Day: January 30, 2022


  • 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
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    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