https://www.paraballnotes.com/blog daily 1.0 2026-03-31 https://www.paraballnotes.com/blog/situational-hitting-how-important-is-it-to-avoid-strikeouts monthly 0.5 2026-03-31 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1bd51936-f9d8-41e5-8275-ea0beb9292c4/Kwan.jpeg Blog - Situational Hitting: How Important Is it to Avoid Strikeouts? - Make it stand out Photo Credit: Cleveland Guardians https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ed1e5813-6935-4d16-9f01-10639e2bddfc/SitHit1.jpg Blog - Situational Hitting: How Important Is it to Avoid Strikeouts? - Make it stand out Figure 1: Get the Job Done % vs. 2025 Strikeout Rate https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7c38f1a7-8d2b-4a1f-8b11-effcedd509c5/SituHit2.jpg Blog - Situational Hitting: How Important Is it to Avoid Strikeouts? - Make it stand out Figure 2: Get the Job Done % vs 2025 Strikeout Ratem, with key players labelled https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/240be1a2-d339-4821-a378-f3ab8cd4496f/SituHit3.jpg Blog - Situational Hitting: How Important Is it to Avoid Strikeouts? - Make it stand out Figure 3: Impact of the batter handedness in getting the job done https://www.paraballnotes.com/blog/which-of-the-big-five-european-soccer-leagues-has-the-lowest-draw-percentage monthly 0.5 2026-02-20 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ae36e56e-7686-479e-a701-ca99c42e861a/pep.jpg Blog - Which of the Big Five European Soccer Leagues Has the Lowest Draw Percentage? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1e1c36db-4b63-447a-b159-6f0f3ffb8de9/snippic.jpg Blog - Which of the Big Five European Soccer Leagues Has the Lowest Draw Percentage? - Make it stand out Figure 1: Draw Percentages in Europe’s Big Five Leagues Over the Past 21 Seasons https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bbfb5558-8a0d-452c-8664-a1f0bd994b62/socceranalysis.png Blog - Which of the Big Five European Soccer Leagues Has the Lowest Draw Percentage? - Make it stand out Table 1: Draw Percentages in Europe’s Big Five Leagues, Grouped into Two Five-Year Periods (2004–2008 and 2021–2025) https://www.paraballnotes.com/blog/dollar-per-war-20252026-how-much-are-mlb-teams-willing-to-pay-this-offseason monthly 0.5 2026-01-26 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/312cdeb5-b387-42db-b1b3-840a9f27928c/codybellinger.jpg Blog - Dollar Per WAR 2025/2026: How Much Are MLB Teams Willing to Pay This Offseason? - Make it stand out Photo Credit: Brad Penner/Imagn Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e18dee06-8d5c-4ab9-bfb0-6629529fa7e8/AAV1.jpg Blog - Dollar Per WAR 2025/2026: How Much Are MLB Teams Willing to Pay This Offseason? - Make it stand out Figure 1: AAV ($M) per fangraphs projected WAR among 2026 MLB free agents with at least 2.0 projected WAR https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/50b069fe-fba0-4a45-9e83-108005abcd55/Graph1WAR.png Blog - Dollar Per WAR 2025/2026: How Much Are MLB Teams Willing to Pay This Offseason? - Make it stand out Figure 2: Dollar per WAR for all 2026 free agents projected 1+ WAR https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0ba330e3-c61e-4a94-b079-1525c846dca8/WARgraph.jpg Blog - Dollar Per WAR 2025/2026: How Much Are MLB Teams Willing to Pay This Offseason? - Make it stand out Figure 3: Trend in Dollar/WAR from 2018 to 2026 https://www.paraballnotes.com/blog/nfl-2-for-1-how-much-time-should-you-leave-on-the-clock-to-get-another-possession-in-the-first-half monthly 0.5 2025-12-30 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/83e40b11-8417-403c-a691-0ccbfa048049/seanmcvay.jpeg Blog - NFL 2-for-1: How Much Time Should You Leave on The Clock to Get Another Possession in The First Half? - Make it stand out Photo Credit: Kevork Djansezian/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3a80c64b-558c-4f2d-84d2-e5cfbea98879/NFLclock.png Blog - NFL 2-for-1: How Much Time Should You Leave on The Clock to Get Another Possession in The First Half? - Make it stand out Figure 1: Probability that the opponent gets another drive, based on the time remaining at the start of the current drive in NFL second quarters over the past 25 seasons https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a3c5d2d9-b84b-492d-920e-e6c8d9cb1e83/Tab1NFLDrive.png Blog - NFL 2-for-1: How Much Time Should You Leave on The Clock to Get Another Possession in The First Half? - Make it stand out Table 1: A breakdown of the probability that the opponent will get a drive, the opponent’s next drive expected points, and the probability that the opponent has a drive that does not result in a non-scoring clock runout https://www.paraballnotes.com/blog/should-you-bring-the-infield-in-with-runners-on-2nd-and-3rd-and-less-than-2-outs monthly 0.5 2025-12-29 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/909a12d1-a203-4eb0-9b55-1175cd65b874/infieldin.jpeg Blog - Should You Bring The Infield in With Runners on 2nd and 3rd and Less Than 2 Outs? - Make it stand out Photo Credit: Jim McIsaac/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/47decb74-b167-41ba-bda2-4b176ca55834/InfieldIn.png Blog - Should You Bring The Infield in With Runners on 2nd and 3rd and Less Than 2 Outs? - Make it stand out Table 1: Infield in analysis in 2nd and 3rd with less than 2 outs https://www.paraballnotes.com/blog/dollar-per-war-2025-2026 monthly 0.5 2025-11-28 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b2945d58-eb6d-46b9-8e30-b043826b611f/kyletucker.jpg Blog - Dollar Per WAR 2025/2026 - Fangraphs Perceptions - Make it stand out Photo Credit: Michael Reaves/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/be723053-6fda-4ba4-bab3-13401e225e47/dollarWAR.jpg Blog - Dollar Per WAR 2025/2026 - Fangraphs Perceptions - Make it stand out Figure 1: Dollar/WAR (y-axis) versus WAR (x-axis) https://www.paraballnotes.com/blog/where-does-superstar-shohei-ohtani-rank-in-the-2025-xwfip-leaderboard monthly 0.5 2025-10-17 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d048feb4-59e6-4a81-ba06-36d94eb10d97/Ohtani.webp Blog - Where Does Superstar Shohei Ohtani Rank in The 2025 xwFIP Leaderboard? - Make it stand out Photo Credit: Harry How/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c7608240-a048-4e9a-922e-739dd8034d6c/Tab1 Blog - Where Does Superstar Shohei Ohtani Rank in The 2025 xwFIP Leaderboard? - Make it stand out Table 1: 2025 xwFIP full season rankings among all pitchers with 40+ innings pitched https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/eae936ef-9b11-4fd8-8f44-f1e3432ab7f1/Tab2.png Blog - Where Does Superstar Shohei Ohtani Rank in The 2025 xwFIP Leaderboard? - Make it stand out Table 2: Top 30 starters in 2025 by xwFIP (min. 40 innings pitched and 8 games started) https://www.paraballnotes.com/blog/why-the-cuban-missile-is-having-a-career-year monthly 0.5 2025-09-01 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/84bb17e5-66be-45b0-bb0b-e1612b00346f/Chapman.jpeg Blog - Why the Cuban Missile Is Having a Career Year - Make it stand out Photo Credit: Orlando Ramirez/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8dd19cb3-5fdb-4a9e-922d-55bbe7bb9ab2/Skjermbilde+2025-09-01+kl.+19.02.59.png Blog - Why the Cuban Missile Is Having a Career Year - Make it stand out Table 1: 2025 xwFIP leaders through August, min 40 innings pitched https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ff49d904-6a5a-4ed1-8b77-4bf1ae8ea4a0/Skjermbilde+2025-09-01+kl.+19.03.13.png Blog - Why the Cuban Missile Is Having a Career Year - Make it stand out Table 2: 2025 xwFIP leaders among starting pitchers, minimum 40 innings pitched and 10 starts https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/90c5e976-0603-482f-a063-8e9411392d56/Chap1.png Blog - Why the Cuban Missile Is Having a Career Year - Make it stand out Table 3: Baseball Savant statistics for Aroldis Chapman in the Statcast era https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4db90fc6-1eaf-4d8d-864a-28e0c4e4bbb0/Chap2.png Blog - Why the Cuban Missile Is Having a Career Year - Make it stand out Figure 1: Aroldis Chapman pitch breakdown over his career https://www.paraballnotes.com/blog/what-were-the-top-trade-deadline-pitching-aquisitions monthly 0.5 2025-08-04 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/229b9a44-9b4b-4547-a2ec-27a845cbed70/rogers.jpeg Blog - What Were The Top Trade Deadline Pitching Acquisitions? - Make it stand out Photo Credit: Brad Penner/Imagn Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b3074b79-7fe4-4fd4-8f92-91ddec6fb562/july_xwfip_tab1.png Blog - What Were The Top Trade Deadline Pitching Acquisitions? - Make it stand out Table 1: 2025 xwFIP rankings through July (min 30 innings pitched) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ff941b61-8bd6-4b9e-9eff-598ddd38649a/july_xwFIP_tab2.png Blog - What Were The Top Trade Deadline Pitching Acquisitions? - Make it stand out Table 2: 2025 xwFIP leaders among starters (min 30 innings pitches and 7 games started) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3d811272-0cf5-4a36-98ef-42839b0a0d8f/july_xwFIP_tab3.png Blog - What Were The Top Trade Deadline Pitching Acquisitions? - Make it stand out Table 3: Top 10 pitchers traded at the trade deadline (min 30 innings pitched) https://www.paraballnotes.com/blog/who-is-the-best-pitcher-in-baseball-at-the-halfway-point-of-the-season monthly 0.5 2025-08-04 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ebbd8235-713d-441d-9009-fd28f43a96aa/01j97kexzjs4skj6kkvz.jpeg Blog - Who is The Best Pitcher in Baseball at the Halfway Point of the Season? - Make it stand out Photo Credit: Thomas Shea/Imagn Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cfb79d36-9c64-4735-b677-d71666a4ecd3/Skjermbilde+2025-07-01+kl.+22.42.13.png Blog - Who is The Best Pitcher in Baseball at the Halfway Point of the Season? - Make it stand out Table 1: 2025 xwFIP leaders through June, minimum 20 innings pitched (IP) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/84e0c486-a3ff-4aed-a460-cf71b0d6b70f/Skjermbilde+2025-07-01+kl.+22.45.03.png Blog - Who is The Best Pitcher in Baseball at the Halfway Point of the Season? - Make it stand out Table 2: 2025 xwFIP starting pitcher leaderboard through June, minimum 20 innings pitched (IP) and 6 games started https://www.paraballnotes.com/blog/xwfip-may monthly 0.5 2025-06-02 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/86cae1bb-7f95-46cb-a3cd-ab2390a8ef4a/yarPicture.jpeg Blog - There’s a Hidden Gem at the Back of the Yankees Rotation - Make it stand out Photo Credit: MLB.com https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/83be41a9-3b0e-4c3a-8b1c-f0ff36f2b851/Tab1 Blog - There’s a Hidden Gem at the Back of the Yankees Rotation - Make it stand out Table 1: xwFIP leaderboard through May 30, 2025. Top 30 pitchers with min. 15 innings pitched https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1954df8a-7675-4fe6-8107-5b65f697c3fc/Tab2 Blog - There’s a Hidden Gem at the Back of the Yankees Rotation - Make it stand out Table 2: xwFIP leaderboard through May 30, 2025. Top 30 starters with min. 4 games started https://www.paraballnotes.com/blog/is-mason-miller-still-king monthly 0.5 2025-06-01 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/185ccda3-59c5-404b-ae30-ae702f8da4ff/mason+miller.jpg Blog - Is Mason Miller Still King? - Make it stand out Photo Credit: MLB.com, Oakland A’s, GWUsports.com https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e72fc685-c3e7-4f19-b64e-3269d9ff7860/Skjermbilde+2025-05-13+kl.+22.21.19.png Blog - Is Mason Miller Still King? - Make it stand out Table 1: Top 30 pitchers by xwFIP through 4/30/25 with at least 8 IP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b35c8e40-5947-4a84-a371-cfac149e8c13/Skjermbilde+2025-05-13+kl.+22.41.51.png Blog - Is Mason Miller Still King? - Make it stand out Table 2: Top 30 starters by xwFIP through 4/30/25 with at least 4 starts https://www.paraballnotes.com/blog/what-is-the-most-likely-march-madness-bracket monthly 0.5 2025-03-19 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5975f7f5-dd0e-49e5-baad-0d77198f2707/cooperflag.jpg Blog - What is The Most Likely March Madness Bracket? - Make it stand out Photo Credit: New York Times https://www.paraballnotes.com/blog/on-two-point-conversion-attempts-should-nfl-teams-run-or-pass-more monthly 0.5 2025-02-25 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6f6402d4-c69e-44c6-9cb8-e02ee13d3f2a/Broncostwopoint.jpg Blog - On Two-Point Conversion Attempts, Should NFL Teams Run or Pass More? - Make it stand out Photo Credit: NFL https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/157b5ea6-0541-4691-bddc-47fb61b95367/Converted.JPG Blog - On Two-Point Conversion Attempts, Should NFL Teams Run or Pass More? - Make it stand out Table 1: Run/Pass breakdown of converted two-point plays https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/100746ce-cf1e-4859-bfea-3c5b27b8b72b/Failed.JPG Blog - On Two-Point Conversion Attempts, Should NFL Teams Run or Pass More? - Make it stand out Table 2: Run/Pass breakdown of failed two-point plays https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2572ca02-9b47-4f40-a4e1-01f4b3bac2f9/Conversion+Rate.JPG Blog - On Two-Point Conversion Attempts, Should NFL Teams Run or Pass More? - Make it stand out Table 3: Two-point conversion statistics (1999 though 2024) https://www.paraballnotes.com/blog/how-to-stop-saquon monthly 0.5 2025-02-05 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c79f3409-06a6-4e3d-b913-5c4ae740e74c/Saquon.jpg Blog - How To Stop Saquon Barkley?? - Make it stand out Photo Credit: Mitchell Leff/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1dfbc588-119d-4256-b8db-5595aea98f7b/TabSaq2.JPG Blog - How To Stop Saquon Barkley?? - Make it stand out Tables 1a and Table 1b: Barkley’s rush location distribution relative to league average https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/076190fc-ca6d-4d4e-a979-c417f74ab718/STab1.JPG Blog - How To Stop Saquon Barkley?? - Make it stand out Table 2: Barkley Rush%, EPA, and WPA for each down and distance combination in which the Eagles had at least 10 plays in 2024 https://www.paraballnotes.com/blog/who-has-better-post-season-numbers-brady-or-mahomes monthly 0.5 2025-05-14 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fd468bb5-1cfb-4a41-a3aa-5ebd4489bd32/BradyMahomes.png Blog - Who Has Better Post-Season Numbers - Brady or Mahomes? - Make it stand out Photo Credit: sportingnews.com https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/862a2847-3614-41de-8212-2b753754a520/MahomesTab1.JPG Blog - Who Has Better Post-Season Numbers - Brady or Mahomes? - Make it stand out Table 1: Brady vs. Mahomes Postseason Passing Comparison (17-Game Averages) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a9aa28b4-c499-4ab7-af30-a11d577e7691/Tab2Mahomes.JPG Blog - Who Has Better Post-Season Numbers - Brady or Mahomes? - Make it stand out Table 2: Brady vs. Mahomes Postseason Rushing Comparison (17-Game Averages) https://www.paraballnotes.com/blog/what-do-the-new-york-giants-need-to-do-to-become-a-playoff-contender monthly 0.5 2025-01-29 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/98191e66-757b-4cf4-8f16-756c16ae0d16/DEBOLL.jpg Blog - What Do the New York Giants Need to Do to Become a Playoff Contender? - Make it stand out Photo Credit: Luke Hales/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5eac2b4b-c0bf-4f3a-a9c9-4a1150b1af79/giantsTab1.JPG Blog - What Do the New York Giants Need to Do to Become a Playoff Contender? - Make it stand out Table 1: Giants positional comparison to the Chiefs, Lions, and Eagles. The Avg Diff is the Giants AV minus the average value of the other three teams. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ac1e98c3-b7f1-41da-9ed5-62886bef632e/LinRegGiants.jpg Blog - What Do the New York Giants Need to Do to Become a Playoff Contender? - Make it stand out Figure 1: Linear Regression of Team Wins vs Team Total AV (excluding special teams) https://www.paraballnotes.com/blog/do-nfl-teams-run-the-ball-too-often-on-2nd-and-long monthly 0.5 2025-01-29 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bce0339a-29e2-470e-821d-375cadbc77ea/Jayden.jpg Blog - Do NFL Teams Run the Ball Too Often on 2nd and Long? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f1bcd676-1f3f-4b52-92de-542d93594384/Tab1NFL.JPG Blog - Do NFL Teams Run the Ball Too Often on 2nd and Long? - Make it stand out Table 1: Analysis of Second Down Pass Plays from 2022 to 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/60298d0e-df64-4a9e-8bf9-34aabe104fe5/Tab2NFL.JPG Blog - Do NFL Teams Run the Ball Too Often on 2nd and Long? - Make it stand out Table 2: Analysis of Second Down Rush Plays from 2022 to 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ab7e2e63-7404-452c-81cd-6a18d611a2ab/Pass3.png Blog - Do NFL Teams Run the Ball Too Often on 2nd and Long? - Make it stand out Table 3: Analysis of the Relative Performance of Second Down Pass and Rush Plays from 2022 to 2024 https://www.paraballnotes.com/blog/can-volpe-become-a-better-base-stealer monthly 0.5 2025-01-06 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bc2ac119-c3c2-4f37-906f-b6f674d99aa5/volpe.jpg Blog - Can Volpe Become a Better Base-Stealer? - Make it stand out Photo Credit: Charles Wenzelberg/New York Post https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2f2081c0-68f0-49ec-8d0e-efef5fe033cc/volpeSBtba.JPG Blog - Can Volpe Become a Better Base-Stealer? - Make it stand out Table 1: Top 30 base stealers in 2024 by SB Run Value. https://www.paraballnotes.com/blog/man-vs-zone-defense-which-one-is-most-efficient-against-passing-plays monthly 0.5 2024-12-30 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0219d840-07dc-4d4a-82ce-3d16047231b4/Ravens.jpg Blog - Man vs. Zone Defense: Which One Is Most Efficient Against Passing Plays? - Make it stand out Photo Credit: USA Today https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f5edd35e-287b-4a4f-afb9-76cc2b855e75/Tabl1NFL.png Blog - Man vs. Zone Defense: Which One Is Most Efficient Against Passing Plays? - Make it stand out Table 1: Evaluation of Man Defense against passing plays (2022 and 2024 data was not available) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f7b9e9f0-f754-4c4a-911e-7002344d1696/Tabl2NFL.png Blog - Man vs. Zone Defense: Which One Is Most Efficient Against Passing Plays? - Make it stand out Table 2: Evaluation of Zone Defense against passing plays (2022 and 2024 data was not available) https://www.paraballnotes.com/blog/dollarwar-in-the-20242025-mlb-free-agency-market monthly 0.5 2024-12-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/49abbe61-2e99-43a9-ac55-49f7825002ae/SotoMets.jpg Blog - Dollar/WAR in the 2024/2025 MLB Free Agency Market - Make it stand out Photo Credit: Marca https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9ab3c42d-18ec-49a2-811e-b4d622cd2835/dollarWAR.jpg Blog - Dollar/WAR in the 2024/2025 MLB Free Agency Market - Make it stand out Figure 1: Dollar per WAR for 2024/2025 free agents. Dollars are in Millions of USD per season. CBT AAV is used for contracts with deferred payments. Fangraphs 2025 WAR projection is used as the WAR approximation and the data is shown for players projected at least 2 WAR in 2025. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2c5fca88-6a4a-489d-8e05-6bd9024172e0/DollarProjectedWAR.jpg Blog - Dollar/WAR in the 2024/2025 MLB Free Agency Market - Make it stand out Figure 2: Dollar per WAR trend for free agents https://www.paraballnotes.com/blog/how-will-roki-sasaki-fare-in-the-mlb monthly 0.5 2024-11-17 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/884f7f0a-c958-4f20-bec3-6ff35dd13cfa/roki-sasaki-japan-pitches-pool-93324979_7979d0+%281%29.jpeg Blog - How Will Roki Sasaki Fare in the MLB? - Make it stand out Photo Credit: AP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/aaf4125c-f14f-4ca5-bd5b-203ccd3c7a19/Skjermbilde+2024-11-18+kl.+01.02.46.png Blog - How Will Roki Sasaki Fare in the MLB? - Make it stand out Table 1: Yamamoto’s 3-season NPB average, Paraball’s 2024 MLB prediction for him based on the historical statistics of Yu Darvish and Masahiro Tanaka, and Yamamoto’s actual 2024 results https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/72fdfe65-4d4a-46c6-892e-eed4e9d0e13d/Skjermbilde+2024-11-18+kl.+01.03.46.png Blog - How Will Roki Sasaki Fare in the MLB? - Make it stand out Table 2: Sasaki’s 3-season average in NPB and his MLB projections based on historical data from Yu Darvish, Masahiro Tanaka, and Yoshinobu Yamamoto https://www.paraballnotes.com/blog/who-is-the-best-quarterback-in-the-qbr-era-manning-brady-rodgers-or-mahomes monthly 0.5 2024-11-12 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/22d884f7-01e0-4121-850a-06cd130b2b5a/Brady.jpg Blog - Who is the Best Quarterback in the QBR era: Manning, Brady, Rodgers, or Mahomes? - Make it stand out Photo Credit: Mike Ehrmann/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/348b718d-4269-4ffd-a913-9fbfe9851b63/bRADY1.jpg Blog - Who is the Best Quarterback in the QBR era: Manning, Brady, Rodgers, or Mahomes? - Make it stand out Figure 1: QBR’s for each of Manning, Brady, Rodgers, Mahomes, and the league leader for each season since 2006 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/64afe4b5-9f57-4f66-8330-42d25e009879/Brady2.png Blog - Who is the Best Quarterback in the QBR era: Manning, Brady, Rodgers, or Mahomes? - Make it stand out Table 1: Peak-to-Peak comparison of Manning, Brady, Rodgers, and Mahomes https://www.paraballnotes.com/blog/how-should-the-yankees-pitch-to-the-dodgers monthly 0.5 2024-10-25 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d118b189-32c7-4f91-9b93-42001f239b95/Ohtani.jpg Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Photo Credit: Megan Briggs/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e561c8a8-d534-432a-b141-98c978911f97/Shohei1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 1: Ohtani’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ba43aa4d-ea84-4cc7-a64d-97e2131b332a/Ohtani+2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 1: Ohtani’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c7f36e3d-23bb-4d94-81e4-8db2ebb7ccd0/Ohtani3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 2: Ohtani’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e00af487-f66c-4f05-b327-87c5637becfa/Mookie1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 2: Betts’ Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/02aa413e-b9fc-4f67-8e4d-f24d093fa38f/Mookie2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 3: Betts’ xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d3bddf20-13fd-4bf4-ab63-7708dac19cdc/Mookie3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 4: Betts’ xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1f6a4e76-b5ed-4429-92f5-beda47c1bf95/Freddie1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 3: Freeman’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f3409e56-d856-45fe-a259-f11d20f67821/Freddie2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 5: Freeman’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a9a30baa-4f5a-405e-be71-b7e0c0549276/Freddie3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 6: Freeman’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3a8c0eff-b81d-4447-b6c6-706d6fec8aaa/Theo1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 4: Teoscar Hernandez’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/19835812-0d5f-438e-a88c-8a7d6259fb3d/Theo2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 7: Teoscar Hernandez’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7be64f90-2cbd-4985-8bd4-bf0bea18bd13/Theo3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 8: Teoscar Hernandez’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fbab0539-fc89-4b36-a4b1-7189a7852413/May1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 5: Muncy’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/90ab6147-5418-4969-bc14-0d391653b8c2/Muncy2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 9: Muncy’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/81b223e4-a45e-46f3-a204-7f0ff8ab7df6/Muncy3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 10: Muncy’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0e1ca6d8-c11f-49fe-a32a-66d09844c450/Tommy1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 6: Edman’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ad0c1dc0-1ee5-41a1-8fb4-f5a148166b5d/Tommy2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 11: Edman’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4660d817-ff23-4d30-b7b7-b9ec9c109ec2/Tommy3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 12: Edman’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7f4d7da0-65a4-4b97-9b04-01695e041e74/Will1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 7: Smith’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b1fa1976-d8ff-4333-91fd-c89612fcfe0b/Will2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 13: Smith’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0855b491-e3c1-40d2-a001-6ac95d1a9847/Will3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 14: Smith’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ad82a4bd-d906-4477-aee2-f8cbcde3994d/Kike1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 8: Kike Hernandez’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c2e16a4b-60df-4307-83aa-09ee773323de/Kike2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 15: Kike Hernandez’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a213681a-e73f-43db-a48e-7b79eafc36e9/Kike3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 16: Kike Hernandez’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0e9be1ad-6f53-44dc-a485-a6a9e74d1044/Gavin1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 9: Lux’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/15137595-a10d-4872-8ce1-0a2b1398771b/Gavin2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 17: Lux’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b3e6754a-7dc4-4c59-94c7-b0f7459ccd3c/Gavin3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 18: Lux’s xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cee46b16-c226-4812-9905-e2a3b903f324/Andy1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 10: Pages’ Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/da5bc99c-e584-4a84-b5c1-05656d4bc014/Andy2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 19: Pages’ xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/349aa0b0-57e7-40a9-aa34-2e7cb3390b7a/Andy3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 20: Pages’ xwOBA heatmap against LHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/835b71eb-9394-4a69-b58d-709adb0a4e62/Chris1.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Table 11: Taylor’s Run Value against each pitch type in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f479dbbe-19c1-446d-a946-7b9f598b8701/Chris2.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 21: Taylor’s xwOBA heatmap against RHPs in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8bde6ae6-7609-4188-a778-1c2f2527fa59/Chris3.png Blog - How Should The Yankees Pitch Against The Dodgers? - Make it stand out Figure 22: Taylor’s xwOBA heatmap against LHPs in 2024 https://www.paraballnotes.com/blog/which-batters-swing-most-and-least-on-first-pitches monthly 0.5 2024-10-14 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/44d42831-52d4-471f-a3e0-37718060fde8/KWAN.jpg Blog - Which Batters Swing Least Often and Most Often on First Pitches? - Make it stand out Photo Credit: AP Photo/Charlie Riedel https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a52009e4-4671-44ec-b078-c19f3df95cad/LowSwing2.JPG Blog - Which Batters Swing Least Often and Most Often on First Pitches? - Make it stand out Table 1: 15 batters with the lowest first pitch swing percentage in the last two seasons (among 2024 qualified hitters) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3a63c0f0-1c2b-43de-916f-b1e3145cdc0d/Highswing2.JPG Blog - Which Batters Swing Least Often and Most Often on First Pitches? - Make it stand out Table 2: 15 batters with the highest first pitch swing percentage in the last two seasons (among 2024 qualified hitters) https://www.paraballnotes.com/blog/which-playoff-teams-have-the-most-dominant-pitching-staffs monthly 0.5 2024-10-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5eb7de76-7a17-40a2-b662-d03af5e37293/KL6KAEUMHPSNTE4NYZF3DZXT5Q.jpg Blog - Which Playoff Teams Have the Most Dominant Pitching? - Make it stand out Photo Credit: Frank Franklin II/Associated Press https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bf18cb9f-eaa2-4443-8254-981eeda44dcf/xwFIPOct1.JPG Blog - Which Playoff Teams Have the Most Dominant Pitching? - Make it stand out Table 1: 2024 Regular Season xwFIP top 30 pitchers (min. 50 innings pitched) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cac0b3ef-9047-4612-a173-4cd3650d333b/xwFIPOct2.JPG Blog - Which Playoff Teams Have the Most Dominant Pitching? - Make it stand out Table 2: 2024 Regular Season xwFIP top 30 starting pitchers (min 15 starts and 85 innings pitched) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b26b05e7-7250-41c6-b8b4-db5c99c3fcf0/xwFIPOct3.JPG Blog - Which Playoff Teams Have the Most Dominant Pitching? - Make it stand out Table 3: Top 30 pitchers still remaining in the 2024 playoffs (min 50 innings pitched) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c48c4726-9531-409b-a680-c6ee735852f9/xwFIPOct4.JPG Blog - Which Playoff Teams Have the Most Dominant Pitching? - Make it stand out Table 4: The number of elite pitchers and starting pitchers each playoff team has, along with the team’s pitcher value score https://www.paraballnotes.com/blog/evaluating-fangraphs-mlb-play-off-projections monthly 0.5 2024-09-16 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/97271a62-6ebf-4f3e-b8f7-554eb98f97e3/astros.jpg Blog - Evaluating Fangraphs Playoff Projections - Make it stand out Photo Credit: Andrew Dieb/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c723ecf5-a4b8-4928-8834-d6e90d21ba71/percenttab.JPG Blog - Evaluating Fangraphs Playoff Projections - Make it stand out Table 1: Model performance when tested on several known cases https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a695ec96-bb79-45ca-8ef7-fcccfadb3af6/tablewinperc.JPG Blog - Evaluating Fangraphs Playoff Projections - Make it stand out Table 2: Paraball Rest of Season (ROS) Win % compared to Fangraphs ROS Win % https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/92656b95-e103-478d-b4e0-0c70e8dc388e/updatedparaballmodel.jpg Blog - Evaluating Fangraphs Playoff Projections - Make it stand out Figure 1: A comparison of the Paraball ROS Model’s Win % (y-axis) versus the Fangraphs’ ROS Win % (x-axis) for each team. The 45 degree line is included to visualize the differences between the two models. https://www.paraballnotes.com/blog/introducing-pwar-and-using-it-to-predict-who-wins-cy-young monthly 0.5 2024-09-16 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e5ea2e01-a6c2-498b-9e90-112c6a076df1/skubal.jpg Blog - Introducing pWAR and Using It to Predict Who Wins Cy Young - Make it stand out Photo Credit: Any Lyons/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ccbf05af-dd4d-4927-bbfb-b80bf06a146e/pWAR1.JPG Blog - Introducing pWAR and Using It to Predict Who Wins Cy Young - Make it stand out Table 1: MLB xwFIP leaderboard for 2024 (minimum 40 innings pitched) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7cef156d-9ab0-464f-ad98-c521fabcc88d/Pwar2.JPG Blog - Introducing pWAR and Using It to Predict Who Wins Cy Young - Make it stand out Table 2: Top 30 Starting Pitchers in 2024, ranked by xwFIP (minimum 14 starts and 40 IP) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0b26dddb-7d77-49e2-8030-3cffb4e797aa/PWAR3.JPG Blog - Introducing pWAR and Using It to Predict Who Wins Cy Young - Make it stand out Table 3: The 30 most valuable pitchers in the MLB, according to pWAR https://www.paraballnotes.com/blog/does-changing-your-batspeed-impact-your-offensive-production monthly 0.5 2024-08-26 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/01afd47e-3c24-41bf-937c-85c15666667d/stanton.jpg Blog - Does Changing Your Batspeed Impact Your Offensive Production? - Make it stand out Photo Credit: Latinweb https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/21625e80-8e33-4cb8-9b94-9260bf6dacb8/batspeed.jpg Blog - Does Changing Your Batspeed Impact Your Offensive Production? - Make it stand out Figure 1: Batspeed versus count for Ohtani, Judge, Stanton and Soto https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f8dc7f11-2e47-4b4e-af8a-399d58db646b/batspeedReg.jpg Blog - Does Changing Your Batspeed Impact Your Offensive Production? - Make it stand out Figure 2: Regression analysis of batspeed versus count https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5d0df377-edbf-43f1-ae25-7d326a11c370/tableBatSpeed.JPG Blog - Does Changing Your Batspeed Impact Your Offensive Production? - Make it stand out Table 1: xwOBA grouped by hitter’s counts, pitcher’s counts, and neutral counts https://www.paraballnotes.com/blog/the-value-of-lebron-durant-and-curry-the-us-olympic-trio monthly 0.5 2025-03-24 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c753cc56-e748-4fee-8bc5-f5aee30a94d5/KD.jpg Blog - The Value of LeBron, Durant, and Curry - The US Olympic Trio - Make it stand out Photo Credit: Mark J. Terrill/LAPRESSE https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/661bc388-ab28-4ade-bd52-f344d54f0c13/NBAVorpGraph.jpg Blog - The Value of LeBron, Durant, and Curry - The US Olympic Trio - Make it stand out Figure 1: Value over Replacement Player (VORP) for LeBron, Durant, Curry, and the NBA leader for each season since 2003 https://www.paraballnotes.com/blog/should-clay-holmes-be-the-yankees-closer monthly 0.5 2024-08-13 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f2c7fd33-aa83-4aec-b748-996b9de794f7/clayholmes.jpg Blog - Should Clay Holmes Be the Yankees Closer? - Make it stand out Photo Credit: AP Photo/Adam Hunger https://www.paraballnotes.com/blog/what-were-the-best-trade-deadline-pitching-acquisitions-according-to-xwfip monthly 0.5 2024-08-12 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/04ed15ef-1588-4d34-827d-f0286f291a92/Jack.jpg Blog - What Were The Best Trade Deadline Pitching Acquisitions, According to xwFIP? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8547ed62-da55-4908-9894-df844a60ee07/xwfipJuly1.JPG Blog - What Were The Best Trade Deadline Pitching Acquisitions, According to xwFIP? - Make it stand out Table 1: The top ten trade deadline pitching acquisitions according to xwFIP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b27f792f-ce31-4222-9276-11a5c7f923fb/xwfipJuly2.JPG Blog - What Were The Best Trade Deadline Pitching Acquisitions, According to xwFIP? - Make it stand out Table 2: The top 30 pitchers in 2024 ranked by xwFIP, with min. 40 innings pitched https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4cd99280-4d05-4fc4-9aca-8911cd9c6246/xwFIPJuly3.JPG Blog - What Were The Best Trade Deadline Pitching Acquisitions, According to xwFIP? - Make it stand out Table 3: The top 30 starting pitchers in 2024 ranked by xwFIP, with min. 40 innings pitched https://www.paraballnotes.com/blog/quantifying-momentum-in-baseball monthly 0.5 2024-08-08 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/945242c8-b4e4-4ff4-8bb9-1e4add766025/sotosoto.jpg Blog - Quantifying Momentum in Major League Baseball - Make it stand out Photo Credit: Seth Wenig/AP Photo https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/56ac2474-5e03-4ec0-9d08-0e9a81836c0e/graphmomentum.jpg Blog - Quantifying Momentum in Major League Baseball - Make it stand out Figure 1: Quadratic relationship between xwOBA in RISP situations and score difference https://www.paraballnotes.com/blog/opinion-how-we-can-evaluate-base-stealing-more-precisely monthly 0.5 2024-08-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a0a2e8f9-bc4b-4cbb-9f1c-fad3f1383b66/delacruz.jpg Blog - Opinion: How Can We Evaluate Base Stealing More Precisely? - Make it stand out Photo Credit: John Fisher/Getty Images https://www.paraballnotes.com/blog/should-you-use-a-one-handed-backhand- monthly 0.5 2024-07-15 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f5af63da-734f-4cf0-8c89-325588553305/Musetti.jpg Blog - Should You Use a One-Handed Backhand? - Make it stand out Photo Credit: AP Photo/Alberto Pezzali https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b88d13ae-36dc-4d50-9a45-0c3ba302f8c6/TennisFig1.jpg Blog - Should You Use a One-Handed Backhand? - Make it stand out Figure 1: The number of men’s tennis players (y-axis) with one-handed backhands in the ATP top 20 from 2005 to present https://www.paraballnotes.com/blog/the-second-best-starter-in-baseball-is-a-converted-reliever monthly 0.5 2024-07-10 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3b8eec22-bdb6-458b-893a-25d364573020/crochet.jpg Blog - The Second Best Starter in Baseball is a Converted Reliever - Make it stand out Photo Credit: John J. Kim/Chicago Tribune https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1da07be0-f6e9-4c59-9868-3d8864f82138/Tabl1xwfip.JPG Blog - The Second Best Starter in Baseball is a Converted Reliever - Make it stand out Table 1: xwFIP Leaderboard through June 2024, with all pitchers having pitched at least 30 innings (IP) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c1e0cbc7-bd96-4aa6-a315-105cc7489246/Tab2xwFIP222.JPG Blog - The Second Best Starter in Baseball is a Converted Reliever - Make it stand out Table 2: xwFIP Starting Pitcher Leaderboard through June 2024, including all pitchers with at least 50 innings pitched (IP) https://www.paraballnotes.com/blog/is-yankee-stadium-a-lefty-friendly-ballpark monthly 0.5 2024-07-08 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7d00ae42-b635-45ff-9823-f70658353ae1/verdugp.jpg Blog - Is Yankee Stadium a Lefty-Friendly Ballpark? - Make it stand out Photo Credit: AP Photo/Mary Altaffer https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4387439d-3076-4483-b875-c6c297a2f418/table1ys.JPG Blog - Is Yankee Stadium a Lefty-Friendly Ballpark? - Make it stand out Table 1: League-Wide and Yankee Stadium (YS) wOBAs against RHPs and LHPs since 2015 (Statcast) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7373df5e-0a5d-4b25-87ae-27cf4d11e402/table2ys.JPG Blog - Is Yankee Stadium a Lefty-Friendly Ballpark? - Make it stand out Table 2: League-Wide and Yankee Stadium normalized wOBACon 3-year rolling average (Baseball Savant) https://www.paraballnotes.com/blog/why-are-intentional-walks-excluded-from-woba monthly 0.5 2024-06-24 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a8b38f07-9511-4ebf-895f-4d3f861c103c/rizzo.jpg Blog - Why Are Intentional Walks Excluded from wOBA? - Make it stand out Photo Credit: Adam Hunger/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6770f263-1d83-4e80-b8f2-76617f0c16c3/RunExpectancyMatrix.png Blog - Why Are Intentional Walks Excluded from wOBA? - Make it stand out Table 1: Run Expectancy of the 24 game states (RE24) in 2022 https://www.paraballnotes.com/blog/where-does-top-prospect-paul-skenes-performance-rank-for-june monthly 0.5 2024-07-08 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1717605919865-R6ME9I58DG4CN42O1F2I/Skenes.jpg Blog - Where Does The Performance of Top Pitching Prospect Paul Skenes Rank? - Make it stand out Photo Credit: Jonathan Dyer/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/06ad90f8-a511-4c96-83c2-cefeaf250262/tab1mario.JPG Blog - Where Does The Performance of Top Pitching Prospect Paul Skenes Rank? - Make it stand out Table 1: 2024 xwFIP leaderboard of top 30 pitchers with at least 20 IP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1c99399f-851d-45ad-b04f-d4382cf7a823/Tab2mario.JPG Blog - Where Does The Performance of Top Pitching Prospect Paul Skenes Rank? - Make it stand out Table 2: 2024 xwFIP leaderboard of the top 30 starting pitchers with at least 50 IP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/368586a5-b540-4e93-b34e-874afc8430e9/Tab3mario.JPG Blog - Where Does The Performance of Top Pitching Prospect Paul Skenes Rank? - Make it stand out Table 3: The ten “luckiest” pitchers in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c42544ca-112e-4702-8ba5-bb2d7919dfe5/Tab4mario.JPG Blog - Where Does The Performance of Top Pitching Prospect Paul Skenes Rank? - Make it stand out Table 4: The ten “unluckiest” pitchers in 2024 https://www.paraballnotes.com/blog/how-should-nba-coaches-use-their-challenges monthly 0.5 2024-05-24 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6efc150a-c35d-4099-95c9-b9e7034cc436/new-york-knicks-head-coach-72647616-1.jpg Blog - How Should NBA Coaches Use Their Challenges? - Make it stand out Photo Credit: USA TODAY Sports via Reuters Con https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/35f33693-8416-4320-9cc2-356979b59b3d/Tab1challenge.jpg Blog - How Should NBA Coaches Use Their Challenges? - Make it stand out Table 1: The value of challenging for each game situation https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/99b0294c-7f37-4777-9c1f-eb75663a19d6/tab2challenge.jpg Blog - How Should NBA Coaches Use Their Challenges? - Make it stand out Table 2: Challenge overturn rate breakeven points for Scenario 1 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ec028cdf-a4dd-47ec-970e-48204603d18b/tab3challenge.jpg Blog - How Should NBA Coaches Use Their Challenges? - Make it stand out Table 3: Challenge overturn rate breakeven points for Scenario 2 https://www.paraballnotes.com/blog/why-do-lefty-batters-hit-into-fewer-double-plays monthly 0.5 2024-05-13 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a8600df5-1591-4ce0-bded-37665c44486c/rizzo.jpg Blog - Why Do Lefty Batters Hit into Fewer Double Plays? - Make it stand out Photo Credit: AP Photo/Seth Wenig https://www.paraballnotes.com/blog/the-pitchers-with-the-best-xwfip-april-edition monthly 0.5 2024-04-29 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9044446f-94c6-4855-a76c-f6b36cceef9a/Chicago-Cubs-v-Oakland-Athletics-3-1681945642.jpeg Blog - The Pitchers with the Best xwFIP: April Edition - Make it stand out Photo Credit: Ezra Shaw/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/010412e9-9225-4b52-ae31-1e1adf02d6b9/Table1xwFIp.JPG Blog - The Pitchers with the Best xwFIP: April Edition - Make it stand out Table 1: The 30 pitchers with the best xwFIP through April 27th (minimum 10 IPs). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b20b2b5c-c68d-4e7c-b90a-c5d4f5113ec2/Tab2xwFIp.JPG Blog - The Pitchers with the Best xwFIP: April Edition - Make it stand out Table 2: The 30 starting pitchers with the lowest xwFIP through April 27th (min. 20 IP). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c387d12d-f86f-49fb-bdb0-3e4cf0ec00d0/tab3fip.JPG Blog - The Pitchers with the Best xwFIP: April Edition - Make it stand out Table 3: The 30 pitchers most likely to regress in run prevention in 2024 (min. 10 IP). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/370eff9d-923c-4493-a6c8-e5388631c4c8/tab4xwfip.JPG Blog - The Pitchers with the Best xwFIP: April Edition - Make it stand out Table 4: The 30 pitchers most likely to improve run prevention in 2024 (min. 10 IP). https://www.paraballnotes.com/blog/why-should-you-advance-up-the-court-in-tennis monthly 0.5 2024-04-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3c3e7629-7403-491a-9ae8-14f6c057213c/serenajpg.jpg Blog - Why Should You Advance Up the Court in Tennis? - Make it stand out Photo Credit: Frank Franklin II/Associated Press https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/992c09b3-acd3-48a2-aa20-706b7e840190/updatedTennis.jpg Blog - Why Should You Advance Up the Court in Tennis? - Make it stand out Figure 1: Linear relationship between court positioning (x-axis in meters) and minimum shot depth for a sideline shot to land in (y-axis in meters). Positive court positioning is ahead of the baseline and negative is behind. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/569135b3-fd4b-4576-b554-0953a15f4fff/graph2tennis.jpg Blog - Why Should You Advance Up the Court in Tennis? - Make it stand out Figure 2: Available spray angle (degrees) based on court positioning relative to the baseline (in meters) https://www.paraballnotes.com/blog/is-the-dodgers-starting-lineup-optimal monthly 0.5 2024-04-12 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b2302ca1-41d7-4a18-a4f9-38b87c4cb864/dodgers2.jpg Blog - Is the Dodgers' Starting Lineup Optimal? - Make it stand out Photo via Baseball Prospectus https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5e7f042e-7dbd-43c0-bd39-ce56d47bae16/graphdodgers.JPG Blog - Is the Dodgers' Starting Lineup Optimal? - Make it stand out Table 1: Frequency of plate appearances (PAs) against each of right-handed pitchers (RHP) and left-handed pitchers (LHP) for the Dodgers’ top four hitters for their careers and in 2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c1edd29c-187a-4693-962a-736dfbaa6bf4/Dodgersgraph.JPG Blog - Is the Dodgers' Starting Lineup Optimal? - Make it stand out Table 2: wOBA impact, run impact, and win impact of the Dodgers’ top of the lineup ordering. https://www.paraballnotes.com/blog/should-you-intentionally-foul-with-a-1-point-lead-to-get-the-last-shot monthly 0.5 2024-04-10 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3206eca3-1f26-48fe-9d0e-4c9101bc8bf1/kerr.jpg Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Photo Credit: NBA.com https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4f74b10c-2fe1-4017-8172-bbe1d48941dd/nbatab1uo.JPG Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Table 1a: Scenario 1 for an intentional foul with a 1-point lead https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/86d5bd0c-1bcc-49b2-9404-798bf1903eb6/NBATab2.JPG Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Table 1b: Team B Free Throw probability distribution https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/dec46838-0bf0-43a2-a679-341faa3c429c/Nbatab3up.JPG Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Table 2a: Scenario 2 for an intentional foul with a 1-point lead https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/dc291e8d-0b32-40b7-9eff-d1018c77a82f/NBATab4.JPG Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Table 2b: Team B Free Throw probability distribution https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a47df3d0-6240-4efb-9059-6aa9b6d47490/NBAtab5up.JPG Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Table 3a: Scenario 3 for an intentional foul with a 1-point lead https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b08a0e47-8893-4f1d-8115-f23b5432a330/NBATab6.JPG Blog - Should You Intentionally Foul With a 1-Point Lead to Secure the Final Possession? - Make it stand out Table 3a: Team B Free Throw probability distribution https://www.paraballnotes.com/blog/how-to-quantify-lineup-protection-in-baseball monthly 0.5 2024-04-09 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9603c48d-799c-4e44-a89d-1f6edc76c75b/vlad.jpg Blog - How to Quantify Lineup Protection in Baseball - Make it stand out Photo Credit: Julio Aguilar/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/60a4cda7-c59c-4bcf-9909-53bff28adc0f/table1lineup.JPG Blog - How to Quantify Lineup Protection in Baseball - Make it stand out Table 1: Lineup protection, ranked by Middle % Premium https://www.paraballnotes.com/blog/who-will-win-the-epl-title-liverpool-arsenal-or-city monthly 0.5 2024-04-02 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8212c3d7-87f3-4853-8397-585d284d3aa2/Martin%C3%98.jpg Blog - Who Will Win the EPL Title - Liverpool, Arsenal, or City? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/30ef5515-eb76-4a8b-8e11-c129242a436c/EPL1.JPG Blog - Who Will Win the EPL Title - Liverpool, Arsenal, or City? - Make it stand out Table 1: Ratings of the top three EPL teams https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e274381a-7823-4e42-b56b-530906b4dd91/Citi1.JPG Blog - Who Will Win the EPL Title - Liverpool, Arsenal, or City? - Make it stand out Table 2: Manchester City’s projected match results https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cddc790f-7d5f-4243-b2bc-3a277feecbfd/Arsenal1.JPG Blog - Who Will Win the EPL Title - Liverpool, Arsenal, or City? - Make it stand out Table 3: Arsenal’s projected match results https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2b98c361-2458-4c61-b616-024a25fbf0aa/liverpool1.JPG Blog - Who Will Win the EPL Title - Liverpool, Arsenal, or City? - Make it stand out Table 4: Liverpool’s projected match results https://www.paraballnotes.com/blog/which-kickers-are-best-prepared-for-nfls-new-kickoff-rules monthly 0.5 2024-04-01 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/62b67eef-e81d-42b7-ae0f-917056a566aa/kickSaints.jpg Blog - Which Kickers Are Best Prepared for the NFL’s New Kickoff Rules? - Make it stand out Photo Credit: The Miami Herald https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4eeda0d6-1f44-4ba0-8a15-3c01fc9eecb7/kickoff.JPG Blog - Which Kickers Are Best Prepared for the NFL’s New Kickoff Rules? - Make it stand out Table 1: Effective Kick Rate (under the new kicking rules) of all NFL kickers with at least 50 kickoffs in 2023-24. https://www.paraballnotes.com/blog/what-is-the-most-important-position-in-hockey monthly 0.5 2024-03-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e2a78588-2b29-4b11-9dea-6c3e15af5eb6/reinhart.jpg Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Photo Credit: Bob DeChiara/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/25185352-f5a5-4439-80b4-31ee4000333e/test1.JPG Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Table 1: Top 30 shooters in the NHL https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/07a467a6-7d15-49cc-80e4-bcb1e091130b/Hockeytab2.PNG Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Table 2: Bottom 30 shooters in the NHL https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cc2b2e17-b301-45b7-8382-980ef80c671a/hockeytab3.PNG Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Table 3: Top 30 goalies in the NHL https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/29d0b43e-5001-4f04-a58d-d4674e916c3e/hockeytab4.PNG Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Table 4: Bottom 30 goalies in the NHL https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/31a30850-a325-4796-8fa5-bc1ea708fb9f/Gaashoters.jpg Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Figure 1a: Relative value of shooters. The y-axis is the GAA and the x-axis is percentile. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/783a8fd2-9c9e-4cc4-bbf2-489e325d4ecf/gaagoalies.jpg Blog - A Relative Value Comparison of Goal Scorers and Goalies in Hockey - Make it stand out Figure 1b: Relative value of goalies. The y-axis is GAA and the x-axis is percentile. https://www.paraballnotes.com/blog/paraballs-march-madness-bracket monthly 0.5 2024-03-18 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4896d9cf-763e-41f9-9393-926a50086615/purdue1.jpg Blog - Paraball’s March Madness Bracket - Make it stand out Photo Credit: Abbie Parr/Associated Press https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e92a8959-af28-4352-9f52-d460b195825e/Tab1MM.jpg Blog - Paraball’s March Madness Bracket - Make it stand out Figure 1: Win Share versus Win Margin https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/25f6507b-4e3a-4702-9664-5ba4c9d1b814/Tab2MMM.PNG Blog - Paraball’s March Madness Bracket - Make it stand out Table 1: Modified ELO ratings of the top 20 teams in the NCAA Men’s Tournament. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1e4dc78f-fdca-47bf-ad44-e340e7bf2c81/Pic1MM.png Blog - Paraball’s March Madness Bracket - Make it stand out Figure 2: Paraball’s Picks for the East Region, along with win probability for each matchup. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0e6576a0-a462-40a5-b065-db5ca2960290/Pic2MM.png Blog - Paraball’s March Madness Bracket - Make it stand out Figure 3: Paraball’s Picks for the West Region, along with win probability for each matchup. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/93d52cb5-3310-45b4-935a-46da78c348d2/Pic3MM.png Blog - Paraball’s March Madness Bracket - Make it stand out Figure 4: Paraball’s Picks for the South Region, along with win probability for each matchup. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/11636cd3-ef81-4380-b4e3-5ffa973776c9/Pic4MM.png Blog - Paraball’s March Madness Bracket - Make it stand out Figure 5: Paraball’s Picks for the Midwest Region, along with win probability for each matchup. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e9dbac2a-e9ee-4ffc-9583-62f5bccdc6dd/Pic5.png Blog - Paraball’s March Madness Bracket - Make it stand out Figure 6: Paraball’s Picks for the Final Four and Finals, along with win probability for each matchup. https://www.paraballnotes.com/blog/mlbs-best-defensive-outfielders monthly 0.5 2025-03-13 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/01548b98-e1b3-4b29-a642-a7c6ee77f223/rojas.jpg Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Photo Credit: Miles Kennedy/Phillies https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5b3e12b5-1c68-4c3c-89cc-e5d443b90b49/MLBreaction.jpg Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Figure 1: OAA vs Reaction (feet vs average) for outfielders since 2016. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/540d818a-2fe3-4006-a45e-9c3c6c595811/MLBBurst.jpg Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Figure 2: OAA vs Burst (feet vs average) for outfielders since 2016. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/67e85f12-9245-4bbd-8c31-db43aa77f2a2/MLBROute.jpg Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Figure 3: OAA vs Route Efficiency (feet vs average) for outfielders since 2016. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/138eae58-f306-4017-bd91-d3ccc5ab7137/MLBVersus.jpg Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Figure 4: Reaction vs Route Efficiency for outfielders since 2016. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b3f0a236-73d6-41b6-82f3-f5904a16a19f/MLBSprint.jpg Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Figure 5: OAA vs Sprint Speed (feet per second) for outfielders since 2016. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ea44f05b-2ae3-4c3f-81a8-4135d809ab0c/Outfielder.JPG Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Table 1: Correlation between each positive outfielder attribute and OAA. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ce25298a-0898-46d0-b0a8-d6e9188eeb7a/Tab1MLB.PNG Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Table 2: Top outfielders from 2023 based on Burst, Reaction, and Sprint Speed; sorted by Outfield+. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3f1b0115-8bbf-4039-a4c8-8f1886d75ddf/Table2MLB.PNG Blog - Who Are the Best Defensive Outfielders in the MLB? - Make it stand out Table 3: Bottom ranked outfielders from 2023 based on Burst, Reaction, and Sprint Speed; sorted by Outfield+. https://www.paraballnotes.com/blog/which-pitching-staff-has-the-most-diverse-set-of-release-points monthly 0.5 2024-03-11 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cf62778f-8904-406d-aad0-fe8fb12c2cfd/tyler.jpg Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Photo Credit: Jeff Chiu/Associated Press https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ca8f9276-4c55-40a4-abc8-59bb803d6765/Release1.PNG Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Table 1: Right-handed pitcher variation scores from 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4bd66cce-e6d4-4044-8339-b44befd78c8f/Release2.PNG Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Table 2: Left-handed pitcher variation scores from 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8a3ba986-0cab-4638-834d-8540103bb725/Release3.PNG Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Table 3: Overall variation scores from 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/af9346ff-53bf-4986-a0ce-25326adae0af/ReleaseG1.jpg Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Figure 1: Royals pitchers’ average release points in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4e717e34-3778-4f22-a246-64addc03374c/release2gjpg.jpg Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Figure 2: Giants pitchers’ average release points in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fc693140-2a52-489f-8433-a2193b547236/release3jpg.jpg Blog - Which Pitching Staff Has the Most Diverse Set of Release Points? - Make it stand out Figure 3: Rays pitchers’ average release points in 2023. https://www.paraballnotes.com/blog/when-is-it-a-good-idea-to-bunt monthly 0.5 2024-03-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/296c516d-3e0b-475e-a835-9962f168f135/bunting+%281%29.jpeg Blog - When is it Best to Bunt? - Make it stand out Photo Credit: Hannah Foslien/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b8102970-deef-44db-ba18-32f598557449/Bunt1.png Blog - When is it Best to Bunt? - Make it stand out Figure 1: Win Probability Added (wpa) by bunting in each game state for the last two seasons https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3777df50-634d-4132-8754-fdf592aa15fb/Bunt2.png Blog - When is it Best to Bunt? - Make it stand out Figure 2: Run Value added by bunting in each game state for the past two seasons https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fb1aa0dc-103b-47be-9d43-febcbd39df55/Bunting3.png Blog - When is it Best to Bunt? - Make it stand out Figure 3: Win Probability Added (wpa) by bunting against each pitch type in the last two seasons. CH=Changeup, CU=Curveball, EP=Eephus Pitch, FC=Cutter, FF=4-seamer, FS=Splitter,KC=Knuckle Curve, SI=Sinker, SL=Slider, ST=Sweeper, SV=Slurve https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/addc64df-a102-47fe-9f79-e410c7c7b4f0/Bunting4.png Blog - When is it Best to Bunt? - Make it stand out Figure 4: Win Probability Added (wpa) by bunting, grouped by induced horizontal break (ft), for the last two seasons https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d4078621-2386-488b-b8a3-621f98c17a32/Bunting5.png Blog - When is it Best to Bunt? - Make it stand out Figure 5: Win Probability Added (wpa) by bunting, grouped by induced vertical break (ft), for the last two seasons https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2eabe1de-6e32-465b-9529-3c3d2d5641b5/Bunting6.png Blog - When is it Best to Bunt? - Make it stand out Figure 6: Win Probability Added (wpa) by bunting, grouped by pitch velocity, for the last two seasons https://www.paraballnotes.com/blog/nfl-combine monthly 0.5 2024-03-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9edef3b1-7781-42a6-bcd6-d2f5cceb4987/xavier.jpeg Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Photo Credit: Stacy Revere/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2472b3f4-2908-4a27-9716-415454095a74/RB.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 1: Top Running Backs in the 2024 Combine. Percentiles are compared to the results of Running Backs of the previous three combines. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ca4d6592-1f3c-4f0a-ab2e-77ac45c3297a/WR.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 2: Top Wide Receivers in the 2024 Combine. Percentiles are compared to the results of Wide Receivers from the previous three combines. **indicates all-time Combine record. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f6c451a9-80af-42fa-97d1-0606aa32c407/LB.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 3: Top Linebackers in the 2024 Combine. Percentiles are compared to the results of Linebackers from the previous three combines. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8eee0862-4f4e-464f-bba7-108ba1c48373/DE.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 4: Top Defensive Ends in the 2024 Combine. Percentiles are compared to the results of Defensive Ends from the previous three combines. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/34bea776-d0e3-4c19-9845-f9e1bd97cbac/TE.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 5: Top Tight Ends in the 2024 Combine. Percentiles are compared to the results of Tight Ends from the previous three combines. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e7ea2617-ef24-4b99-93d4-3d901947b5cf/CB.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 6: Top Cornerbacks in the 2024 Combine. Percentiles are compared to the results of Cornerbacks from the previous three combines. *indicates 2024 Combine best result. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d9344409-00b3-4f75-bf8d-21c81327c595/QB.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 7: Top Quarterbacks in the 2024 Combine. Percentiles are compared to the results of Quarterbacks from the previous three combines. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/23471175-b741-47a4-ad4e-7ced6d51425c/DT.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 8: Top Defensive Tackles in the 2024 Combine. Percentiles are compared to the results of Defensive Tackles from the previous three combines. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/74420d42-bb50-4eff-8b53-89630d0cbfdb/Safety.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 9: Top Safeties in the 2024 Combine. Percentiles are compared to the results of Safeties from the previous three combines. *indicates 2024 Combine best result. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3386577c-ef3a-4353-95f0-ca621904cd6c/OL.png Blog - NFL Combine 2024: How this Year’s Results Compare to the Results of the Last Three Years - Make it stand out Table 10: Top Offensive Linemen in the 2024 Combine. Percentiles are compared to the results of Offensive Linemen from the previous three combines. *indicates 2024 Combine best result. https://www.paraballnotes.com/blog/opinion-nba-should-stop-counting-full-court-shots-against-a-players-field-goal-percentage monthly 0.5 2024-03-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fa72361e-bb95-4507-96fa-d32c65fde979/runson.jpeg Blog - Opinion: NBA Should Stop Counting Full Court Shots against a Player’s Field Goal Percentage - Make it stand out Photo Credit: Jesse D. Garrabrant/NBAE via Getty Images https://www.paraballnotes.com/blog/ranking-the-best-defenses-most-athletic-defenses-and-most-intelligent-defenses-in-todays-mlb monthly 0.5 2024-02-29 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4ddb6d1b-3253-46c0-bafe-301b912f84ae/alekthomas.jpeg Blog - MLB’s Best Defenses, Most Athletic Defenses, and Most Intelligent Defenses - Make it stand out Photo Credit: Thearon W. Henderson/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2263edfc-4388-4b41-8b09-cd75c697bf44/429638999_1049597792792906_4997950455255002018_n.png Blog - MLB’s Best Defenses, Most Athletic Defenses, and Most Intelligent Defenses - Make it stand out Table 1: bdWAR for the 30 MLB teams in 2023, measuring overall defensive performance. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/df8205f2-c918-4c50-a798-9e37726a0fa7/429121052_408356218439974_2066334747257514763_n.png Blog - MLB’s Best Defenses, Most Athletic Defenses, and Most Intelligent Defenses - Make it stand out Table 2: fdWAR for the 30 MLB teams in 2023, measuring athleticism. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d9caa437-eaae-4bcc-89c4-28a8df6f2870/426829805_770854998276141_684392285209873526_n.png Blog - MLB’s Best Defenses, Most Athletic Defenses, and Most Intelligent Defenses - Make it stand out Table 3: Positioning Wins (the difference between the team’s bdWAR and fdWAR) for each of the 30 MLB teams in 2023 https://www.paraballnotes.com/blog/measuring-aaron-judges-true-offensive-value monthly 0.5 2024-02-23 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c9d9b396-982b-42f1-9acd-d807b81b7278/aaron-judge-62.jpg Blog - Measuring Aaron Judge’s True Offensive Value - Make it stand out Photo Credit: AP Photo/LM Otero https://www.paraballnotes.com/blog/how-can-hovland-improve-his-game monthly 0.5 2024-02-22 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/662c7f94-3efd-4b10-b044-69131f6b3dc5/hovland.jpg Blog - How Can Hovland Improve His Game? - Make it stand out Photo Credit: Matt York/AP/NTB https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0d5a60c0-4721-4352-a89f-5de00fffd8d6/Hovland1.png Blog - How Can Hovland Improve His Game? - Make it stand out Figure 1: Pgatour.com comparative analysis of Hovland, Scheffler, and McIlroy for the 2021-2022 season. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/44ad4524-5e29-48cb-abea-fd84cc76adf4/Hovland+2.png Blog - How Can Hovland Improve His Game? - Make it stand out Figure 2: Pgatour.com comparative analysis of Hovland, Scheffler, and McIlroy for the 2022-2023 season. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/25bf74f5-47a2-4ad0-afbf-1c9be1505f59/Uphov1.PNG Blog - How Can Hovland Improve His Game? - Make it stand out Table 1: 2021-22 strokes gained (measured in shots per round) for each golfer. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/691aae81-96b7-48ba-bdb1-83801d85522e/OppHov2.PNG Blog - How Can Hovland Improve His Game? - Make it stand out Table 2: 2022-23 strokes gained (measured in shots per round) for each golfer. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b5eabc72-0fd1-43e8-85d4-de9c2270b924/OppHov3.PNG Blog - How Can Hovland Improve His Game? - Make it stand out Table 3: Improvement in strokes gained (measured in shots per round) for each golfer from 2021-22 to 2022-23. https://www.paraballnotes.com/blog/do-baseball-players-outperform-their-numbers-in-their-walk-years monthly 0.5 2024-02-22 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e1e2d17c-8586-466b-99d0-3d22c3d6163c/soto.jpg Blog - Do Baseball Players Perform Better in Their Walk Years? - Make it stand out Photo Credit: Nick Wass/AP Photo https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/40c5049e-e0e2-406b-be39-50fec9598387/walkyear3.jpg Blog - Do Baseball Players Perform Better in Their Walk Years? - Make it stand out Figure 1: Walk Year WAR (y-axis) vs Career Season Average WAR (x-axis) for the 50 active position players and 50 active pitchers with the highest career WAR. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f0197ea5-dc10-40b7-92d5-7646ef251225/updateTab1.PNG Blog - Do Baseball Players Perform Better in Their Walk Years? - Make it stand out Table 1: Ten active players with the best walk years relative to their career averages. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a47d0445-d1fc-4bef-a8c9-b0243dd37df5/UpdateTab2.PNG Blog - Do Baseball Players Perform Better in Their Walk Years? - Make it stand out Table 2: Ten active players with the worst walk years relative to their career averages. https://www.paraballnotes.com/blog/the-super-bowl-overtime-coinflip-should-the-49ers-have-deferred monthly 0.5 2024-02-14 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6a1ae1a9-e601-4373-b3c5-876068d83536/purdy.jpg Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Photo Credit: Ezra Shaw/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/937147ea-048f-4efb-bd10-a764e07771ab/SB1.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 1: Drive outcome probabilities for Super Bowl LVIII https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4988433e-6c65-44c4-9b57-f47d0152225e/TabUp.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 2: Non-standard drive outcome probabilities for Super Bowl LVIII. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/636dc010-b698-41b2-85b9-efcdef65af60/Tab3Sb.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 3: The ten ways the game can progress under the new overtime rules. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4d42e798-fd60-4154-936c-c7211f3ba23e/sB3.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 4: Outcome and win probabilities if the 49ers take the ball first. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/916c6ab6-38d0-46ea-9088-e64c9588c103/sB4.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 5: Outcome and win probabilities if the Chiefs have the ball first. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/428f7860-a95c-42f2-8b91-847aee96e36f/sB5.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 6: Outcome and win probabilities if the 49ers take the ball first, scaling the base case so that the Chiefs are slight favorites heading into overtime. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1b6710a9-37cc-4409-a563-4348418d57f5/sb6.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 7: Outcome and win probabilities if the Chiefs have the ball first, scaling the base case so that the Chiefs are slight favorites heading into overtime. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4d3325df-9731-4654-89e5-00125c50f950/sB7.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 8: Outcome and win probabilities if the 49ers take the ball first, scaling the base case so that the Chiefs are significant favorites heading into overtime. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/410e75fb-fbfd-4340-b482-d02697d56b87/sB8.PNG Blog - The Super Bowl Overtime Cointoss: Should the 49ers Have Deferred? - Make it stand out Table 9: Outcome and win probabilities if the Chiefs have the ball first, scaling the base case so that the Chiefs are significant favorites heading into overtime. https://www.paraballnotes.com/blog/how-good-was-derek-jeter-defensively monthly 0.5 2024-02-13 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2a8c5bbf-c81a-4c60-95df-63030e3188e6/jeter.jpg Blog - How Good Was Derek Jeter Defensively? - Make it stand out Photo Credit: Michael Ivins/Boston Red Sox/Getty https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/24107cbb-55ea-4a9b-a6fe-9c8959200fde/TABL1det.PNG Blog - How Good Was Derek Jeter Defensively? - Make it stand out Table 1: Jeter’s RF/9, League Average SS RF/9, Baseball Reference Defensive Run Value, K-adj League Average SS RF/9, Paraball Defensive Run Value, Defensive Run Value Difference, and dWAR Difference https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1538aefc-7b86-4af0-bc3f-339aaad77442/JeterG1Up.jpg Blog - How Good Was Derek Jeter Defensively? - Make it stand out Figure 1: Jeter’s Baseball Reference Defensive Run Values and Paraball Defensive Run Values. X-axis is age. https://www.paraballnotes.com/blog/can-hamilton-end-ferraris-drought monthly 0.5 2024-02-12 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ada33361-b72d-4045-a47b-80ede867f748/Ham.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4378dedc-0668-4554-9734-10a78ce1874d/Ham1ed.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 1: Projected points for each of the 24 races in 2024 for the top four constructors. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6f6649d1-d2e4-459f-a982-3c132d36ad05/Ham1.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 2: Projected point totals for the top four constructors in 2024, along with their 16th (-1 standard deviation) and 84th (+1 standard deviation) percentile projections and their title win %. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/95a4966b-d4e7-42b0-a8fb-cda325826420/Ham2ed.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 3: Projected points for each of the 24 races in 2025 for the top four constructors. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c199f447-3b20-4167-b713-666509a44ca1/Ham4.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 4: Projected point totals for the top four constructors in 2025, along with their 16th (-1 standard deviation) and 84th (+1 standard deviation) percentile projections and their title win %. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/88fe8038-4ce5-4bc4-8d76-f680f348761c/Ham3ed.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 5: Projected points for each of the 24 races in 2026 for the top four constructors. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/600d0b61-7867-43cc-a3bc-434160d5460b/Ham6.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 6: Projected point totals for the top four constructors in 2026, along with their 16th (-1 standard deviation) and 84th (+1 standard deviation) percentile projections and their title win %. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c7556c6c-7f61-4f60-bc47-f61400e36426/Ham4ed.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 7: Projected points for each of the 24 races in 2027 for the top four constructors. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/afc0aad8-b423-4ee3-ae84-c20f06d6e061/Ham8.jpg Blog - Can Hamilton End Ferrari’s Drought? - Make it stand out Figure 8: Projected point totals for the top four constructors in 2026, along with their 16th (-1 standard deviation) and 84th (+1 standard deviation) percentile projections and their title win %. https://www.paraballnotes.com/blog/comparing-draft-pick-value-in-the-nfl-nba-and-mlb monthly 0.5 2024-02-06 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b389062d-3182-402c-881f-9b46987ad28e/draftpic.jpg Blog - Comparing Draft Pick Value in the NFL, NBA, and MLB - Make it stand out Photo Credit: Greg Fiume/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/709676a8-d72a-4589-9179-264d23a92633/draft1pic.jpg Blog - Comparing Draft Pick Value in the NFL, NBA, and MLB - Make it stand out Figure 1: Draft pick value decay in the NFL, NBA, and MLB. The y-axis is average career wAV, WS, and WAR for each draft position and the x-axis is the draft pick number https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f7295103-7c99-4772-ac6a-b123a8f4e8ab/Picture7.jpg Blog - Comparing Draft Pick Value in the NFL, NBA, and MLB - Make it stand out Figure 2: First Round draft pick value decay in the NFL, NBA, and MLB. The y-axis is average career wAV, WS, and WAR for each draft position and the x-axis is draft pick number https://www.paraballnotes.com/blog/super-bowl-preview-the-chiefs-path-to-putting-up-points monthly 0.5 2024-02-02 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/16925b06-9411-4cb0-9ce7-9e894306bc07/Patrick-Mahomes-Superbowl-LVII-732.jpg Blog - Super Bowl Preview: The Chiefs’ Path to Putting Up Points - Make it stand out Photo Credit: Abbie Parr/AP/Shutterstock https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ff9730de-584c-4f3b-ae38-7bfb4f627d37/tab1mahomes.PNG Blog - Super Bowl Preview: The Chiefs’ Path to Putting Up Points - Make it stand out Table 1: Opponents’ epa against the 49ers defense over the past five meaningful games. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/056af6ed-0209-4c6d-a6ff-5a51b114a044/Tab2atric.PNG Blog - Super Bowl Preview: The Chiefs’ Path to Putting Up Points - Make it stand out Table 2: Chiefs’ epa against opposing defenses over the past five meaningful games. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d825fe30-0d76-4a52-9bb9-0b88b636f72a/Table2Mahomes.PNG Blog - Super Bowl Preview: The Chiefs’ Path to Putting Up Points - Make it stand out Table 3: Chiefs’ projected epa against the 49ers defense https://www.paraballnotes.com/blog/quantifying-momentum-in-the-nfl monthly 0.5 2024-04-10 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4bd4885d-1f8e-43a6-b140-0d144568b2ce/USATSI_22396423.jpg Blog - Quantifying Momentum in the NFL - Make it stand out Photo Credit: Kyle Terada/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ef20d19d-59cc-4f02-be93-063a9ad32fe5/NFL12.jpg Blog - Quantifying Momentum in the NFL - Make it stand out Figure 1: Win probability post-score, actual win%, and Road Momentum Premium after each touchdown and field goal for the past 24 seasons of NFL games. X-axis is time elapsed in the game. https://www.paraballnotes.com/blog/how-has-sinners-game-improved-so-quickly monthly 0.5 2024-01-30 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c3eee2e1-3bd3-4264-a6d7-3dfdc32a292e/jannik-sinner_12364001190x786.jpg Blog - How Has Sinner’s Game Improved So Quickly? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/afcae79e-96a7-4752-8b9a-ef2aefbd1dc8/Sinner1.png Blog - How Has Sinner’s Game Improved So Quickly? - Make it stand out Figure 1: Sinner’s aces and double faults per match in each of the 2023 and 2024 Australian Opens https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8b59d2aa-5599-4bc2-a728-a5e467601bc0/Sinner2.png Blog - How Has Sinner’s Game Improved So Quickly? - Make it stand out Figure 2: Sinner’s Second Serve Win % and his Opponent’s Second Serve Win % in each of the 2023 and 2024 Australian Opens https://www.paraballnotes.com/blog/the-trend-in-war-for-free-agents monthly 0.5 2024-01-29 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1ccd3d13-fe14-4ef6-bf5f-394b6246ba4c/USATSI_20466261.jpeg Blog - The Trend in $/WAR for Free Agents - Make it stand out Photo Credit: Jayne Kamin-Oncea/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/eeee6d56-3ab2-4837-8254-5135db945b26/Skjermbilde+2024-01-28+kl.+14.04.23.png Blog - The Trend in $/WAR for Free Agents - Make it stand out Table 1: $/ projected WAR for free-agent signings with at least 2 projected WAR for the past seven off-seasons. Actual WAR is used as a proxy for projected WAR in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c00f944a-43d0-4a1b-aaae-8bb49d8287a3/FreeagentG1.png Blog - The Trend in $/WAR for Free Agents - Make it stand out Figure 1: $/ projected WAR (in millions) for free-agent signings with at least 2 projected WAR for the past seven off-seasons. Actual WAR is used as a proxy for projected WAR in 2023. https://www.paraballnotes.com/blog/lbabip monthly 0.5 2024-03-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9968ac6c-5930-4ac9-8b1f-d1fffd4eeb2b/dc.jpg Blog - Introducing Pitching Stat LBAbip - Make it stand out Photo Credit: Adam Glanzman/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ca6d3d16-a8ab-4175-9af6-b2e5e686a5ef/P1LP.png Blog - Introducing Pitching Stat LBAbip - Make it stand out Figure 1: League-wide BAbip, grouped by location. The middle 16 rectangles represent the strike zone. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7d0a1c42-4df4-4f9f-8ea4-ee507bbbc1a0/Tab1lb.PNG Blog - Introducing Pitching Stat LBAbip - Make it stand out Table 1: BAbip, LBAbip, Difference (LBAbip – Babip), and Stuff+ for the ten highest Difference pitchers with at least 500 balls in play in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2d0a0157-4c84-4754-b124-13a852413942/Tab3lb.PNG Blog - Introducing Pitching Stat LBAbip - Make it stand out Table 2: BAbip, LBAbip, Difference (LBAbip – Babip), and Stuff+ for the ten lowest Difference pitchers with at least 500 balls in play in 2023. https://www.paraballnotes.com/blog/free-agent-signings-should-you-sign-quickly-or-hold-out-for-more monthly 0.5 2024-01-18 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b6d391f6-7db4-40ff-9cfd-f76b96bf2510/max-scherzer-getty-1.jpg Blog - Free Agent Signings: Should You Sign Quickly or Hold Out for More? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4a725b02-3349-4ee4-8665-ff37c007a8a0/g1free.png Blog - Free Agent Signings: Should You Sign Quickly or Hold Out for More? - Make it stand out Figure 1: AAV in 2024 US dollars (all contracts adjusted for inflation). The x-axis is the number of days after the start of the offseason when the contract was signed, and the y-axis is AAV in millions of dollars. Interest rate calculations use official annual inflation prints https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9a7ff764-c8a1-477b-83b9-8f46703907aa/G2free.png Blog - Free Agent Signings: Should You Sign Quickly or Hold Out for More? - Make it stand out Figure 2: Total contract value in 2024 US dollars (all contracts adjusted for inflation). The x-axis is the number of days after the start of the offseason when the contract was signed, and the y-axis is total contract value in millions of dollars. Interest rate calculations use official annual inflation prints https://www.paraballnotes.com/blog/mariano-rivera-why-he-is-the-greatest-pitcher-of-all-time monthly 0.5 2024-01-16 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7807c152-d5d3-4be1-8c13-3a736cbdcec6/riviera.jpg Blog - Mariano Rivera: Is He the Greatest Pitcher of All Time? - Make it stand out Photo Credit: Christian Petersen/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ebcfd928-7088-498a-9cba-e25ebf5edcf5/riviera.jpg Blog - Mariano Rivera: Is He the Greatest Pitcher of All Time? - Make it stand out Figure 1: WPA/IP vs WPA for the 100 pitchers with the most WPA in MLB history. The number of seasons the pitcher pitched is in parentheses after his name. + next to the pitcher’s name signifies that he is in the Hall of Fame. Active pitchers also have their ages listed after the number of seasons they’ve pitched. https://www.paraballnotes.com/blog/how-to-stop-the-celtics monthly 0.5 2024-01-12 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1ace2bfb-19c5-4f48-a9a1-d34d82aaf9ca/Celtics.jpg Blog - How to Stop The Celtics? - Make it stand out Photo Credit: Stephen Gosling/NBAE via Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3ae8ea35-6294-429e-8455-db608493d12d/Screenshot+2024-01-12+at+9.27.47+AM.png Blog - How to Stop The Celtics? - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5e635a72-4d11-4367-9ee2-c353923f1581/C2.png Blog - How to Stop The Celtics? - Make it stand out Figure 2: Jaylen Brown shot chart for 2023-24 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e4db21ec-37eb-4579-b84c-541d0db14deb/Screenshot+2024-01-12+at+9.29.45+AM.png Blog - How to Stop The Celtics? - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/24e14a29-dc06-4f83-a6b8-01d09d43af79/Screenshot+2024-01-12+at+9.30.46+AM.png Blog - How to Stop The Celtics? - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0fa57aed-9617-44a2-b138-0da545b55f78/C5.png Blog - How to Stop The Celtics? - Make it stand out Figure 5: Sam Hauser shot chart for 2023-24 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/feeda30f-251e-428b-a5af-20cd84103cae/C6.png Blog - How to Stop The Celtics? - Make it stand out Figure 6: Derrick White shot chart for 2023-24 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fc7794e5-6e77-4aea-8743-cdd5c7865de5/Screenshot+2024-01-12+at+9.32.32+AM.png Blog - How to Stop The Celtics? - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6e9412f9-5cbc-4b27-baeb-468d339bf3f3/Screenshot+2024-01-12+at+9.34.01+AM.png Blog - How to Stop The Celtics? - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.paraballnotes.com/blog/using-predictive-woba-to-predict-batter-performance monthly 0.5 2024-04-10 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9974645a-0900-4827-9d79-9996c54698c1/230927234326-01-ronald-acuna-jr-record-092723-restricted.jpeg Blog - Using Predictive wOBA To Predict 2024 Batting Performance - Make it stand out Photo Credit: Matthew Grimes Jr./Atlanta Braves/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/eb4dd0ae-30bd-42c5-a584-89c928866ef4/Woba1.PNG Blog - Using Predictive wOBA To Predict 2024 Batting Performance - Make it stand out Table 1: Top 30 projected hitters in 2024 using Modified Predictive wOBA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/81070c07-8d19-490b-a902-6a41c321e859/WOBA2.PNG Blog - Using Predictive wOBA To Predict 2024 Batting Performance - Make it stand out Table 2: The 10 batters (out of the top 100) that Steamer over-projects relative to Predictive wOBA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/66fd044b-d7ec-4500-8949-1a1b54e7d456/G3woba.png Blog - Using Predictive wOBA To Predict 2024 Batting Performance - Make it stand out Figure 1: Fangraph’s aging curve https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b2f82cc5-d419-4192-b6fb-93b361bbe4dc/Woba3.PNG Blog - Using Predictive wOBA To Predict 2024 Batting Performance - Make it stand out Table 3: The 30 batters (out of the top 100) that Steamer under-projects relative to Predictive wOBA https://www.paraballnotes.com/blog/whats-better-for-a-team-giving-long-term-contracts-to-elite-hitters-or-elite-pitchers monthly 0.5 2024-01-10 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2c514311-e848-4aad-b161-e9643b4e24a9/GettyImages-1855962880-e1702643412254.jpg Blog - What’s The Better Value To a Team: Long-Term Contracts to Elite Hitters or Elite Pitchers? - Make it stand out Photo Credit: Meg Oliphant/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ba876c02-1c02-4fc8-a52a-2e068c11280b/Chart1BPitcher.png Blog - What’s The Better Value To a Team: Long-Term Contracts to Elite Hitters or Elite Pitchers? - Make it stand out Figure 1: Batter WAR and Pitcher WAR over 11 seasons. with season 1 being the elite season and 2-11 the 10 seasons that follow https://www.paraballnotes.com/blog/how-many-wins-was-the-tush-push-worth-in-2023 monthly 0.5 2024-01-09 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/12bf7c03-c8d1-403e-9888-1af1b5b6bd72/tushpush.jpg Blog - How Many Wins Was the “Tush Push” Worth in 2023? - Make it stand out Photo Credit: Eric Hartline, USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/05b0062a-309d-49e0-818d-9ec767339608/Tab1Tush.PNG Blog - How Many Wins Was the “Tush Push” Worth in 2023? - Make it stand out Table 1: Cumulative Win Probability Added (WPA) for each team on short yardage run plays. Eagles plays are additionally filtered for runs by Jalen Hurts to identify tush pushes https://www.paraballnotes.com/blog/who-are-the-most-prolific-epl-and-big-5-attackers-since-2000 monthly 0.5 2024-01-08 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0fce3454-4b4a-4a08-a2c1-4e025a50c7a7/skysports-mohamed-salah-liverpool_5323725.jpg Blog - Who Are The Most Prolific EPL and Big 5 Attackers in Recent Times? - Make it stand out Photo Credit: Sky Spots https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/244dca9c-72f2-4087-bb68-173296e341a5/EPL1.png Blog - Who Are The Most Prolific EPL and Big 5 Attackers in Recent Times? - Make it stand out Figure 1: Top 25 EPL attackers since 2000 (min 100 games played) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fc1574f8-efa9-48c2-bf22-62dcdf46ef56/EPL2.png Blog - Who Are The Most Prolific EPL and Big 5 Attackers in Recent Times? - Make it stand out Figure 2: Top 25 European Big 5 attackers since 2000 (min 100 games played) https://www.paraballnotes.com/blog/how-can-we-make-predictive-woba-even-more-predictive monthly 0.5 2024-03-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1704390400608-EDL0OIXZQ1SPPUDC3J5J/JSoto.jpeg Blog - How Can We Make Predictive wOBA Even More Predictive? - Make it stand out Photo Credit: Michael Reaves/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d0e252c0-c14d-4172-b661-786a96e521fe/pwoba1.png Blog - How Can We Make Predictive wOBA Even More Predictive? - Make it stand out Figure 1: Linear correlation between wOBA and Next Season wOBA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bc7cf15c-f580-4786-bc8e-fa6b684c26de/pwoba2.png Blog - How Can We Make Predictive wOBA Even More Predictive? - Make it stand out Figure 2: Linear correlation between xwOBA and Next Season wOBA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c84b4909-0dc8-4b6d-9937-1bfff72e7e55/pwoba3.png Blog - How Can We Make Predictive wOBA Even More Predictive? - Make it stand out Figure 3: Linear correlation between Predictive wOBA and Next Season wOBA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c332c679-8144-4b84-a133-fc8726a26250/pwoba4.png Blog - How Can We Make Predictive wOBA Even More Predictive? - Make it stand out Figure 4: Linear correlation between Modified Predictive wOBA and Next Season wOBA https://www.paraballnotes.com/blog/when-will-we-see-a-70-yard-field-goal-in-the-nfl monthly 0.5 2024-01-03 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/94150308-43a0-4346-b3be-105b1fab54d7/60083b85-3566-41ad-aa31-ea1065966313-USATSI_15444360.jpeg Blog - When Will We See a 70-yard Field Goal in the NFL? - Make it stand out Photo Credit: USA TODAY https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/58418079-e60e-4ae2-be50-86b335dbe041/FG1.png Blog - When Will We See a 70-yard Field Goal in the NFL? - Make it stand out Figure 1: Field Goal Make Rate grouped by Year and Distance https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/23ebc2f7-5276-457e-b1ba-378244b19f3d/FG2.jpg Blog - When Will We See a 70-yard Field Goal in the NFL? - Make it stand out Figure 2: Longest Field Goal Make each season along with a linear fit https://www.paraballnotes.com/blog/the-updated-xwfip monthly 0.5 2024-04-28 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bcc9eb1e-71ae-45be-b03b-d52c2b7e67b7/TAY2UCYZEQORJJOZ7NVHA3PLKI.jfif Blog - The Updated xwFIP - Make it stand out Photo Credit: Daniel Varnado https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ae457147-dc6e-4728-a47c-7181e20962f5/xwFIp.jpg Blog - The Updated xwFIP - Make it stand out Figure 1: Next Year ERA (y-axis) vs. xwFIP (x-axis), using xHR, for the 1466 pitchers with at least 50 innings pitched in back-to-back seasons since 2015 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9e90dde5-dec3-4180-abc6-507ace0082eb/x2.png Blog - The Updated xwFIP - Make it stand out Table 1: Correlation between each pitching metric and Next Season ERA. Thanks to Light_Saberist for calculating the correlations for xFIP and xwOBA! https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/dc3417d3-7a70-4042-9f6d-fa82dadf8ca8/Tab1.PNG Blog - The Updated xwFIP - Make it stand out Table 2: The 25 pitchers who benefit the most from the use of xwFIP in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a7058e31-50e3-4de9-8c76-033e6722ae4d/Tab2N.PNG Blog - The Updated xwFIP - Make it stand out Table 3: The 25 pitchers who benefit the least from the use of xwFIP in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/950b86a3-664c-4b59-aa0c-de51f3c84b98/Tab3N.PNG Blog - The Updated xwFIP - Make it stand out Table 4: The 25 pitchers with the lowest xwFIP in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9709198f-d35f-43ba-b841-f42cbb710699/Tab4N.PNG Blog - The Updated xwFIP - Make it stand out Table 5: The 25 starting pitchers with the lowest xwFIP in 2023 https://www.paraballnotes.com/blog/the-evolution-of-mlbs-run-scoring-environment monthly 0.5 2023-12-21 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/334ac940-9e46-45cb-9890-10e949aab234/1619443068733.jpeg Blog - The Evolution of MLB’s Run Scoring Environment - Make it stand out Photo Credit: Otto Greule Jr. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ab53d9d9-b6ba-4cbc-ac86-4d79a33551be/P1.png Blog - The Evolution of MLB’s Run Scoring Environment - Make it stand out Figure 1: Total attendance per season, from Statista https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/16ee13b2-4429-4958-86b5-d683388241c6/Graph.jpg Blog - The Evolution of MLB’s Run Scoring Environment - Make it stand out Figure 2: League average wOBA from 1871 to 2023, annotated with key moments and trends https://www.paraballnotes.com/blog/what-is-the-most-important-position-in-basketball monthly 0.5 2024-05-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5391f17f-2f01-4b05-b3ce-0f95aa13fe54/kirving+%281%29.jpeg Blog - What is The Most Important Position in Basketball? - Make it stand out Photo Credit: Frank Franklin II/AP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d09aecba-5dd7-4576-95c0-8cd46a28d2e0/bask1.png Blog - What is The Most Important Position in Basketball? - Make it stand out Figure 1: Testing data scatterplot with the y-axis being the actual team win total and the x-axis the predicted team win total https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e565bda6-1822-4299-b167-a9440b59bb2c/bask2.png Blog - What is The Most Important Position in Basketball? - Make it stand out Figure 2: Random Forest model feature weights for point guard (PG), shooting guard (SG), small forward (SF), power forward (PW), and center (C); rb: rebounds ast: assists pts: points scored https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/85cf214d-6759-430e-bee4-87946028de5b/G1.PNG Blog - What is The Most Important Position in Basketball? - Make it stand out Table 1: Relative importance of each basketball position https://www.paraballnotes.com/blog/which-batters-can-produce-against-the-nastiest-pitches monthly 0.5 2023-12-15 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/26f4fabc-a672-4933-ac23-b5788300a724/degrom.jpg Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Photo Credit: The Daytona Beach News-Journal https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ee1b59ab-10dc-45e6-935e-daf70d539705/Bat1.png Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 1: Savant Total Run Values https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d0de8e25-4f5f-4224-b460-fc7be5dbfd82/Bat2.png Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 2: Savant Run Values (ranked by Heart) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c7c33b7b-69a2-4659-bed6-e77644d6058b/Bat3.png Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 3: Savant Run Values (ranked by Shadow) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8061c17e-7f17-4456-b2c0-d99f610bd08e/Bat4.png Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 4: Savant Run Values (ranked by Chase) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/606b0140-e6e3-4b53-8b70-99edd87eacea/Bat5.png Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 5: Savant Run Values (ranked by Waste) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/07303a1d-d8b7-46de-b9b0-85b67735ee93/Skjermbilde+2023-12-08+kl.+22.34.33.png Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 6: 2023 pitch region breakdown in the regular season and playoffs https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/173ba79d-b6d1-423e-9528-76e264f311bc/Graph2.PNG Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 7: Pitches that are graded as at least 50% nastier than the average pitch with a minimum of 20 pitches thrown in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/676a6a0d-ea0d-4e9b-8bc4-02ee40117a27/Graph1.PNG Blog - Which Batters Can Produce Against the Nastiest Pitches? - Make it stand out Table 8: Batter performance against the nastiest pitches in 2023. The league’s cumulative Run Value against these pitches was -69 runs (-0.689 runs/100 pitches). https://www.paraballnotes.com/blog/the-55-man-pitching-rotation monthly 0.5 2023-12-13 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7470f86d-5c7d-4679-9255-a396da957627/MKing.jpg Blog - The 5.5-Man Pitching Rotation - Make it stand out Photo Credit: Mike Stobe/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/869a0951-e782-4a03-b4ed-39acb5bcf392/551.png Blog - The 5.5-Man Pitching Rotation - Make it stand out Figure 1: Linear correlation between wOBA and runs scored in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/41762719-16fb-47e3-8d80-0c5083306a48/55tab.PNG Blog - The 5.5-Man Pitching Rotation - Make it stand out Table 1: Modified FIP premium aggregated across all starts in 2023 and grouped by the number of rest days https://www.paraballnotes.com/blog/comparing-the-predictive-powers-of-xwfip-and-fip monthly 0.5 2024-04-28 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1702335552777-K0FAI4KFHOTNJLFDPJUR/Bautista-scaled.jpg Blog - Comparing The Predictive Powers of xwFIP and FIP - Make it stand out Photo Credit: The Athletic https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c4b57891-8682-4280-981f-a678d5265f53/era11.png Blog - Comparing The Predictive Powers of xwFIP and FIP - Make it stand out Figure 1: Next Year ERA (y-axis) regressed against ERA (x-axis) for the 1466 pitchers with at least 50 IP in back to back seasons since 2015 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4e6f5dd0-88dd-4727-9991-ade03de05731/era22.png Blog - Comparing The Predictive Powers of xwFIP and FIP - Make it stand out Figure 2: Next Year ERA (y-axis) regressed against FIP (x-axis) for the 1466 pitchers with at least 50 IP in back to back seasons since 2015 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2be09daa-8351-49dd-8b24-6e33027f6a9f/era33.png Blog - Comparing The Predictive Powers of xwFIP and FIP - Make it stand out Figure 3: Next Year ERA (y-axis) regressed against xwFIP (x-axis) for the 1466 pitchers with at least 50 IP in back to back seasons since 2015 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9b51726b-9208-4cc2-98e7-69b89891f64a/ERAtab.PNG Blog - Comparing The Predictive Powers of xwFIP and FIP - Make it stand out Table 1: Correlations between each of ERA, FIP, and xwFIP and Next Season ERA https://www.paraballnotes.com/blog/introducing-xwfip-the-expasion-of-one-of-baseballs-most-powerful-pitching-statistics monthly 0.5 2024-04-28 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9b8676b0-d644-4b04-98a7-a70169921cb8/blakesnell.jpg Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Photo Credit: Orlando Ramirez/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1d95ffa5-f26d-4a2e-b34f-3e6705c7724d/xfip1.png Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Table 1: The 25 pitchers with the greatest expected run prevention improvement when shifting from FIP to xwFIP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a4f18dac-357d-4db3-9a83-43b607bf7e7f/xfip2.png Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Table 2: The 25 pitchers with the greatest expected run prevention regression when shifting from FIP to xwFIP https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/65df5aac-926a-4ee6-ad9c-d420cc51fb11/table3new.PNG Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Table 3: The 25 pitchers with the lowest xwFIP in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2ef36f55-c865-4028-9a48-402af6d6d515/table4new.PNG Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Table 4: The 25 starting pitchers (with at least 15 starts) with the lowest xwFIP in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a8b4787a-5a2c-4c3d-8c13-056d0c159c7b/chart1new.png Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Figure 1: FIP Numerator components, with y-axis being the magnitude of the FIP numerator contribution for each of the 358 pitchers with at least 50 IP in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/56550472-9c72-482e-9841-0adb8f9f80cc/G5.png Blog - Introducing xwFIP: An Expansion of Baseball’s Most Powerful Pitching Statistic - Make it stand out Figure 2: xwFIP Numerator components, with the y-axis being the magnitude of the xwFIP numerator contribution for each of the 358 pitchers with at least 50 IP in 2023 https://www.paraballnotes.com/blog/the-sac-fly-paradox-how-to-hit-them-and-how-to-prevent-them monthly 0.5 2023-12-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/15509297-42d9-4652-92ac-3431f40fd289/gettyimages-1247447344-594x594-1.jpg Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ed73f029-8ee1-4905-a211-db9e47dc76a1/sac1.PNG Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out Table 1: 2023 sac fly pitch type breakdown, league average pitch type breakdown, and sac fly pitch type premium https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/98a1d6bd-1c3f-4f6a-a6a9-14fe53c9f822/Sac2.PNG Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out Table 2: 2023 sac fly premium broken down by pitch velocity https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/888477c3-2e61-4200-af7c-47b83dff2e9c/sac3.PNG Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out Table 3: 2023 sac fly premium broken down by pitch movement. Movement is measured in inches, relative to the average movement of the same pitch type https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/195f3498-a017-4612-8ebe-9afa4581c61b/sac4.png Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out RHP vs. RHB https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8f347f42-d4f8-42a5-b2b3-a08ebeb8bc80/sac5.png Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out RHP vs. LHB https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/af5c0919-f7c7-46a7-8306-3eb37b0dbc6b/sac6.png Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out LHP vs. RHB https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/126773a7-ed95-4cd5-803e-7565d59952c4/sac7.png Blog - The Sac Fly Paradox: How to Hit Them and How to Prevent Them - Make it stand out LHP vs. LHB https://www.paraballnotes.com/blog/the-most-valuable-shooters-in-the-nba monthly 0.5 2023-12-01 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2fc91049-564c-4401-b6a1-19e582e7c430/ShaquilleONeal.jpg Blog - From '96 to Today: Unveiling the Most Efficient Scorers From the Field - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a7701c09-ac7f-4c5c-832d-fee14812607d/Tab1UpdateNBA.PNG Blog - From '96 to Today: Unveiling the Most Efficient Scorers From the Field - Make it stand out Table 1: The 30 most valuable shooters from the field since 1996 relative to today’s average shooter, along with their points scored from the field, shots taken, shot efficiency, and Points Above Average (paa). For reference, 1.07622 is today’s league average shot efficiency https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f8515bed-547e-406c-b49e-7a53360870b5/Tab2NBA.PNG Blog - From '96 to Today: Unveiling the Most Efficient Scorers From the Field - Make it stand out Table 2: The 10 least valuable shooters from the field since 1996 relative to today’s average shooter, along with their points scored from the field, shots taken, shot efficiency, and Points Above Average (paa). For reference, 1.07622 is today’s league average shot efficiency https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5822ef20-cda2-4326-a150-e55e9b88dd83/NBAShotEff.png Blog - From '96 to Today: Unveiling the Most Efficient Scorers From the Field - Make it stand out Chart 1: Shot efficiency improvement from 1996 to 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/004a3faa-1d3f-45d3-8e5c-04151273b8aa/nba4FIN.PNG Blog - From '96 to Today: Unveiling the Most Efficient Scorers From the Field - Make it stand out Table 3: The 30 most valuable shooters since 1996, with each shot being compared to the shot efficiency of the average shot taken in that same year https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c31c9b02-1c55-4e4e-9558-383c60709760/NBALast1.PNG Blog - From '96 to Today: Unveiling the Most Efficient Scorers From the Field - Make it stand out Table 4: The 10 least valuable shooters since 1996, with each shot being compared to the shot efficiency of the average shot taken in that same year https://www.paraballnotes.com/blog/predicting-how-yamamoto-will-perform-in-the-mlb monthly 0.5 2023-11-28 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ba70d7f5-d573-4974-a1c8-b8cccbf7a080/Yamamoto1.jpg Blog - Predicting How Yamamoto Will Perform in the MLB - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a5149b55-16f0-49fb-b46e-5a309ff66982/Yama1Pic.png Blog - Predicting How Yamamoto Will Perform in the MLB - Make it stand out Figure 1: Percentage increase in starting pitcher ERA after moving from the NPB to the MLB, calculated using three season averages in each of NPB and MLB with a minimum of 20 starts per season https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2c511d26-4918-4266-9709-c45af60e1944/YamaTable1.png Blog - Predicting How Yamamoto Will Perform in the MLB - Make it stand out Table 1: Percentage increase in ERA, IP, WHIP, H9, HR9, BB9, SO9, and SO/W for the eleven starting pitchers after moving from NPB to MLB, calculated using three season averages in each of NPB and MLB with a minimum of 20 starts per season https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/581552c5-08e1-4dc4-afab-1ab6695d7ec3/YamaTab12.png Blog - Predicting How Yamamoto Will Perform in the MLB - Make it stand out Table 2: Yamamoto’s 3-year NPB stats and MLB projections based on his eleven peers https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bef695df-9413-4050-8dfa-52274d1ddeef/YamaTab3.png Blog - Predicting How Yamamoto Will Perform in the MLB - Make it stand out Table 3: 3-year NPB stats comparisons between Darvish, Tanaka, and Yamamoto https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1a8610e0-80c6-4fce-9c08-eb3eaf983e1c/Tab4Yama.png Blog - Predicting How Yamamoto Will Perform in the MLB - Make it stand out Table 4: Yamamoto’s 3-year NPB stats and MLB projections based on his two most similar peers https://www.paraballnotes.com/blog/does-the-hot-hand-exist-in-basketball monthly 0.5 2023-11-22 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4051816a-3cdc-4eda-ab82-c28d8a7b1ac0/seph.jpg Blog - Does The “Hot Hand” Exist in Basketball? - Make it stand out Photo Credit: Jim Davis/Globe Staff https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/290cb59c-b74f-49dd-b4a6-9b5f33edb17e/NBATable.png Blog - Does The “Hot Hand” Exist in Basketball? - Make it stand out Table 1: Shot efficiency of the ten highest volume shooters from season 2020-2021 through season 2023-2024, separated into “hot” and not “hot”, along with the “hot” premium https://www.paraballnotes.com/blog/nba-what-are-the-expected-points-per-shot-location monthly 0.5 2023-11-17 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/20ce39e8-568c-4770-b57a-d38e7c4f7652/merlin_204962220_fc67854e-4ccb-4109-bf53-9421d7f5929e-superJumbo+%281%29.jpeg Blog - What Are The Expected Points of Shooting From Each Location? - Make it stand out Photo Credit: Gary A. Vasquez/USA Today Sports, via Reuters https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f1157f41-64c8-45f5-afc0-103b35509dd6/NBA1.png Blog - What Are The Expected Points of Shooting From Each Location? - Make it stand out Figure 1: Expected points by shot location on the court for all shots taken in seasons 2020-2021 to 2023-2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/46f4bb50-c4d9-4f03-bbed-a082d40a383b/NBA2-rl.png Blog - What Are The Expected Points of Shooting From Each Location? - Make it stand out Figure 2: Expected points by shot location for all shots taken in seasons 2020-2021 to 2023-2024, filtering out locations with only one shot https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f53b98f9-ea63-4ede-94b4-4244d349ccf3/NBA2.png Blog - What Are The Expected Points of Shooting From Each Location? - Make it stand out Figure 3: Expected points by shot location for all shots taken over seasons 2020-2021 to 2023-2024, filtering out locations with five or fewer shots https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c78d0a5c-404d-4e16-a0b4-43dfd3c3da62/NBATab1.png Blog - What Are The Expected Points of Shooting From Each Location? - Make it stand out Table 1: The 25 most valuable shooters from the field from 2020-2021 to 2023-2024 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/04630ea6-24b5-41b8-99fd-faa7c21e41f6/NBATab2.png Blog - What Are The Expected Points of Shooting From Each Location? - Make it stand out Table 2: The 10 least valuable shooters from the field from 2020-2021 to 2023-2024 https://www.paraballnotes.com/blog/cole-wins-cy-young-how-did-he-get-to-greatness monthly 0.5 2023-11-16 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ed1bba46-0c87-4ae4-bbcc-77db6b69571e/ColeCy.jpeg Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Photo Credit: NJ.com https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a7b7bc54-79e3-4c8d-a65e-463529ebdc4f/Cole1.png Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Table 1: Cole’s pitch breakdown by usage and velocity in his first three years as a Yankee compared to 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3b25329d-e9fb-43a6-9cb4-feb0143a0774/Screenshot+2023-11-15+at+11.43.25+PM.png Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Table 2: Run Value of Cole’s pitches over the past four seasons (Baseball Savant). 2020 cumulative numbers are lower due to the shortened season. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5be592db-2bdc-4144-b60c-43f2426ae216/ColeFig1.png Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Figure 1: Cole’s pitch usage (%) by location vs. LHBs from 2020-2022. The middle 16 rectangles represent the strike zone (as seen from the catcher’s perspective) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c278104b-e51f-410b-a51c-2c609d27af84/ColeFig2.png Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Figure 2: Cole’s pitch usage (%) by location vs. LHBs in 2023. The middle 16 rectangles represent the strike zone (as seen from the catcher’s perspective). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/25ec2b2b-b4c3-48ba-b730-5090da0cb95e/Cole3.png Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Figure 3: Cole’s pitch usage (%) by location vs. RHBs from 2020-2022. The middle 16 rectangles represent the strike zone (as seen from the catcher’s perspective). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/409bb5ce-0bf5-45d8-ad33-bdd214247bac/Cole4.png Blog - Cole Wins Cy Young. How Did He Finally Succeed? - Make it stand out Figure 4: Cole’s pitch usage (%) by location vs. RHBs in 2023. The middle 16 rectangles represent the strike zone (as seen from the catcher’s perspective). https://www.paraballnotes.com/blog/what-is-the-optimal-punt-location monthly 0.5 2024-05-18 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/14b4ff96-7d56-4a58-a25b-c596262987b0/puntJets.jpeg Blog - What is The Optimal Punt Location? - Make it stand out Photo Credit: New York Jets https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7248a313-6a12-4671-9c16-ed2c048c9dd9/Screenshot+2023-12-26+at+12.39.10+PM.png Blog - What is The Optimal Punt Location? - Make it stand out Figure 1: A look into the relationship between pre-punt, post-punt, and post-return field positions. The pre-punt locations are grouped into five-yard bins. The punt location yard line is the distance to the opponent’s endzone. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/80ea5803-6c7c-426e-9020-db4fc437b07e/Screenshot+2023-12-26+at+12.49.26+PM.png Blog - What is The Optimal Punt Location? - Make it stand out Figure 2: A look into the relationship between pre-punt, post-punt, and post-return field position on the opponent’s side of the field. The pre-punt locations are grouped into five-yard bins. The punt location yard line is the distance to the opponent’s endzone. https://www.paraballnotes.com/blog/6umo3k8w03bdu62uz7syfq5a49d2nw monthly 0.5 2023-11-14 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/61aac343-f10a-493d-b496-9f6949233a38/GettyImages-1389330948.jpeg Blog - EPL: Who Can Secure A Top 4 Finish, and Who is Facing Relegation? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/878b77d8-723e-4ff1-ab3b-983fd228c463/ELOEPL1.png Blog - EPL: Who Can Secure A Top 4 Finish, and Who is Facing Relegation? - Make it stand out Figure 1: Two-year rolling ELO scores of the 23 EPL teams https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ebdd8085-c076-4a5a-8bba-bd1726df337a/ELoTab1.PNG Blog - EPL: Who Can Secure A Top 4 Finish, and Who is Facing Relegation? - Make it stand out Table 1: Change in ELO of 20 EPL teams this season https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7966ef8c-96c3-43b6-ac3c-4197ca00bf3a/EloTab2.PNG Blog - EPL: Who Can Secure A Top 4 Finish, and Who is Facing Relegation? - Make it stand out Table 2: Current EPL ELO rankings https://www.paraballnotes.com/blog/should-batters-have-two-or-more-swings monthly 0.5 2023-11-16 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/bca902a5-b655-4194-ae0d-b30401eec4a7/Gallo2.jpg Blog - Should Batters Have Two or More Swings? - Make it stand out Photo Credit: Mark J. Rebilas/USA TODAY Sports https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7bb8c7c7-e242-4a27-b1d0-47daa61c6936/SecondBatterPic1.png Blog - Should Batters Have Two or More Swings? - Make it stand out Figure 1: Mike Petriello’s heatmap of batter attack angle, swing speed, exit velocity, launch angle, and launch distance https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/09f8bc9f-07b2-40d4-ad54-8e18ed1e2bfb/G4.png Blog - Should Batters Have Two or More Swings? - Make it stand out Figure 2: Approximating Batter Attack Angle (y-axis) from Launch Angle (x-axis) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e75dcc3f-1e86-4b36-a36d-affdccb16011/G1attack.png Blog - Should Batters Have Two or More Swings? - Make it stand out Figure 3: Slight negative relationship between attack angle and whiff rate on low pitches (r=0.098) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9aa3a64e-a152-4cca-b0a5-2a545f64f9be/G2attack.png Blog - Should Batters Have Two or More Swings? - Make it stand out Figure 4: Slight positive relationship between attack angle and whiff rate on middle pitches (r=0.14) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/3a177de7-10cf-4aa6-a203-bb3303d53f0a/G3asttack.png Blog - Should Batters Have Two or More Swings? - Make it stand out Figure 5: Moderate positive relationship between attack angle and whiff rate on high pitches (r=0.17) https://www.paraballnotes.com/blog/is-there-a-new-best-team-in-the-nfl monthly 0.5 2023-11-04 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/310b47d8-3f8f-485f-98a6-cd9d647626bf/hurtsmahome.jpeg Blog - Is There A New Best Team in The NFL? - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/6a7127fb-9e0e-4021-b2f2-ded6e76471a0/ELO1.png Blog - Is There A New Best Team in The NFL? - Make it stand out Figure 1: Two-year rolling ELO scores of 32 NFL teams; the x-axis is the NFL week starting from week 1 last year (23 being the Superbowl) and ending at Week 8 this year; the y-axis is the ELO score. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1b8518b1-8fea-45b1-aed2-de48fe68dd71/Tab1ELO.png Blog - Is There A New Best Team in The NFL? - Make it stand out Table 1: 32 NFL teams ranked by ELO improvement in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/da1528ce-1f44-4b6a-b86b-2e5a3d1b1752/Tab2ELO.png Blog - Is There A New Best Team in The NFL? - Make it stand out Table 2: 32 NFL teams ranked by ELO scores after Week 8 https://www.paraballnotes.com/blog/pocket-aces monthly 0.5 2023-10-31 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1698766564906-O8IFJA5ZKYCH84ODCP1M/Barry2.jpg Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Photo Credit: Jeff Zelevansky/Icon SMI https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7900d05c-a5f5-481d-a613-6167f94b5ca5/Tab1New.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 1: Wildcard Series with traditional pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0b4d7c8d-3821-4b10-8115-77c5bcd041f8/Tabtest.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 2: Wildcard Series with alternative pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/27a54f7c-5949-4d68-a145-cc92786f6ceb/Tab3Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 3: Wildcard Series with countered pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4150eb70-669b-4f41-8cc6-90c04d566dc5/Tab4Arc.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 4: Division Series Type 1 with traditional pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d5f8c5fe-9ad2-49f2-b695-6764287a824a/Tab5Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 5: Division Series Type 1 with alternative pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/dfc28eb8-43d0-4fe3-8ae8-a333e3d15c74/Tab6Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 6: Division Series Type 2 with traditional pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5ae254ea-42e7-4a61-8b67-689ae23d0f93/Tab7Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 7: Division Series Type 2 with alternative pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a5b5ded1-eccc-4509-8ad3-bf8b1f4908c2/Tab8Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 8: Division Series Type 2 with countered pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8717bf60-5433-4477-992a-9105b3a3edac/Tab9Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 9: Seven-game series with traditional pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/388db427-ccac-4ff2-a585-e6d7816b14dd/Tab11Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 10: Seven-game series with alternative pitching matchups https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/4a93a0bb-8337-403c-9219-5d2291406723/Tab12Ace.png Blog - When Should a Team Save its Ace for Game 2? - Make it stand out Table 11: Seven-game series with countered pitching matchups https://www.paraballnotes.com/blog/when-will-usain-bolts-100m-record-be-broken monthly 0.5 2023-10-27 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d146b88a-4cb1-4b08-8a16-3b11d97175bc/skynews-rio-usain-bolt_5873369.jpg Blog - When Will Usain Bolt’s 100m Record Be Broken? - Make it stand out Photo Credit: Sky News https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8271a97f-9c70-4674-b05a-7e03a1000209/Usain1.png Blog - When Will Usain Bolt’s 100m Record Be Broken? - Make it stand out Chart 1: 1262 100m sprints of less than 10.0 seconds, electronically recorded with a maximum tailwind of 2.0 m/s. The y-axis is the sprint time and the x-axis is the date. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/55394967-5151-4b4e-a4f0-7e314b9574b6/Usain2.png Blog - When Will Usain Bolt’s 100m Record Be Broken? - Make it stand out Chart 2: Record breaking or era-defining 100m sprint times; y-axis is the sprint time and x-axis is the date. Exponential decay and linear trendlines present along with R-squared and equations. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/b8f91f4a-14d6-4276-8ec7-e24b901b8ef5/usain3.png Blog - When Will Usain Bolt’s 100m Record Be Broken? - Make it stand out Chart 3: The best annual 100m times with exponential decay and linear fits. The y-axis is the sprint time and x-axis is the date. https://www.paraballnotes.com/blog/how-to-stop-the-eagles-offense monthly 0.5 2023-10-13 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/df294c31-f7d2-46bd-9459-447952649181/Eagles.jpeg Blog - How to Stop The Eagles Offense - Make it stand out Photo Credit: philadelphiaeagles.com https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1e82e66d-728a-46cc-913d-5b2a4c08fc60/eagles1.png Blog - How to Stop The Eagles Offense - Make it stand out Table 1: Eagles offensive yardage, fumble %, interception %, and win probability added in 1st and 10 situations. No_play refers to a penalty. (Data: 638 plays total, 310 runs and 279 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cb5f7e0f-e2f3-4422-9d0a-c749d7e4bcbf/eagles2.png Blog - How to Stop The Eagles Offense - Make it stand out Table 2: Eagles offensive yardage, fumble %, interception %, and win probability added in 2nd and short (3 or fewer yards) situations. No_play refers to a penalty. (Data: 80 plays total, 48 runs and 27 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d2fe5563-f2a7-4589-9c9b-bc0caccb5e35/eagles3.png Blog - How to Stop The Eagles Offense - Make it stand out Table 3: Eagles offensive yardage, fumble %, interception %, and win probability added in 2nd and medium (4-7 yards) situations. No_play refers to a penalty. (Data:157 plays total, 82 runs and 70 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/ae09ef74-0d4f-4cfc-8b03-dcbc4c90fd9d/eagles4.png Blog - How to Stop The Eagles Offense - Make it stand out Table 4: Eagles offensive yardage, fumble %, interception %, and win probability added in 2nd and long (8-12 yards) situations. No_play refers to a penalty. (Data: 214 plays total, 43 runs and 155 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/7f54ea9d-5465-4b77-8014-567f8a7d17a0/eagles5.png Blog - How to Stop The Eagles Offense - Make it stand out Table 5: Eagles offensive yardage, fumble %, interception %, and win probability added in 2nd and very long (13+ yards) situations. No_play refers to a penalty. (Data: 38 plays total, 5 runs and 32 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a0088dc5-c4f6-4fab-b9d6-98f245bd0bed/Eagles6.png Blog - How to Stop The Eagles Offense - Make it stand out Table 6: Eagles offensive yardage, fumble %, interception %, and win probability added in 3rd and short (3 or fewer yards) situations. No_play refers to a penalty. (Data: 94 plays total, 59 runs and 24 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/fdc6c3d7-59bf-4bd4-ba0f-efd2c51b74d3/Eagles7.png Blog - How to Stop The Eagles Offense - Make it stand out Table 7: Eagles offensive yardage, fumble %, interception %, and win probability added in 3rd and medium (4-7 yards) situations. No_play refers to a penalty. (Data: 96 plays total, 35 runs and 48 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/897b06e4-3a15-47cf-b3c1-9b5982ca5601/Eagles8.png Blog - How to Stop The Eagles Offense - Make it stand out Table 8: Eagles offensive yardage, fumble %, interception %, and win probability added in 3rd and long (8+ yards) situations. No_play refers to a penalty. (Data: 116 plays total, 20 runs and 85 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0ffd74bf-450f-4a34-9521-dafd211ba7ae/Eagles9.png Blog - How to Stop The Eagles Offense - Make it stand out Table 9: Eagles offensive yardage, fumble %, interception %, and win probability added in 4th and short (fewer than 3 yards) situations. No_play refers to a penalty. (Data: 27 plays total, 13 runs and 3 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/29b67c75-547e-498f-91ee-0826cf399d17/Ealges10.png Blog - How to Stop The Eagles Offense - Make it stand out Table10: Eagles offensive yardage, fumble %, interception %, and win probability added in 4th and medium (3-7 yards) situations. No_play refers to a penalty. (Data: 41 plays total, 2 runs and 8 passes). https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a1b065e1-78ef-425e-a240-4a0a7996a137/SummaryPart1Eagles.png Blog - How to Stop The Eagles Offense - Make it stand out Table11: A summary of the optimal strategy against the Eagles’ offense in each Non-Redzone situation, along with the added win probability per play by forcing the Eagles to pass/run. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/78601852-601c-4a3e-9e19-d887349ba2e3/Eagles12.png Blog - How to Stop The Eagles Offense - Make it stand out Table12: A summary of the optimal Redzone strategy against the Eagles’ offense in each situation, along with the added win probability per play by forcing the Eagles to pass/run. https://www.paraballnotes.com/blog/paraball-win-share-a-new-win-expectancy-tool monthly 0.5 2024-04-10 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/856f8385-5767-464c-8b07-54832ae988b1/twin.jpg Blog - Paraball Win Share: A New Win Expectancy Tool - Make it stand out Photo Credit: Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/07e03c9b-b293-4173-881c-5b75ecdf96a5/figNewArt.png Blog - Paraball Win Share: A New Win Expectancy Tool - Make it stand out Figure 1: Fangraphs win probability charts for the first set of Wild Card games on October 3rd. The green lines are independent of team strength and the grey lines are adjusted for team strength. The x-axis illustrates the inning https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1f5780c3-36cd-4f66-8e43-f086374e121b/tabelUpdate.png Blog - Paraball Win Share: A New Win Expectancy Tool - Make it stand out Table 1: Wild Card Game 1 Paraball Win Shares calculated using Riemann Sum integral on in-game win probability graphs https://www.paraballnotes.com/blog/why-do-curveballs-have-reverse-platoon-advantage monthly 0.5 2023-10-04 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1696281677981-2N4045JET20X4FQUFJO2/Nola.jpg Blog - Why Do Curveballs Have a Reverse Platoon Advantage? Photo Credit: Yong Kim/Staff Photographer https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f6bf2c4c-2194-4465-877e-ae40cda1c544/curve3tab.png Blog - Why Do Curveballs Have a Reverse Platoon Advantage? - Make it stand out Table 1: Platoon advantage of curveballs https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/2140a6ee-a22d-4daf-bd1b-fd81255fbf4c/TABELNEW.PNG Blog - Why Do Curveballs Have a Reverse Platoon Advantage? - Make it stand out Figure 1: Called strike rate (%) per pitch zone (the middle 16 rectangles represent the strike zone) for each handedness matchup, as seen from the catcher’s perspective. https://www.paraballnotes.com/blog/how-will-the-robo-ump-impact-pitch-types-and-pitch-locations monthly 0.5 2023-10-04 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/759476bd-061f-41c5-a2ba-c9cdebb9ecae/cole2.jpg Blog - How Will The Robo Ump Impact Pitch Types and Pitch Locations? - Make it stand out Photo Credit: Jason Szenes/EPA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/cef822df-b03f-48ae-8764-8dfa2f0a2536/absFig.png Blog - How Will The Robo Ump Impact Pitch Types and Pitch Locations? - Make it stand out Figure 1: Extra strike rate of each pitch type measured in basis points (bps). 100 bps = 1%. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/86dd6223-ea24-41da-baa0-2ac899c4039e/heatmap1.png Blog - How Will The Robo Ump Impact Pitch Types and Pitch Locations? - Make it stand out Figure 2: Extra Strike (Red) and Extra Ball (blue) rates broken down by zone, measured in bps, from the catcher’s perspective. The strike zone is comprised of the center 16 blue rectangles. https://www.paraballnotes.com/blog/who-will-benefit-the-most-from-the-automated-strike-zone monthly 0.5 2023-09-25 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/a8a2f5b6-c2b2-46c1-b6d4-b82c931a275a/roboump+%282%29.PNG Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Photo Credit: Bob Levey/Getty Images https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/dd819a7f-465a-430c-aa45-c9d7c914650a/tab1art6.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 1: Summary of missed umpire calls in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e5702c35-2085-4026-bed9-d1baf98c1943/tab2.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 2: The ten pitchers who were given the most extra strikes in 2023. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8d0b8929-9f6c-4ec2-a27b-17cd70df9cbe/Tab3.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 3: The ten pitchers who had the most strikes taken away from them in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/190007df-31fe-4570-a1d6-24b33a2fd4ee/tab4.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 4: The ten batters who were given the most extra balls in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/342ea8b6-25e1-4d36-adce-9507b82aae44/tab5.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 5: The ten batters who had the most balls taken away from them in 2023 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/84815133-cf7b-49ba-9624-bcc357ff3cdf/tab6new.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 6: Best framing catchers in 2023, according to Baseball Savant https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/11ab89b1-f9ff-4175-b625-561785fa07ef/tab7new.png Blog - Who Wants the Robo-Ump? And Who Doesn’t.. - Make it stand out Table 7: Worst framing catchers in 2023, according to Baseball Savant https://www.paraballnotes.com/blog/running-wild monthly 0.5 2023-09-25 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/c4a75fe4-542a-417c-8a44-2ee31ff93060/hurts+%282%29.jpg Blog - Running Wild: Have We Reached an Inflection Point in the NFL Offensive Strategy Equilibrium? - Make it stand out Photo Credit: AP Photo/Charlie Riedel https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/11a58fa7-ba99-4ae6-8c4f-465a21ea61cb/hurtstable2.png Blog - Running Wild: Have We Reached an Inflection Point in the NFL Offensive Strategy Equilibrium? - Make it stand out Chart 1: Percentage of offensive plays (pass plays and run plays), excluding spikes and kneels, that were rush attempts from 1999-2000 to 2022-23. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/d6bb9b14-625c-4a8c-8a89-240e5fa5c669/tablehurts1.png Blog - Running Wild: Have We Reached an Inflection Point in the NFL Offensive Strategy Equilibrium? - Make it stand out Figure 1: Heat map of the year-to-year increase/decrease in run percentage from the 2021-22 season to the 2022-23 season based on down and distance in short yardage situations. Warm colors signify an increase in run percentage and cool colors signify a decrease in run percentage. https://www.paraballnotes.com/blog/haalands-magical-season-how-great-was-he-and-can-he-do-it-again monthly 0.5 2023-09-25 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e6562e48-040f-412a-9612-265a419cade1/haaland+%283%29.PNG Blog - Haaland’s Magical Season: How Good Was He Really, and Can He Do It Again? - Make it stand out Photo Credit: Martin Rickett/PA https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9f3752b7-6653-494b-ab79-0bee0beb8c48/haalandChart.PNG Blog - Haaland’s Magical Season: How Good Was He Really, and Can He Do It Again? - Make it stand out Chart 1: Non-penalty goals (y-axis) versus non-penalty expected goals (x-axis) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1c1d97a6-622a-453b-9466-da670cc0228f/sakahaaland.PNG Blog - Haaland’s Magical Season: How Good Was He Really, and Can He Do It Again? - Make it stand out Chart 2: SCA of the EPL’s top scorers. The black line represents the average SCA (3.19) for Haaland’s 16 peers https://www.paraballnotes.com/blog/schmidts-cutting-edge monthly 0.5 2023-09-07 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/360392e2-cf24-4bb7-81b7-8401ec231fee/clarke-schmidt-pitching-pinstripes-follow-through+%282%29.jpg Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Photo Credit: Sports Illustrated https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/e82250c1-be17-4b47-992c-6bbc032f0a32/sch1.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 1: Schmidt’s 2023 pitch breakdown; CH=Changeup, FC=Cutter, KC=Knuckle Curve, SI= Sinker, ST= Sweeper https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/0208aa26-f17c-424b-87f9-9e8e199f2cb4/SCH2.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 2: Schmidt’s 2022 pitch breakdown; CH= Changeup, FF=4-seamer, KC=Knuckle Curve, SI=Sinker, ST=Sweeper https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/79b662ec-8d01-4907-8a3c-7002dd7f9c3f/image-asset.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 3: Pitchers most similar to Schmidt, their similarity scores and xFIPs https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/47031fe4-185e-4995-9070-09840e2a6b35/Picture3.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 4: A balanced attack against RHBs https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/8f6f7d01-04c0-4ce3-930d-2e0b392071ae/balanceLHP.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 5: A balanced attack against LHBs https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/f0878c8d-7db1-44be-8062-009d829beccf/Screenshot+2023-09-06+at+5.25.20+PM.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 6: Game theory optimal (GTO) pitch frequency versus Schmidt’s current pitch frequency against RHBs https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5bf3fa1d-29a5-4a67-8fcc-d6a149c962bb/Screenshot+2023-09-07+at+11.02.55+AM.png Blog - What is Schmidt’s Optimal Pitch Mix? - Make it stand out Table 7: Game theory optimal (GTO) pitch frequency versus Schmidt’s current pitch frequency against LHBs https://www.paraballnotes.com/blog/the-tennis-trade-off-should-i-go-for-the-ace-or-get-the-first-serve-in monthly 0.5 2024-03-30 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/1693761184687-6NTIUOSEX1FCFO86XQ4C/med1+%281%29.jpeg Blog - The Tennis Trade-Off: Should I Go For the Ace or Get the First Serve In? - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/192b16e0-2540-4cd9-864b-4e1fa378749b/Medv1.png Blog - The Tennis Trade-Off: Should I Go For the Ace or Get the First Serve In? - Make it stand out Figure 1: Ace comparison between match winners and losers, featuring number of aces per match (x-axis) and number of matches (y-axis) https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5a2e08fc-693c-42eb-8c27-a49a0551593d/medv2.png Blog - The Tennis Trade-Off: Should I Go For the Ace or Get the First Serve In? - Make it stand out Figure 2: First serve percentage comparison between match winners and losers https://www.paraballnotes.com/blog/volpes-hitting-under-the-microscope monthly 0.5 2023-09-05 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/428bdfba-d28b-468d-ba84-b22fd1d98363/usatsi_20371334+%281%29.jpeg Blog - Volpe’s Hitting Under the Microscope - Make it stand out Photo Credit: Brad Penner-USA TODAY https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/5ef5ca90-0140-466b-9f60-dbf5ffe983fc/VolpeTable.png Blog - Volpe’s Hitting Under the Microscope - Make it stand out Table 1: Volpe’s xWOBA and 2023 MLB average xWOBA grouped by the number of strikes. https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/05965b81-3b24-4c01-8a96-1351c04a6d63/Volpe3.png Blog - Volpe’s Hitting Under the Microscope - Make it stand out Table 2: Volpe’s xWOBA vs. 2023 MLB average xWOBA, and Volpe’s xWOBACON vs. 2023 MLB average xWOBACON, grouped by two-strike counts https://www.paraballnotes.com/blog/what-went-wrong-with-bader monthly 0.5 2023-09-02 https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/9af80994-1f99-48fb-a3df-5db77bb4ed96/bader3+%282%29.jpg Blog - What Went Wrong with Bader? - Make it stand out Photo Credit: AP Photo/Noah K. Murray https://images.squarespace-cdn.com/content/v1/64ef3f6341701e05294d8e12/32d291e2-efc8-4b8e-9996-7ca1d504205e/Table1Bader.png Blog - What Went Wrong with Bader? - Make it stand out Table 1: Bader’s pitch breakdown against RHPs. pfx_x is horizontal break in feet. A positive pfx_x signifies break from right to left (away from Bader) and a negative pfx_x signifies break from left to right (towards Bader). 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