The Burrow, Report 2: figures
Figures in palette v1, built from the census outputs by build-report2-figures.py. Each figure names the real-world method it borrows. Hover any mark for its value; every figure has a table view.
A seventh of us walked away
Call every game the four nerfed champions showed up in before 26.20 a hundred. Two weeks after the patch, players put them into about 86. Of every hundred games the champions still played, about one and a half more ended in a loss.
From risk communication: icon arrays and expected frequencies (Spiegelhalter, The Art of Statistics, 2019, pp. 31–34). There: a hundred people, with the extra cancers from eating bacon every day set apart. Here: a hundred games with the four nerfed champions, with the 14 that went to other champions set apart.
Table view
| Measure | Change against unchanged champions | 95% range |
|---|---|---|
| Pick rate | −14% | −17% to −10% |
| Win rate | −1.6 points | −3.4 to +0.3 points |
Players moved further than the champions did
Each dot is a champion in the two weeks after 26.19 or 26.20, placed by how many games it had. The funnel lines show how far a champion Riot left alone drifts in two weeks (solid 95%, dashed 99.8%). One by one, most changed champions are inside that drift: on picks, 2 of 8 nerfed and 2 of 13 reskinned champions are outside the inner funnel, on wins 1 and 0. Taken together, the nerfed are low on picks and near the middle on wins, which is the pooled result in the article.
From healthcare regulation: funnel plots (Spiegelhalter et al., JRSS A, 2012; Dover and Schopflocher, Population Health Metrics, 2011). There: hospitals’ death rates against their size, with limits for what chance allows. Here: each champion’s change against its games, with limits for how far an untouched champion drifts.
Table view
| Champion | Patch | Change | Games | Picks | Win (points) |
|---|---|---|---|---|---|
| Yunara | 26.20 | nerfed | 14,089 | −35% (−38 to −32) | −1.3 (−3.5 to +1.0) |
| Nocturne | 26.19 | nerfed | 7,068 | −22% (−28 to −14) | −0.5 (−3.5 to +2.5) |
| Ryze | 26.19 | nerfed | 2,869 | −12% (−21 to −3) | −3.9 (−8.5 to +0.5) |
| Vi | 26.19 | nerfed | 4,552 | −12% (−18 to −5) | −1.1 (−4.7 to +2.6) |
| Ashe | 26.20 | nerfed | 11,935 | −7% (−11 to −2) | −0.5 (−2.7 to +1.7) |
| Ambessa | 26.20 | nerfed | 4,334 | −6% (−14 to +1) | +0.8 (−3.4 to +4.7) |
| Poppy | 26.19 | nerfed | 3,365 | −6% (−14 to +1) | −2.4 (−6.5 to +1.7) |
| K'Sante | 26.20 | nerfed | 3,020 | −1% (−11 to +10) | −5.3 (−10.0 to −0.2) |
| Zed | 26.20 | new skin only | 9,353 | 0% (−5 to +6) | +0.3 (−2.0 to +2.9) |
| Kennen | 26.20 | buffed | 2,504 | +1% (−14 to +16) | −1.8 (−7.0 to +3.6) |
| Aphelios | 26.20 | new skin only | 7,485 | +1% (−7 to +10) | +0.8 (−2.4 to +4.1) |
| Vayne | 26.20 | buffed | 6,210 | +1% (−5 to +8) | +2.4 (−0.6 to +5.2) |
| Zyra | 26.20 | new skin only | 6,326 | +4% (−3 to +10) | +0.1 (−2.7 to +3.1) |
| Anivia | 26.19 | new skin only | 3,894 | +5% (−4 to +15) | 0.0 (−4.3 to +4.2) |
| Yone | 26.20 | new skin only | 22,139 | +6% (+2 to +10) | +0.9 (−0.7 to +2.6) |
| Mel | 26.19 | new skin only | 6,810 | +6% (+0 to +13) | +0.2 (−2.4 to +2.9) |
| Sett | 26.20 | new skin only | 9,342 | +8% (+3 to +14) | −0.5 (−2.9 to +1.9) |
| Tahm Kench | 26.20 | buffed | 7,502 | +9% (+1 to +16) | +0.2 (−2.5 to +2.9) |
| Jax | 26.20 | new skin only | 8,532 | +9% (+3 to +16) | +1.9 (−0.8 to +4.5) |
| Neeko | 26.20 | buffed | 2,946 | +9% (−3 to +23) | +0.3 (−3.8 to +4.8) |
| Urgot | 26.19 | new skin only | 5,483 | +10% (+1 to +19) | +0.7 (−2.5 to +3.9) |
| Aatrox | 26.19 | buffed | 6,278 | +10% (+3 to +18) | −4.7 (−8.0 to −1.4) |
| Ezreal | 26.20 | new skin only | 10,722 | +10% (+5 to +16) | +1.1 (−1.3 to +3.5) |
| Lucian | 26.20 | buffed | 8,091 | +11% (+4 to +18) | −0.3 (−3.1 to +2.6) |
| Lee Sin | 26.20 | new skin only | 7,511 | +11% (+3 to +19) | −0.5 (−3.7 to +2.6) |
| Kayn | 26.20 | new skin only | 10,345 | +13% (+7 to +19) | +0.4 (−1.9 to +2.8) |
| Swain | 26.20 | buffed | 8,472 | +15% (+9 to +21) | +0.1 (−2.3 to +2.5) |
| Aurora | 26.19 | buffed | 3,648 | +16% (+4 to +27) | −2.2 (−6.7 to +2.1) |
| Mordekaiser | 26.20 | buffed | 10,063 | +16% (+11 to +22) | +1.4 (−1.0 to +3.7) |
| Diana | 26.20 | buffed | 7,436 | +18% (+10 to +27) | +3.2 (+0.5 to +6.0) |
| Fiora | 26.19 | buffed | 5,032 | +20% (+10 to +30) | +1.3 (−2.2 to +4.8) |
| Smolder | 26.20 | buffed | 6,864 | +20% (+12 to +29) | −1.5 (−4.3 to +1.5) |
| Lillia | 26.19 | buffed | 5,685 | +20% (+13 to +29) | +2.4 (−0.9 to +5.8) |
| Draven | 26.19 | buffed | 5,763 | +21% (+12 to +31) | +1.4 (−2.0 to +4.6) |
| Lillia | 26.20 | buffed | 7,072 | +22% (+15 to +31) | +0.5 (−2.4 to +3.4) |
| Kindred | 26.20 | buffed | 3,752 | +25% (+15 to +35) | +3.1 (−1.0 to +7.0) |
| Volibear | 26.19 | buffed | 7,313 | +30% (+22 to +38) | +2.5 (−0.3 to +5.4) |
| Kha'Zix | 26.19 | buffed | 5,932 | +49% (+38 to +61) | −3.6 (−7.3 to −0.1) |
| Aphelios | 26.19 | buffed | 6,234 | +50% (+37 to +62) | −1.9 (−5.1 to +1.5) |
| Janna | 26.19 | new skin only | 6,409 | +64% (+53 to +77) | +0.7 (−2.7 to +4.3) |
| Elise | 26.19 | buffed | 2,946 | +66% (+47 to +85) | −3.4 (−8.9 to +1.8) |
Nobody left on patch day, except Yunara’s players
Appearances per 100 games each day, before and after 26.20. The dashed line is where each would have gone if it had moved like the champions Riot left alone. Yunara’s line breaks on patch day; the four together drift away over two weeks.
From health-policy evaluation: interrupted time series (Lu et al., BMJ, 2014). There: antidepressant use per quarter before and after an FDA warning aimed at young people. Here: appearances per 100 games each day before and after a patch note aimed at pros.
Table view
| Day | Yunara | expected | Four nerfs | expected |
|---|---|---|---|---|
| -14 | 12.2 | 28.8 | ||
| -13 | 12.5 | 29.4 | ||
| -12 | 12.4 | 27.8 | ||
| -11 | 13.1 | 29.9 | ||
| -10 | 12.7 | 29.1 | ||
| -9 | 12.3 | 29.2 | ||
| -8 | 14.0 | 31.2 | ||
| -7 | 12.4 | 28.3 | ||
| -6 | 13.2 | 30.7 | ||
| -5 | 13.6 | 30.0 | ||
| -4 | 12.2 | 28.0 | ||
| -3 | 12.9 | 27.9 | ||
| -2 | 12.5 | 27.5 | ||
| -1 | 12.0 | 27.9 | ||
| 0 | 9.8 | 12.4 | 25.7 | 28.4 |
| 1 | 9.6 | 12.5 | 25.6 | 28.5 |
| 2 | 9.5 | 12.5 | 24.8 | 28.5 |
| 3 | 9.5 | 12.6 | 25.2 | 28.7 |
| 4 | 8.5 | 12.6 | 24.8 | 28.8 |
| 5 | 8.1 | 12.6 | 23.5 | 28.8 |
| 6 | 7.6 | 12.7 | 23.1 | 28.9 |
| 7 | 7.1 | 12.7 | 22.0 | 28.8 |
| 8 | 7.6 | 12.7 | 23.0 | 28.9 |
| 9 | 8.9 | 12.7 | 24.5 | 28.9 |
| 10 | 8.0 | 12.6 | 23.0 | 28.8 |
| 11 | 7.3 | 12.6 | 21.3 | 28.8 |
| 12 | 8.6 | 12.7 | 23.1 | 28.9 |
| 13 | 7.9 | 12.7 | 22.6 | 28.9 |
The stage plays by its own notes
Pick-and-ban presence at each Worlds, 2019 to 2026. Champions nerfed in the run-up stay the most drafted; buffed ones match the unchanged. Azir drops to zero and back whatever his notes say.
From statistical graphics: small multiples (Tufte, The Visual Display of Quantitative Information, 2001, pp. 170–75). There: the same small chart repeated across places or times. Here: the same presence chart repeated for each group and each champion.
Table view
| Worlds | Games | Nerfed | Unchanged | Buffed | Azir | Yunara | K'Sante |
|---|---|---|---|---|---|---|---|
| 2019 | 120 | 40% | 11% | 13% | 4% | 0% | 0% |
| 2020 | 114 | 32% | 12% | 6% | 25% | 0% | 0% |
| 2021 | 121 | 38% | 8% | 13% | 23% | 0% | 0% |
| 2022 | 127 | 28% | 9% | 18% | 72% | 0% | 0% |
| 2023 | 110 | 29% | 11% | 10% | 65% | 0% | 55% |
| 2024 | 106 | 30% | 7% | 19% | 0% | 0% | 38% |
| 2025 | 84 | 43% | 9% | 7% | 82% | 88% | 38% |
| 2026 | 51 | 40% | 10% | 3% | 0% | 20% | 51% |
K’Sante, the riskier first pick
Each thread is one lane opponent with 30 or more games: the raw win rate on top, the estimate after removing small-sample noise below. Small samples are pulled hardest toward his average. Before the nerf the bottom line bunches tight; after it, it spreads, and Teemo is furthest out.
From statistics, via baseball: Stein’s paradox, the two-line plot (Efron and Morris, Scientific American, 1977, p. 119). There: eighteen batting averages after 45 at-bats, each pulled toward the group average. Here: K’Sante’s win rate against each lane opponent, pulled toward his average by how few games it rests on.
Table view
| Opponent | 26.19 raw (games) | 26.19 estimate | 26.20 raw (games) | 26.20 estimate |
|---|---|---|---|---|
| Aatrox | 50% (40) | 49.0% | 45% (33) | 44.7% |
| Camille | 61% (33) | 50.4% | ||
| Darius | 52% (54) | 49.2% | 48% (67) | 46.1% |
| Fiora | 35% (37) | 47.8% | ||
| Gangplank | 52% (42) | 49.2% | 52% (33) | 46.9% |
| Garen | 46% (87) | 48.5% | 33% (57) | 38.5% |
| Gnar | 53% (36) | 49.2% | 48% (33) | 45.8% |
| Gwen | 35% (31) | 48.0% | 40% (30) | 42.8% |
| Illaoi | 54% (37) | 49.3% | 26% (34) | 36.6% |
| Jax | 54% (41) | 49.3% | ||
| Kayle | 30% (33) | 47.5% | 50% (32) | 46.3% |
| Malphite | 58% (38) | 49.8% | ||
| Mordekaiser | 57% (46) | 49.6% | 45% (65) | 44.5% |
| Nasus | 43% (35) | 48.5% | ||
| Ornn | 42% (33) | 43.6% | ||
| Renekton | 49% (41) | 48.9% | 55% (33) | 48.0% |
| Sett | 49% (49) | 48.9% | 53% (59) | 48.5% |
| Shen | 50% (36) | 49.0% | ||
| Teemo | 50% (46) | 49.0% | 26% (35) | 36.0% |
| Tryndamere | 51% (41) | 47.2% | ||
| Urgot | 45% (33) | 48.7% | 38% (32) | 41.7% |
| Volibear | 66% (35) | 50.2% | ||
| Yone | 55% (62) | 49.6% | 36% (70) | 39.4% |
Solo queue found mid Kog’Maw first
Share of Kog’Maw’s solo queue games played mid each day from 2 October, against limits for an ordinary day set from the two weeks before MVK’s first stage game. The shaded days, 16 and 17 October, are when MVK played him mid at Worlds; both are inside the limits. The one day outside is 7 October, the day patch 26.20 went live. By patch: 9% on 26.18, 16% on 26.19, 14% on 26.20.
From statistical process control: the control chart (Dover and Schopflocher, Population Health Metrics, 2011, pp. 2–3, 6). There: a health rate watched against limits set by a baseline period. Here: Kog’Maw’s daily share of mid games watched against limits set by the two weeks before MVK played him.
Table view
| Day | Kog’Maw games | Played mid | 95% limits |
|---|---|---|---|
| 2026-10-02 | 120 | 10% | 5% to 25% |
| 2026-10-03 | 147 | 15% | 6% to 24% |
| 2026-10-04 | 165 | 18% | 7% to 23% |
| 2026-10-05 | 152 | 21% | 6% to 24% |
| 2026-10-06 | 147 | 17% | 6% to 24% |
| 2026-10-07 | 130 | 26% | 5% to 25% |
| 2026-10-08 | 130 | 17% | 5% to 25% |
| 2026-10-09 | 150 | 16% | 6% to 24% |
| 2026-10-10 | 146 | 13% | 6% to 23% |
| 2026-10-11 | 138 | 11% | 6% to 24% |
| 2026-10-12 | 142 | 14% | 6% to 24% |
| 2026-10-13 | 138 | 11% | 6% to 24% |
| 2026-10-14 | 146 | 10% | 6% to 24% |
| 2026-10-15 | 135 | 10% | 6% to 24% |
| 2026-10-16 | 163 | 18% | 6% to 24% |
| 2026-10-17 | 175 | 22% | 7% to 23% |
| 2026-10-18 | 172 | 15% | 7% to 23% |
| 2026-10-19 | 151 | 10% | 6% to 24% |
| 2026-10-20 | 157 | 15% | 6% to 24% |
| 2026-10-21 | 214 | 17% | 8% to 22% |
| 2026-10-22 | 112 | 17% | 5% to 25% |
| 2026-10-23 | 133 | 20% | 6% to 24% |
| 2026-10-24 | 143 | 21% | 6% to 24% |
| 2026-10-25 | 52 | 15% | 1% to 29% |