujolsLAD11121
Manuel MargotTBR1110-1
D.J. StewartBAL11121
Omar NarvaezMIL11110
Mitch MorelandOAK1110-1
Nick SolakTEX11110
Danny JansenTOR11110
Gavin SheetsCHW10111
James McCannNYM10100
Christian WalkerARI10100
Austin HedgesCLE10100
Ryan O’HearnKCR109-1
Luke VoitNYY10111
Lewis BrinsonMIA109-1
Garrett CooperMIA109-1
Miguel RojasMIA109-1
Pedro SeverinoBAL10111
Maikel FrancoBAL10111
Garrett HampsonCOL10111
Jonah HeimTEX10100
Eloy JimenezCHW10100
Jake FraleySEA990
J.P. CrawfordSEA990
Javier BaezNYM990
Steven DuggarSFG98-1
Willi CastroDET990
Niko GoodrumDET990
DJ LeMahieuNYY9101
Brett GardnerNYY9101
Kyle HigashiokaNYY9101
Yu ChangCLE990
Jack MayfieldLAA9101
Brent RookerMIN990
Trea TurnerLAD9101
Cody BellingerLAD9101
Tyler StephensonCIN9101
Aristides AquinoCIN9101
Yoshi TsutsugoPIT98-1
Ben GamelPIT98-1
Jacob StallingsPIT98-1
Dom NunezCOL9101
Lewin DiazMIA98-1
Yan GomesWSN990
Yadiel HernandezWSN990
Christian YelichMIL990
Daniel VogelbachMIL990
Tony KempOAK880
Taylor TrammellSEA880
Gleyber TorresNYY891
Brandon NimmoNYM880
David PeraltaARI880
Bradley ZimmerCLE880
Alex KirilloffMIN880
Ha-seong KimSDP880
Thairo EstradaSFG87-1
Tommy La StellaSFG87-1
Donovan SolanoSFG87-1
Kris BryantSFG87-1
William ContrerasATL880
Michael BrantleyHOU880
Aledmys DiazHOU880
Jason CastroHOU880
Jason HeywardCHC880
David BoteCHC880
Freddy GalvisBAL891
Michael PerezPIT87-1
Lorenzo CainMIL880
Isiah Kiner-FalefaTEX880
Starling MarteMIA87-1
Brian AndersonMIA87-1
Wander FrancoTBR87-1
Alejandro KirkTOR880
Brian GoodwinCHW880
Anthony RizzoNYY781
Jose IglesiasLAA781
Mike TroutLAA781
Taylor WardLAA781
Kyle SchwarberBOS770
Jeff McNeilNYM770
Asdrubal CabreraARI770
Eddie RosarioCLE770
Josh NaylorCLE770
Jordan LuplowCLE770
Roberto PerezCLE770
Harold RamirezCLE770
Willians AstudilloMIN770
Trevor LarnachMIN770
Victor CaratiniSDP770
Marcell OzunaATL770
Eddie RosarioATL770
Travis d’ArnaudATL770
Joc PedersonATL770
Connor JoeCOL781
Edmundo SosaSTL76-1
Adalberto MondesiKCR76-1
Lane ThomasWSN770
Rowdy TellezMIL770
Andy IbanezTEX770
Cavan BiggioTOR770
Ke’Bryan HayesPIT76-1
Yermin MercedesCHW770
Adam EngelCHW770
Francisco MejiaTBR76-1
Phil GosselinLAA671
Gavin LuxLAD671
Zach McKinstryLAD671
Matt BeatyLAD671
Chad PinderOAK660
Ronald TorreyesPHI671
Alec BohmPHI671
Christian VazquezBOS660
Christian ArroyoBOS660
Tucker BarnhartCIN671
Jose PerazaNYM660
Ramon UriasBAL671
Josh VanMeterARI660
Andy YoungARI660
Dustin GarneauDET660
Jake RogersDET660
Wilson RamosDET660
Zack ShortDET660
Oscar MercadoCLE660
Joshua FuentesCOL671
Jake MeyersHOU660
Abraham ToroHOU660
Mauricio DubonSFG65-1
Curt CasaliSFG65-1
Josh HarrisonWSN660
Luis GarciaWSN660
Carter KieboomWSN660
Jace PetersonMIL660
Jackie Bradley Jr.MIL660
Eduardo EscobarMIL660
Travis ShawMIL660
Willie CalhounTEX660
Jason MartinTEX660
Eli WhiteTEX660
Lars NootbaarSTL65-1
Jake LambCHW660
Edward OlivaresKCR65-1
Anthony AlfordPIT65-1
Phillip EvansPIT65-1
Kevin NewmanPIT65-1
Rodolfo CastroPIT65-1
Miguel AndujarNYY660
Anthony RendonLAA660
Juan LagaresLAA660
Kurt SuzukiLAA660
Jose RojasLAA660
Luis RengifoLAA660
Austin BarnesLAD660
Bryan De La CruzMIA550
Willy AdamesTBR550
Mike BrosseauTBR550
Mike MoustakasCIN561
Raimel TapiaCOL561
Stephen PiscottyOAK550
Starling MarteOAK550
Yan GomesOAK550
Danny SantanaBOS550
Abraham ToroSEA550
Kyle LewisSEA550
J.D. DavisNYM550
Billy McKinneyNYM550
Stephen VogtARI550
Kole CalhounARI550
Nick AhmedARI550
Victor ReyesDET550
Andres GimenezCLE550
Kyle GarlickMIN550
Abraham AlmonteATL550
Ehire AdrianzaATL550
Guillermo HerediaATL550
Robinson ChirinosCHC550
Jake MarisnickCHC550
Sergio AlcantaraCHC550
Matt DuffyCHC550
Andrew StevensonWSN550
Charlie CulbersonTEX550
Jose TrevinoTEX550
Seby ZavalaCHW550
Leury GarciaCHW550
Adam EatonCHW550
Mike TauchmanSFG54-1
Clint FrazierNYY550
Albert PujolsLAA550
Justin WilliamsSTL54-1
Freddy GalvisPHI550
Adam FrazierPIT440
Wilmer DifoPIT440
Pat ValaikaBAL451
Nick FortesMIA440
Jorge AlfaroMIA440
Jon BertiMIA440
Isan DiazMIA440
Sandy LeonMIA440
Kevin KiermaierTBR440
Jordan LuplowTBR440
Shed Long Jr.SEA440
Jose MarmolejosSEA440
Brandon DruryNYM440
Daz CameronDET440
Renato NunezDET440
Daniel JohnsonCLE440
Owen MillerCLE440
Nick GordonMIN440
Jurickson ProfarSDP440
Pablo SandovalATL440
Jose SiriHOU440
Trayce ThompsonCHC440
Alcides EscobarWSN440
Keston HiuraMIL440
John HicksTEX440
David DahlTEX440
Corey DickersonTOR440
Rowdy TellezTOR440
Zack CollinsCHW440
Aaron HicksNYY440
Jo AdellLAA440
Austin WynnsBAL440
Jason VoslerSFG330
Jose RondonSTL330
Matt CarpenterSTL330
Hoy ParkPIT330
Alex JacksonMIA330
Elvis AndrusOAK330
Aramis GarciaOAK330
Kevin PlaweckiBOS330
Travis ShawBOS330
Jonathan ArauzBOS330
Tomas NidoNYM330
Harold CastroDET330
Derek HillDET330
Nomar MazaraDET330
Ernie ClementCLE330
Andrelton SimmonsMIN330
Jake CaveMIN330
Ben RortvedtMIN330
Marwin GonzalezHOU330
Michael HermosilloCHC330
Starlin CastroWSN330
Billy McKinneyMIL330
Leody TaverasTEX330
Cesar HernandezCHW330
Mike FordNYY330
Sheldon NeuseLAD330
Max SchrockCIN330
Rio RuizBAL330
Nicky LopezKCR220
Hanser AlbertoKCR220
Ka’ai TomPIT220
Cole TuckerPIT220
Erik GonzalezPIT220
Corey DickersonMIA220
Josh HarrisonOAK220
Jarren DuranBOS220
Marwin GonzalezBOS220
Michael ChavisBOS220
Jake BauersSEA220
Donovan WaltonSEA220
Sam HaggertySEA220
Cal RaleighSEA220
Evan WhiteSEA220
Josh ReddickARI220
Jake McCarthyARI220
JaCoby JonesDET220
Myles StrawCLE220
Rene RiveraCLE220
Wilson RamosCLE220
Jake BauersCLE220
Rob RefsnyderMIN220
Gilberto CelestinoMIN220
Luis ArraezMIN220
Webster RivasSDP220
Austin NolaSDP220
Jorge MateoSDP220
Brian O’GradySDP220
Huascar YnoaATL220
Ender InciarteATL220
Orlando ArciaATL220
Stephen VogtATL220
Myles StrawHOU220
Taylor JonesHOU220
Keibert RuizWSN220
Riley AdamsWSN220
Tres BarreraWSN220
Jordy MercerWSN220
Gerardo ParraWSN220
Victor RoblesWSN220
Daniel RobertsonMIL220
Adrian HouserMIL220
Jacob NottinghamMIL220
Brock HoltTEX220
Khris DavisTEX220
Santiago EspinalTOR220
Joe PanikTOR220
Danny MendickCHW220
Nick MadrigalCHW220
Billy HamiltonCHW220
Ryan LaMarreNYY220
David FletcherLAA220
Brandon MarshLAA220
Luke RaleyLAD220
Andrew KnappPHI220
Matt VierlingPHI220
Matt JoycePHI220
Nick MatonPHI220
Scott HeinemanCIN220
Kelvin GutierrezBAL220
Jorge MateoBAL220
Ryan McKennaBAL220
Yonathan DazaCOL220
Chadwick TrompSFG110
Logan WebbSFG110
Andrew KniznerSTL110
Austin DeanSTL110
Jack FlahertySTL110
Kyle IsbelKCR110
Cam GallagherKCR110
Kelvin GutierrezKCR110
Emmanuel RiveraKCR110
Tyler AndersonPIT110
Michael ChavisPIT110
Oneil CruzPIT110
John NogowskiPIT110
Will CraigPIT110
Deven MarreroMIA110
Eddy AlvarezMIA110
Joe PanikMIA110
Taylor WallsTBR110
Khris DavisOAK110
Austin AllenOAK110
Frank SchwindelOAK110
Skye BoltOAK110
Jose IglesiasBOS110
Franchy CorderoBOS110
Jacob NottinghamSEA110
Luis GuillormeNYM110
Mason WilliamsNYM110
Patrick MazeikaNYM110
Travis BlankenhornNYM110
Humberto CastellanosARI110
Seth BeerARI110
Henry RamosARI110
Tim LocastroARI110
Drew EllisARI110
Wyatt MathisenARI110
Grayson GreinerDET110
Isaac ParedesDET110
Daniel CamarenaSDP110
Adam FrazierSDP110
Ryan WeathersSDP110
Cristian PacheATL110
Robel GarciaHOU110
Alfonso Rivas IIICHC110
Eric SogardCHC110
Austin RomineCHC110
Andrew RomineCHC110
Alex AvilaWSN110
Jon LesterWSN110
Eric LauerMIL110
Pablo ReyesMIL110
Yohel PozoTEX110
Ronald GuzmanTEX110
Jonathan DavisTOR110
Jake LambTOR110
Breyvic ValeraTOR110
Reese McGuireTOR110
Kevin SmithTOR110
Jake BurgerCHW110
Tim LocastroNYY110
Jay BruceNYY110
Chris GittensNYY110
Estevan FlorialNYY110
Andrew VelazquezNYY110
Adam EatonLAA110
DJ PetersLAD110
Edwin RiosLAD110
Steven Souza Jr.LAD110
Billy McKinneyLAD110
Keibert RuizLAD110
Mickey MoniakPHI110
Travis JankowskiPHI110
Luke WilliamsPHI110
Rafael MarchanPHI110
Kyle GibsonPHI110
T.J. FriedlCIN110
Delino DeShieldsCIN110
Nick SenzelCIN110
Richie MartinBAL110
Tyler NevinBAL110
Domingo LeybaBAL110
Chris OwingsCOL110
German MarquezCOL110
Alan TrejoCOL110
Tommy HunterNYM000
Daniel BardCOL000
Jose QuintanaSFG000
Connor OvertonPIT000
Josh LoweTBR000
Jake ArrietaSDP000
Austin VothWSN000
Andrew HeaneyLAA000
Sean ManaeaOAK000
Justus SheffieldSEA000
Jordan YamamotoNYM000
Jakson ReetzWSN000
Garrett CleavingerLAD000
Triston McKenzieCLE000
Ali SanchezSTL000
Cal QuantrillCLE000
Garrett WhitlockBOS000
Bailey OberMIN000
Jerad EickhoffNYM000
Taylor DavisPIT000
Dylan CeaseCHW000
Jacob deGromNYM000
Jon JayLAA000
Jonathan LucroyWSN000
Ross DetwilerMIA000
Josh TomlinATL000
Taylor MotterBOS000
Jake FariaARI000
Matthew BoydDET000
Kohl StewartCHC000
Ivan CastilloSDP000
Taylor ClarkeARI000
JT RiddleMIN000
James KaprielianOAK000
Kenta MaedaMIN000
Phil BickfordLAD000
Dakota HudsonSTL000
Justin DunnSEA000
Dane DunningTEX000
Alex De GotiHOU000
Kyle WrightATL000
Cory AbbottCHC000
Joey BartSFG000
Spencer HowardPHI000
Drew RasmussenTBR000
Connor WongBOS000
Nico HoernerCHC000
Luke MaileMIL000
Johneshwy FargasNYM000
Eric CampbellSEA000
Andy BurnsLAD000
Max FriedATL000
Brian MillerMIA000
Nick MartiniCHC000
Greg AllenNYY000
Tyler WadeNYY000
David PriceLAD000
Payton HenryMIA000
Alejo LopezCIN000
Geraldo PerdomoARI000
Adrian SanchezWSN000
Dexter FowlerLAA000
Rich HillTBR000
Ryan LavarnwayCLE000
Kevan SmithTBR000
Dylan BundyLAA000
Joe RossWSN000
Erick CastilloCHC000
Patrick KivlehanSDP000
Jose De LeonCIN000
Lucas GiolitoCHW000
Zack LittellSFG000
Derek FisherMIL000
Ryan McBroomKCR000
Braden BishopSEA000
Jose UrquidyHOU000
Patrick SandovalLAA000
Luis BarreraOAK000
Corbin MartinARI000
Luis GonzalezCHW000
Matt PeacockARI000
Romy GonzalezCHW000
Jose DeversMIA000
Magneuris SierraMIA000
Johneshwy FargasCHC000
Clayton KershawLAD000
Anthony BemboomLAA000
Trevor WilliamsCHC000
Jarrod DysonKCR000
Yonny HernandezTEX000
Rene RiveraWSN000
Mike TauchmanNYY000
Tylor MegillNYM000
Shogo AkiyamaCIN000
Julio UriasLAD000
Lance LynnCHW000
Craig StammenSDP000
Jonathan LucroyATL000
Garrett RichardsBOS000
Stephen StrasburgWSN000
John MeansBAL000
Alex BlandinoCIN000
Nick CiuffoBAL000
Chad WallachMIA000
Monte HarrisonMIA000
Cole IrvinOAK000
Ronnie DawsonHOU000
Josh PalaciosTOR000
Edwin UcetaLAD000
Jose BarreroCIN000
Bryan HoladayARI000
Adam HaseleyPHI000
Colton WelkerCOL000
Jake MarisnickSDP000
Ranger SuarezPHI000
Zac GallenARI000
Mike FreemanCIN000
Ildemaro VargasARI000
Wade MileyCIN000
Kevin GausmanSFG000
Wilfredo TovarNYM000
Mark PaytonCIN000
Kyle FreelandCOL000
Braxton GarrettMIA000
Tucupita MarcanoSDP000
Zach DaviesCHC000
Jack MayfieldSEA000
Garrett StubbsHOU000
Tony GonsolinLAD000
Jared OlivaPIT000
Sebastian RiveroKCR000
Roman QuinnPHI000
Rio RuizCOL000
Dustin FowlerPIT000
Paolo EspinoWSN000
Matt AdamsCOL000
John AndreoliSDP000
Luis MarteMIA000
Ashton GoudeauCOL000
Steven BraultPIT000
Kean WongLAA000
Stevie WilkersonBAL000
Keegan ThompsonCHC000
Yoshi TsutsugoTBR000
Kevan SmithATL000
Luis CastilloCIN000
Jose GodoySEA000
Zack WheelerPHI000
Chi Chi GonzalezCOL000
Jacob WilsonHOU000
Jack LopezBOS000
Chance SiscoBAL000
Justin SteeleCHC000
Trent GiambroneCHC000
Corbin BurnesMIL000
Jon LesterSTL000
Rob BrantlyNYY000
Taylor MotterCOL000
Johan OviedoSTL000
Jahmai JonesBAL000
Scott ScheblerLAA000
Sonny GrayCIN000
Jacob WilsonOAK000
Ildemaro VargasCHC000
Aaron NolaPHI000
Trevor WilliamsNYM000
Matt ThaissLAA000
Nick HeathARI000
Tony SantillanCIN000
Humberto MejiaARI000
Edward CabreraMIA000
Joe MusgroveSDP000
Zach ThompsonMIA000
Jeff HoffmanCIN000
Greg DeichmannCHC000
Stuart FairchildARI000
Patrick CorbinWSN000
Charlie MortonATL000
Tony WoltersCHC000
Jake HagerNYM000
Vimael MachinOAK000
Adam WainwrightSTL000
Yoshi TsutsugoLAD000
Blake SnellSDP000
Kyle HendricksCHC000
Albert Almora Jr.NYM000
Brandon WoodruffMIL000
Kwang-hyun KimSTL000
Trevor CahillPIT000
Jake HagerARI000
Dillon ThomasSEA000
Chance SiscoNYM000
Troy Stokes Jr.PIT000
Jake WoodfordSTL000
Jaylin DavisSFG000
Mitch KellerPIT000
Riley AdamsTOR000
Taijuan WalkerNYM000
Jon GrayCOL000
Luke WeaverARI000
Lane ThomasSTL000
Madison BumgarnerARI000
Walker BuehlerLAD000
Rich HillNYM000
Tim LopesMIL000
Cody PoteetMIA000
Jordan HollowayMIA000
Sammy LongSFG000
Marcus StromanNYM000
Jake ArrietaCHC000
Yu DarvishSDP000
Drew ButeraLAA000
Austin GomberCOL000
Freddy PeraltaMIL000
Pete KozmaOAK000
Vince VelasquezPHI000
Jorge BonifacioPHI000
Orlando ArciaMIL000
Caleb SmithARI000
Yairo MunozBOS000
Vladimir GutierrezCIN000
Kyle MullerATL000
Curtis TerryTEX000
Luis CampusanoSDP000
Todd FrazierPIT000
Carlos MartinezSTL000
Chase De JongPIT000
Kevin PadloTBR000
Bryse WilsonATL000
JT BrubakerPIT000
Jarrod DysonTOR000
Asdrubal CabreraCIN000
Ildemaro VargasPIT000
Vidal BrujanTBR000
Drew SmylyATL000
Ben GamelCLE000
Elieser HernandezMIA000
Trevor RogersMIA000
Johnny CuetoSFG000
Adbert AlzolayCHC000
Merrill KellyARI000
Max MoroffSTL000
Ka’ai TomOAK000
Taylor WidenerARI000
Anderson TejedaTEX000
David PetersonNYM000
Pablo LopezMIA000
Jonathan DavisNYY000
Wil CrowePIT000
John NogowskiSTL000
Khalil LeeNYM000
Tyler MahleCIN000
Ian AndersonATL000
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Scott KingeryPHI000
Josiah GrayWSN000
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Chad KuhlPIT000
Alex JacksonATL000
P.J. HigginsCHC000
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Cameron MaybinNYM000
Sandy AlcantaraMIA000
Trevor BauerLAD000
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Neftali FelizLAD000
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Matt BushTEX000
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Sean DoolittleSEA000
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Chris ArcherTBR000
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Trevor MayNYM000
Jose CisneroDET000
Steve CishekLAA000
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Alex CobbLAA000
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Brad BoxbergerMIL000
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Juan MinayaMIN000
Aaron LoupNYM000
Mychal GivensCIN000
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Jake PetrickaLAA000
Jimmy NelsonLAD000
Scott AlexanderLAD000
Chris SaleBOS000
Andrew BellattiMIA000
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Shane GreeneATL000
Shane GreeneLAD000
Mike FoltynewiczTEX000
R.J. AlanizCIN000
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Chasen ShrevePIT000
Jared HoyingTOR000
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Mickey JannisBAL000
Vince VelasquezSDP000
Grant DaytonATL000
Casey SadlerSEA000
Sean NolinWSN000
Seth FrankoffARI000
Jose QuintanaLAA000
Drew PomeranzSDP000
Brandon WorkmanBOS000
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Jesse BiddleATL000
A.J. ColeTOR000
Bryan MitchellMIA000
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Joely RodriguezNYY000
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Aaron SanchezSFG000
Josh OsichCIN000
Jose UrenaDET000
Mike KickhamLAD000
Heath HembreeCIN000
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Matt HarveyBAL000
Luke JacksonATL000
Kyle RyanCHC000
Noah SyndergaardNYM000
Hansel RoblesBOS000
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Alberto BaldonadoWSN000
James PaxtonSEA000
Chris MartinATL000
Jason AdamCHC000
Michael FelizBOS000
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Matt AndrieseBOS000
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Yimi GarciaMIA000
Yimi GarciaHOU000
Domingo TapiaKCR000
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Dan WinklerCHC000
Ryan SherriffTBR000
Evan MarshallCHW000
Chris BassittOAK000
Colin ReaMIL000
Jacob BarnesTOR000
Jacob BarnesNYM000
Kevin QuackenbushLAD000
Spencer PattonTEX000
Nick TropeanoNYM000
Nick TropeanoSFG000
Seth LugoNYM000
Blake TreinenLAD000
Nick RamirezSDP000
DJ JohnsonCLE000
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Adam MorganCHC000
Mike Wright Jr.CHW000
Ryne HarperWSN000
Rafael MonteroSEA000
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Burch SmithOAK000
Noe RamirezLAA000
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Matt WislerTBR000
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Andrew KittredgeTBR000
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Shawn ArmstrongTBR000
Matt BarnesBOS000
Tyler AndersonSEA000
Alex ClaudioLAA000
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Andrew ChafinOAK000
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Colten BrewerBOS000
Reymin GuduanOAK000
Gerrit ColeNYY000
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Jordan WeemsOAK000
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Louis HeadTBR000
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Adrian SampsonCHC000
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Hoby MilnerMIL000
Cam BedrosianOAK000
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Sam SelmanLAA000
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Richard RodriguezATL000
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Steven OkertMIA000
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Carl Edwards Jr.TOR000
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Sal RomanoNYY000
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JT ChargoisSEA000
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Zach EflinPHI000
Alex WoodSFG000
Matt StrahmSDP000
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Paul SewaldSEA000
Chris FlexenSEA000
Dietrich EnnsTBR000
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Michael WachaTBR000
Lance McCullers Jr.HOU000
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Jose BerriosMIN000
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Kyle ZimmerKCR000
Josh HaderMIL000
Wandy PeraltaNYY000
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Frankie MontasOAK000
Nick WilliamsCHW000
Joel PayampsKCR000
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Tyler GlasnowTBR000
Amir GarrettCIN000
Hyun-Jin RyuTOR000
Adam ConleyTBR000
J.B. WendelkenOAK000
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Jorge LopezBAL000
Carlos EstevezCOL000
Jose RuizCHW000
James HoytLAA000
Rowan WickCHC000
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Jandel GustaveMIL000
Dillon MaplesCHC000
Duane Underwood Jr.PIT000
Tzu-Wei LinMIN000
Andres MachadoWSN000
Keone KelaSDP000
Anthony BandaNYM000
Anthony BandaPIT000
Brady LailSEA000
Edwin DiazNYM000
Paul BlackburnOAK000
Emilio PaganSDP000
Buck FarmerDET000
Michael LorenzenCIN000
Joe MantiplyARI000
Zack GodleyMIL000
Sam MollOAK000
Taylor WilliamsMIA000
Taylor WilliamsSDP000
Johan CamargoATL000
Reyes MorontaSFG000
Tyler WebbSTL000
Giovanny GallegosSTL000
Scott BarlowKCR000
Yacksel RiosBOS000
Yacksel RiosSEA000
Kyle FinneganWSN000
Corey KnebelLAD000
Alex ReyesSTL000
Tim MayzaTOR000
Lou TrivinoOAK000
Yency AlmonteCOL000
Kyle McGowinWSN000
Hunter WoodTEX000
Luke FarrellMIN000
Jimmie SherfyLAD000
Jimmie SherfySFG000
Drew AndersonTEX000
Jake NewberryKCR000
Ashton GoudeauCIN000
Justin TopaMIL000
Aaron SlegersLAA000
Cody ReedTBR000
Cole SulserBAL000
Keynan MiddletonSEA000
Adam CimberTOR000
Adam CimberMIA000
Austin PruittMIA000
Austin PruittHOU000
Andrew HeaneyNYY000
Mike MayersLAA000
Nick PivettaBOS000
Marco GonzalesSEA000
Stephen GonsalvesBOS000
Hunter HarveyBAL000
Kendall GravemanSEA000
Kendall GravemanHOU000
Joseph OdomTBR000
Eric YardleyMIL000
Tyler RogersSFG000
Chad GreenNYY000
Nick WittgrenCLE000
Phillips ValdezBOS000
Yefry RamirezLAD000
Miguel CastroNYM000
Brad KellerKCR000
Joe JimenezDET000
Devin WilliamsMIL000
Paul FryBAL000
Adam PlutkoBAL000
Kent EmanuelHOU000
Wander SueroWSN000
Stephen TarpleyNYM000
Luis SeverinoNYY000
Lewis ThorpeMIN000
Ryne StanekHOU000
Keury MellaARI000
Akeem BostickNYM000
Stefan CrichtonARI000
Taylor GushueCHC000
Daniel Ponce de LeonSTL000
Jordan RomanoTOR000
Chris EllisBAL000
Chris EllisTBR000
John CurtissMIA000
John CurtissMIL000
David HessTBR000
David HessMIA000
Carlos RodonCHW000
Jace FryCHW000
Spencer TurnbullDET000
Jake ReedLAD000
Jake ReedNYM000
Tejay AntoneCIN000
Aaron BummerCHW000
Sam HowardPIT000
Sam ClayWSN000
Jesus TinocoCOL000
Alex McRaeCHW000
Ryan BoruckiTOR000
Ryan CastellaniCOL000
Brad WieckCHC000
Reynaldo LopezCHW000
Domingo LeybaARI000
Victor GonzalezLAD000
Blake TaylorHOU000
Scott BlewettKCR000
James NorwoodSDP000
Conner GreeneBAL000
Conner GreeneLAD000
Brent HoneywellTBR000
Roel RamirezSTL000
Ryan YarbroughTBR000
Dan AltavillaSDP000
Jordan MontgomeryNYY000
Dusten KnightBAL000
Erik SwansonSEA000
Kevin PadloSEA000
Bryan AbreuHOU000
J.P. FeyereisenTBR000
J.P. FeyereisenMIL000
Ryan ThompsonTBR000
Julian MerryweatherTOR000
Vinny NittoliSEA000
Josh JamesHOU000
Tim HillSDP000
Touki ToussaintATL000
Sean NewcombATL000
Jake JewellCHC000
Tyler BeedeSFG000
Trevor HildenbergerNYM000
Jefry RodriguezWSN000
Sean Reid-FoleyNYM000
Domingo AcevedoOAK000
Austin DavisBOS000
Austin DavisPIT000
Raisel IglesiasLAA000
Domingo GermanNYY000
Gabe SpeierKCR000
Yoan LopezARI000
Dinelson LametSDP000
Austin BriceBOS000
Sam CoonrodPHI000
Michael KopechCHW000
Javy GuerraSDP000
Framber ValdezHOU000
Edgar SantanaATL000
Josh TaylorBOS000
Brett MartinTEX000
David PaulinoPHI000
Erick FeddeWSN000
Albert AbreuNYY000
Spenser WatkinsBAL000
Genesis CabreraSTL000
Diego CastilloSEA000
Diego CastilloTBR000
Jorge GuzmanMIA000
Ryan BurrCHW000
Jimmy HergetLAA000
Jimmy HergetTEX000
Marcos DiplanBAL000
Tanner ScottBAL000
Cristian JavierHOU000
Tanner RaineyWSN000
Justin LawrenceCOL000
Jeffrey SpringsTBR000
Ralph GarzaMIN000
Ralph GarzaHOU000
Trevor MegillCHC000
Skye BoltSFG000
Nabil CrismattSDP000
Evan PhillipsTBR000
Evan PhillipsLAD000
Tyler AlexanderDET000
Brody KoernerNYY000
Drew SmithNYM000
Angel PerdomoMIL000
Jose AlvaradoPHI000
Jake BrentzKCR000
Patrick WeigelMIL000
Dillon TateBAL000
Daniel ZamoraSEA000
Ian GibautMIN000
Nestor CortesNYY000
Dennis SantanaTEX000
Dennis SantanaLAD000
Tayler SaucedoTOR000
Cody PoncePIT000
Trent ThorntonTOR000
Tyler GilbertARI000
Peter LambertCOL000
Pete FairbanksTBR000
Hoy ParkNYY000
Tanner AndersonPIT000
Phil MatonCLE000
Phil MatonHOU000
Cody StashakMIN000
Ryan MeisingerCHC000
Ryan HelsleySTL000
Jay FlaaBAL000
Jay FlaaATL000
Anthony MisiewiczSEA000
Art WarrenCIN000
Jarlin GarciaSFG000
Tyler KinleyCOL000
Carson FulmerCIN000
Josh SborzTEX000
Taylor HearnTEX000
Eric HanholdBAL000
Alex YoungCLE000
Alex YoungARI000
Josh StaumontKCR000
Nick AndersonTBR000
Julian FernandezCOL000
Brandon WaddellBAL000
Brandon WaddellMIN000
Brandon WaddellSTL000
Jaime BarriaLAA000
Thomas EshelmanBAL000
Connor OvertonTOR000
Scott EffrossCHC000
Travis BlankenhornMIN000
Enyel De Los SantosPHI000
Enyel De Los SantosPIT000
Trey AmburgeyNYY000
Shea SpitzbarthPIT000
Junior FernandezSTL000
Josh RogersWSN000
Phil BickfordMIL000
Sam HentgesCLE000
Logan AllenCLE000
Travis BergenTOR000
Travis Lakins Sr.BAL000
A.J. MinterATL000
Kolby AllardTEX000
Nick NeidertMIA000
Dillon PetersPIT000
Miguel Del PozoDET000
Drew SteckenriderSEA000
Miguel DiazSDP000
Pedro AvilaSDP000
Beau BurrowsDET000
Beau BurrowsMIN000
Kyle KellerPIT000
Zack BurdiBAL000
Zack BurdiCHW000
Corey RayMIL000
Tommy NanceCHC000
Kirby SneadTOR000
Robert DuggerSEA000
Brandyn SittingerARI000
Conner MenezSFG000
Jose QuijadaLAA000
Mitch WhiteLAD000
Caleb BaragarSFG000
Wes BenjaminTEX000
Miguel AguilarARI000
Seranthony DominguezPHI000
Thomas HatchTOR000
T.J. ZeuchTOR000
Jacob WebbATL000
Edgar GarciaMIN000
Edgar GarciaCIN000
Trevor RichardsTBR000
Trevor RichardsTOR000
Trevor RichardsMIL000
Joey LucchesiNYM000
Richard LoveladyKCR000
A.J. PukOAK000
Daulton JefferiesOAK000
Dean KremerBAL000
Keegan AkinBAL000
Shane BieberCLE000
Yohan RamirezSEA000
Shaun AndersonBAL000
Shaun AndersonMIN000
Shaun AndersonSDP000
Michael RuckerCHC000
Kyle FunkhouserDET000
Bryan GarciaDET000
Jorge AlcalaMIN000
Aaron CivaleCLE000
Ryan HartmanHOU000
Andrew VasquezLAD000
Devin SmeltzerMIN000
Raynel EspinalBOS000
Jacob RobsonDET000
Jason FoleyDET000
Ryan HendrixCIN000
Jimmy LambertCHW000
Stephen NogosekNYM000
Jon DuplantierARI000
J.D. HammerPHI000
Geoff HartliebNYM000
Geoff HartliebPIT000
Bernardo Flores Jr.STL000
David BednarPIT000
JoJo RomeroPHI000
Sean PoppenTBR000
Sean PoppenARI000
Sean PoppenPIT000
Otto LopezTOR000
Cionel PerezCIN000
Jordan HicksSTL000
Jack KrugerLAA000
Matt FosterCHW000
Zach ReksLAD000
Gregory SotoDET000
Jordan SheffieldCOL000
Kyle CodyTEX000
Connor SeaboldBOS000
Patrick MurphyTOR000
Patrick MurphyWSN000
Dustin MayLAD000
Kodi WhitleySTL000
Anthony BenderMIA000
Jonathan LoaisigaNYY000
Reiver SanmartinCIN000
Seth ElledgeSTL000
Will VestSEA000
Justin GarzaCLE000
Anthony CastroTOR000
Bryan BakerTOR000
Daniel CastanoMIA000
Riley SmithARI000
Alexander WellsBAL000
Darwinzon HernandezBOS000
Michael KingNYY000
Charlie BarnesMIN000
Brandon BielakHOU000
Griffin CanningLAA000
Drew CarltonDET000
Tucker DavidsonATL000
Kevin GinkelARI000
Tanner HouckBOS000
Gabe KlobositsWSN000
Alex LangeDET000
Clarke SchmidtNYY000
Adonis MedinaPHI000
Jose SuarezLAA000
Trevor StephanCLE000
Jhon RomeroWSN000
Ljay NewsomeSEA000
Jesus LuzardoOAK000
Jesus LuzardoMIA000
Zach PlesacCLE000
Bryse WilsonPIT000
Dylan LeeATL000
Tyler WellsBAL000
Wyatt MillsSEA000
John SchreiberBOS000
Hunter OwenPIT000
Darren McCaughanSEA000
Adrian MorejonSDP000
Ronald BolanosKCR000
Sean GuentherMIA000
Kaleb OrtBOS000
Bailey FalterPHI000
Miguel SanchezMIL000
Mauricio LloveraPHI000
James KarinchakCLE000
Nick NelsonNYY000
Nate PearsonTOR000
Ty TiceTOR000
Ty TiceATL000
Zach PopMIA000
Ben BowdenCOL000
Eli MorganCLE000
Jeremy BeasleyTOR000
Mike BaumannBAL000
Yennsy DiazNYM000
Tyler IveyHOU000
Zac LowtherBAL000
Griffin JaxMIN000
Mario FelicianoMIL000
Deivi GarciaNYY000
Jhonathan DiazLAA000
Alec BettingerMIL000
Andre ScrubbHOU000
Kyle DohyPHI000
Riley O’BrienCIN000
Brusdar GraterolLAD000
Ramon RossoPHI000
Matt ManningDET000
Bruce ZimmermannBAL000
Andres MunozSEA000
Tyler ZuberKCR000
Antonio SantosCOL000
Isaac MattsonBAL000
Anthony KayTOR000
Nick MargeviciusSEA000
Luis MaderoMIA000
Josh FlemingTBR000
Jovani MoranMIN000
Rony GarciaDET000
Enoli ParedesHOU000
Peter SolomonHOU000
J.B. BukauskasARI000
Casey MizeDET000
Scott HurstSTL000
Kyle NelsonCLE000
Nick SandlinCLE000
Kutter CrawfordBOS000
JC MejiaCLE000
Yusei KikuchiSEA000
Cristopher SanchezPHI000
Manuel RodriguezCHC000
Eduard BazardoBOS000
Francisco PerezCLE000
Oliver OrtegaLAA000
Emmanuel ClaseCLE000
Seth MartinezHOU000
Luis GilNYY000
Thomas SzapuckiNYM000
Demarcus EvansTEX000
Dauri MoretaCIN000
Miguel YajurePIT000
Tyler PayneCHC000
Brooks KriskeBAL000
Brooks KriskeNYY000
Darien NunezLAD000
Connor BrogdonPHI000
Lucas GilbreathCOL000
Andre JacksonLAD000
Jake LatzTEX000
Glenn OttoTEX000
Joe RyanMIN000
Ryan FeltnerCOL000
Kris BubicKCR000
Shane McClanahanTBR000
Daniel LynchKCR000
Reiss KnehrSDP000
Jackson KowarKCR000
Jake CousinsMIL000
Elvis PegueroLAA000
Kervin CastroSFG000
Luis OviedoPIT000
Jose MarteLAA000
Mason ThompsonWSN000
Mason ThompsonSDP000
Gregory SantosSFG000
Camilo DovalSFG000
Luis FriasARI000
Angel RondonSTL000
John KingTEX000
Aaron FletcherSEA000
Kyle TylerLAA000
Ryan ViladeCOL000
Max KranickPIT000
Hans CrousePHI000
Mac ScerolerBAL000
Jon HeasleyKCR000
Paul CampbellMIA000
Logan GilbertSEA000
Shane BazTBR000
Tarik SkubalDET000
Dylan ColemanKCR000
Joe BarlowTEX000
Chris RodriguezLAA000
A.J. AlexyTEX000
Stephen RidingsNYY000
Nivaldo RodriguezHOU000
Carlos HernandezKCR000
Angel ZerpaKCR000
Roansy ContrerasPIT000
Luis PatinoTBR000
Joan AdonWSN000
Spencer HowardTEX000
Packy NaughtonLAA000
Codi HeuerCHW000
Codi HeuerCHC000
Janson JunkLAA000
Damon JonesPHI000
Nick SnyderTEX000
Aaron AshbyMIL000
Ryan DorowTEX000
Brett de GeusTEX000
Brett de GeusARI000
Luis GarciaHOU000
Justin BruihlLAD000
Randy DobnakMIN000
Nick AllgeyerTOR000
Josiah GrayLAD000
Jonathan StieverCHW000
Cody WilsonWSN000
Andrew WantzLAA000
Austin WarrenLAA000
Cooper CriswellLAA000
Alex VesiaLAD000
Nick MearsPIT000
Brady SingerKCR000
Drew RasmussenMIL000
Alek ManoahTOR000
Garrett CrochetCHW000
Reid DetmersLAA000
Spencer StriderATL000
Kohei AriharaTEX000
Hyeon-jong YangTEX000
Hirokazu SawamuraBOS000

The above table represents five properties: 1) the player’s name; 2) the team for which the player accrued his statistics; 3) his “adjusted” home run total, which uses his team’s park factor; 4) his raw home run total, which does not use his team’s park factor; and 5) “luck,” which measures the difference between his actual home run total and his adjusted home run total. If we sort the table to reflect the luckiest and unluckiest batters, their listed teams will start to reflect which ballparks have the greatest promotion for home runs and which ones do not. It’s no surprise that there are numerous Rockies players near the top of this list:

  • C.J. Cron +3 (7th)
  • Trevor Story +3 (10th)
  • Ryan McMahon +3 (12th)
  • Elias Diaz +2 (23rd)
  • Brendan Rodgers +2 (30th)
  • Sam Hilliard +2 (34th)
  • Charlie Blackmon +2 (37th)

Interestingly enough, Colorado has the lowest home-run park factor in 2021, which means the Coors Field environment has the most positive effect on homers compared to other ballparks! Conversely, we can sort to find the “unluckiest” batsmen in the league. Here, we (expectantly) see a whole new crop of players and teams:

  1. Salvador Perez -7 (KCR)
  2. Tyler O’Neill -5 (STL)
  3. Nolan Arenado -5 (STL)
  4. Brandon Belt -5 (SFG)
  5. Paul Goldschmidt -5 (STL)
  6. Mike Yastrzemski -4 (SFG)
  7. Brandon Crawford -4 (SFG)
  8. Brandon Lowe -4 (TBR)
  9. Mike Zunino -3 (TBR)
  10. Buster Posey -3 (SFG)

The analytical approach does seem to corroborate the traditional ideas about Coors Field while also revealing insights into which ballparks don’t induce more home runs than usual. Here are the top-5 and bottom-5 teams in this 2021 version of the home-run park factor (higher meaning worse home-run environment, lower meaning better):

  • San Francisco Giants (1st)
  • St. Louis Cardinals (2nd)
  • Kansas City Royals (3rd)
  • Pittsburgh Pirates (4th)
  • Miami Marlins (5th)
  • Los Angeles Dodgers (26th)
  • Philadelphia Phillies (27th)
  • Cincinnati Reds (28th)
  • Baltimore Orioles (29th)
  • Colorado Rockies (30th)

[1] https://www.colorado.edu/today/2021/07/07/its-outta-here-physics-baseball-mile-high



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