Rajasthan Royals
Research & validation

Does the Pressure Index measure real pressure?

Observed outcomes on pressure balls vs all other balls; our definition against common rules of thumb.

1.43
Pressure Index · close finishes
0.90
Pressure Index · one-sided
25.1%
Balls flagged as pressure
50,495
Pressure balls

✓Validation: pressure balls vs other balls

DefinitionShare of ballsDismissal % · pressureDismissal % · otherSR · pressureSR · other
Death overs (16-20)21.8%8.58%4.79%161.8135.6
Chase RRR >= 1021.2%6.94%5.26%147.5139.6
Leverage only, top 25%25.0%5.62%5.62%139.5141.9
Pressure Index (ours)25.0%5.82%5.55%137.7142.5

☰Method in six steps

  1. 1 · Clean
    200,999 deliveries from IPL 2022–26, T20Is and two other T20 events. Wides/byes/leg-byes carry no run value in the source, so one run is added per extra event; legal balls are recounted.
  2. 2 · Win probability
    Separate ML models for the first innings and the chase predict P(batting side wins | state). Seven algorithms were compared with 5-fold GroupKFold by match; XGBoost defines the main Pressure Index.
  3. 3 · Pressure Index
    Leverage (expected |win-probability swing| on the next ball) × Difficulty (wickets lost above par, asking rate above par) × Stage (knockout ×1.15). The top 25% of legal balls are pressure balls.
  4. 4 · Performance
    Run value above the average player in the same context (innings, over, wickets, pace/spin, league, batter hand), win probability added (WPA), uplift versus the player's own normal level, and consistency across pressure innings.
  5. 5 · Fair comparison
    Opposition strength via team Elo, empirical-Bayes shrinkage toward the player's own overall level, minimum 120 pressure balls and 10 pressure innings.
  6. 6 · Reliability
    500 match-bootstrap resamples per pressure definition; the final rank averages P(top 10) across Lookup, Logistic Regression and XGBoost definitions.

!Limitations (read these)

  • ●Pressure performance is a weaker, noisier signal than overall skill, especially for bowlers (split-half reliability is low).
  • ●Extras runs are not recorded in the source, so targets are approximate (about ±2 runs in most matches).
  • ●Fielding, venue, pitch, toss and team strength inside the win-probability model are not modelled.
  • ●Players with fewer than ~200 pressure balls have wide rank intervals even when their numbers are the best in the data.
  • ●Only 131 of 254 players have a free-licensed photo; the rest show a silhouette. Height is available for 5 players.

©Photo credits · free-licensed images from Wikimedia Commons (attribution required)

131 photos
PlayerLicenceAttributionSource
Abdul SamadCC BY 3.0SunrisersIPL, CC BY 3.0, via Wikimedia CommonsFile page
Abrar AhmedCC BY-SA 4.0Nazly Ahmed, CC BY-SA 4.0, via Wikimedia CommonsFile page
Adam ZampaCC BY-SA 4.0Storm machine, CC BY-SA 4.0, via Wikimedia CommonsFile page
Adil RashidPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Aiden MarkramCC BY 3.0Michael Sherman, CC BY 3.0, via Wikimedia CommonsFile page
Ajinkya RahaneCC BY 3.0Bollywood Hungama, CC BY 3.0, via Wikimedia CommonsFile page
Andre RussellCC BY 3.0Kolkata Knight Riders - Official, CC BY 3.0, via Wikimedia CommonsFile page
Andrew BalbirnieCC BY-SA 4.0Storm machine, CC BY-SA 4.0, via Wikimedia CommonsFile page
Arshdeep SinghGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Axar PatelGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Babar AzamCC BY 3.0ICNA, CC BY 3.0, via Wikimedia CommonsFile page
Benjamin SearsPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Bhuvneshwar KumarCC BY-SA 4.0Akshayparmar.gu, CC BY-SA 4.0, via Wikimedia CommonsFile page
Cameron GreenCC BY-SA 4.0WikiWanderer261, CC BY-SA 4.0, via Wikimedia CommonsFile page
Chris JordanCC BY 2.0Number 10, CC BY 2.0, via Wikimedia CommonsFile page
David MillerCC BY 4.0Michael Sherman, CC BY 4.0, via Wikimedia CommonsFile page
David WarnerCC BY-SA 2.0NAPARAZZI, CC BY-SA 2.0, via Wikimedia CommonsFile page
Deepak ChaharCC BY 3.0G. D. GOENKA SCHOOL, AGRA, CC BY 3.0, via Wikimedia CommonsFile page
Dinesh KarthikCC BY-SA 4.0Anand Anil, CC BY-SA 4.0, via Wikimedia CommonsFile page
Faf du PlessisPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Fakhar ZamanCC BY 3.0Pakistan Cricket Board, CC BY 3.0, via Wikimedia CommonsFile page
FazalHaq FarooqiCC BY 3.0Afghanistan Cricket Board Official, CC BY 3.0, via Wikimedia CommonsFile page
George DockrellCC BY-SA 4.0Storm machine, CC BY-SA 4.0, via Wikimedia CommonsFile page
Gerald CoetzeeCC BY-SA 4.0EGilham, CC BY-SA 4.0, via Wikimedia CommonsFile page
Glenn MaxwellCC0Storm machine, CC0, via Wikimedia CommonsFile page
Hardik PandyaGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Haris RaufPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Harry BrookPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Harry TectorCC BY-SA 4.0Storm machine, CC BY-SA 4.0, via Wikimedia CommonsFile page
Hasan MahmudPublic domainPress Information Department, Public domain, via Wikimedia CommonsFile page
Ibrahim ZadranCC BY 3.0Afghanistan Cricket Board, CC BY 3.0, via Wikimedia CommonsFile page
Ish SodhiCC BY 2.0www.davidmolloyphotography.com from Sydney, Australia, CC BY 2.0, via Wikimedia CommonsFile page
Ishan KishanCC BY 3.0Tata Ipl 2022, CC BY 3.0, via Wikimedia CommonsFile page
Ishant SharmaCC BY-SA 3.0Dee03, CC BY-SA 3.0, via Wikimedia CommonsFile page
Jacob DuffyPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Jaker Ali AnikPublic domainPress Information Department, Public domain, via Wikimedia CommonsFile page
Jamie OvertonCC BY-SA 3.0Harrias, CC BY-SA 3.0, via Wikimedia CommonsFile page
Jason BehrendorffCC BY 3.0CRICKETNEXT, CC BY 3.0, via Wikimedia CommonsFile page
Jason HolderCC BY 3.0CRICKETNEXT, CC BY 3.0, via Wikimedia CommonsFile page
Jasprit BumrahGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Jaydev UnadkatPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Jofra ArcherCC BY 3.0BBC News اردو, CC BY 3.0, via Wikimedia CommonsFile page
Jonny BairstowPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Jos ButtlerCC BY 2.0Number 10, CC BY 2.0, via Wikimedia CommonsFile page
Josh HazlewoodCC BY-SA 4.0EGilham, CC BY-SA 4.0, via Wikimedia CommonsFile page
Josh InglisCC BY 3.0Prime Video AU & NZ, CC BY 3.0, via Wikimedia CommonsFile page
Kagiso RabadaCC BY-SA 4.0EGilham, CC BY-SA 4.0, via Wikimedia CommonsFile page
Kane WilliamsonCC BY-SA 2.0Mark Lockett, CC BY-SA 2.0, via Wikimedia CommonsFile page
Keshav MaharajPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Khaleel AhmedPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Krunal PandyaCC BY 3.0Bollywood Hungama, CC BY 3.0, via Wikimedia CommonsFile page
Kuldeep YadavGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Kyle JamiesonCC BY 3.0 nzPhotographer - David Hollander, CC BY 3.0 nz, via Wikimedia CommonsFile page
Kyle MayersCC BY-SA 4.0Calistemon, CC BY-SA 4.0, via Wikimedia CommonsFile page
Liton DasCC BY-SA 4.0Nurunnaby Chowdhury (Hasive), CC BY-SA 4.0, via Wikimedia CommonsFile page
Lockie FergusonCC BY 3.0CRICKETNEXT, CC BY 3.0, via Wikimedia CommonsFile page
Lokesh RahulCC BY 3.0Bollywood Hungama, CC BY 3.0, via Wikimedia CommonsFile page
Lungi NgidiCC BY-SA 4.0Storm machine, CC BY-SA 4.0, via Wikimedia CommonsFile page
Mahendra Singh DhoniCC BY 3.0RIGI, CC BY 3.0, via Wikimedia CommonsFile page
Marco JansenCC BY-SA 4.0EGilham, CC BY-SA 4.0, via Wikimedia CommonsFile page
Marcus StoinisCC BY 2.0www.davidmolloyphotography.com from Sydney, Australia, CC BY 2.0, via Wikimedia CommonsFile page
Matt HenryCC BY-SA 4.0Blue Square Thing, CC BY-SA 4.0, via Wikimedia CommonsFile page
Matthew WadeCC BY-SA 2.0paddynapper, CC BY-SA 2.0, via Wikimedia CommonsFile page
Mayank AgarwalPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Mitchell MarshCC BY 2.0www.davidmolloyphotography.com, CC BY 2.0, via Wikimedia CommonsFile page
Mitchell StarcCC BY-SA 4.0EGilham, CC BY-SA 4.0, via Wikimedia CommonsFile page
Moeen AliCC BY 2.0www.davidmolloyphotography.com from Sydney, Australia, CC BY 2.0, via Wikimedia CommonsFile page
Mohammad NabiCC BY-SA 3.0K Popal, CC BY-SA 3.0, via Wikimedia CommonsFile page
Mohammad Rishad HossainPublic domainPress Information Department, Public domain, via Wikimedia CommonsFile page
Mohammad RizwanCC BY 3.0ICNA, CC BY 3.0, via Wikimedia CommonsFile page
Mohammed ShamiGODL-IndiaPresident's Secretariat, GODL-India, via Wikimedia CommonsFile page
Mohammed SirajGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Mujeeb Ur RahmanCC BY 3.0Afghanistan Cricket Board, CC BY 3.0, via Wikimedia CommonsFile page
Mukesh KumarCC0Devrath Magahiya, CC0, via Wikimedia CommonsFile page
Mustafizur RahmanCC BY-SA 4.0Nurunnaby Chowdhury (Hasive), CC BY-SA 4.0, via Wikimedia CommonsFile page
Namboori Tilak VarmaCC BY 4.0Buchi Babu Sana, CC BY 4.0, via Wikimedia CommonsFile page
Naseem ShahCC BY-SA 4.0Nazly Ahmed, CC BY-SA 4.0, via Wikimedia CommonsFile page
Nasum AhmedCC BY 3.0Cricfrenzy Tube, CC BY 3.0, via Wikimedia CommonsFile page
Nazmul Hossain ShantoCC BY-SA 4.0Rocky Masum, CC BY-SA 4.0, via Wikimedia CommonsFile page
Nitish ReddyCC0WikiWanderer261, CC0, via Wikimedia CommonsFile page
Patrick CumminsCC BY-SA 4.0EGilham, CC BY-SA 4.0, via Wikimedia CommonsFile page
Paul StirlingCC BY-SA 3.0Harrias, CC BY-SA 3.0, via Wikimedia CommonsFile page
Phil SaltPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Prithvi ShawCC BY 3.0CRICKETNEXT, CC BY 3.0, via Wikimedia CommonsFile page
Quinton de KockCC BY-SA 2.0NAPARAZZI, CC BY-SA 2.0, via Wikimedia CommonsFile page
Rachin RavindraCC BY-SA 4.0JaumeBG, CC BY-SA 4.0, via Wikimedia CommonsFile page
Rashid KhanCC BY 3.0Afghanistan Cricket Board, CC BY 3.0, via Wikimedia CommonsFile page
Rasikh SalamCC BY-SA 4.0Wani Moomin, CC BY-SA 4.0, via Wikimedia CommonsFile page
Ravichandran AshwinGODL-IndiaMinistry of Youth Affairs and Sports, GODL-India, via Wikimedia CommonsFile page
Ravindra JadejaGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Reece TopleyCC BY-SA 4.0Kyle Andrews, CC BY-SA 4.0, via Wikimedia CommonsFile page
Reeza HendricksCC BY-SA 2.0NAPARAZZI, CC BY-SA 2.0, via Wikimedia CommonsFile page
Rishabh PantGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Rohit SharmaGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Roston ChaseCC BY-SA 4.0Calistemon, CC BY-SA 4.0, via Wikimedia CommonsFile page
Ruturaj GaikwadGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Ryan RickeltonPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Sam CurranCC BY 2.0Number 10, CC BY 2.0, via Wikimedia CommonsFile page
Sanju SamsonGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Sean AbbottCC BY-SA 4.0Joeyjackets, CC BY-SA 4.0, via Wikimedia CommonsFile page
Shadab KhanCC BY 3.0Pakistan Cricket, CC BY 3.0, via Wikimedia CommonsFile page
Shaheen AfridiCC BY-SA 4.0Nazly Ahmed, CC BY-SA 4.0, via Wikimedia CommonsFile page
Shai HopeCC BY 3.0CRICKETNEXT, CC BY 3.0, via Wikimedia CommonsFile page
Shikhar DhawanCC BY-SA 2.0NAPARAZZI, CC BY-SA 2.0, via Wikimedia CommonsFile page
Shimron HetmyerCC BY 3.0CRICKETNEXT, CC BY 3.0, via Wikimedia CommonsFile page
Shivam DubeGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Shoriful IslamPublic domainPress Information Department, Public domain, via Wikimedia CommonsFile page
Shreyas IyerCC BY 3.0247 Entertainment, CC BY 3.0, via Wikimedia CommonsFile page
Shubman GillCC BY 3.0Bollywood Hungama, CC BY 3.0, via Wikimedia CommonsFile page
Sikandar RazaCC BY-SA 4.0Storm machine, CC BY-SA 4.0, via Wikimedia CommonsFile page
Suryakumar YadavGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Suyash SharmaCC BY 3.0Kolkata Knight Riders, CC BY 3.0, via Wikimedia CommonsFile page
T NatarajanCC BY-SA 4.0Dee03, CC BY-SA 4.0, via Wikimedia CommonsFile page
Taskin AhmedPublic domainPress Information Department, Public domain, via Wikimedia CommonsFile page
Tim SoutheeCC0Government House, Department of the Prime Minister and Cabinet, CC0, via Wikimedia CommonsFile page
Towhid HridoyCC BY 4.0Niriho khoka, CC BY 4.0, via Wikimedia CommonsFile page
Travis HeadCC BY-SA 4.0Calistemon, CC BY-SA 4.0, via Wikimedia CommonsFile page
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Tushar DeshpandeCC BY-SA 4.0Dee03, CC BY-SA 4.0, via Wikimedia CommonsFile page
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Umran MalikCC BY-SA 4.0Gorav Sharma, CC BY-SA 4.0, via Wikimedia CommonsFile page
Vaibhav SooryavanshiGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Venkatesh IyerCC BY 3.0Kolkata Knight Riders, CC BY 3.0, via Wikimedia CommonsFile page
Vijay ShankarCC BY-SA 4.0Dee03, CC BY-SA 4.0, via Wikimedia CommonsFile page
Virat KohliGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Wanindu HasarangaCC BY-SA 4.004 ATM 04, CC BY-SA 4.0, via Wikimedia CommonsFile page
Washington SundarCC BY-SA 4.0Dee03, CC BY-SA 4.0, via Wikimedia CommonsFile page
William JacksPublic domainDave Morton, Public domain, via Wikimedia CommonsFile page
Wriddhiman SahaCC BY-SA 3.0Harrias, CC BY-SA 3.0, via Wikimedia CommonsFile page
Yashasvi JaiswalGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page
Yuzvendra ChahalGODL-IndiaPrime Minister's Office, GODL-India, via Wikimedia CommonsFile page