luckadjusted

Week 4 2021 · September 30, 2021

No FTN charting for this game (drops and interception-worthy throws are not modelled).

Jaguars at Bengals, Week 4 2021: who deserved to win?

The Bengals beat the Jaguars 24–21, but it was a coin flip: replayed with the way both teams played, the Bengals win 4 of 10. Luck ran their way: 3rd & 4th downs alone were worth 1.9 points to the Bengals.

The Bengals won on an off day: they played far below what the matchup promised. In a fresh game against the Jaguars they would win 72% of the time; with this day’s form, 42%. The numbers

Before kickoff the Bengals were 71% favorites. The biggest swing (Q4, 9:08 left): the Bengals converted 3rd & 3, worth 27 points of win probability to the Bengals.

Final

Jacksonville Jaguars 21
Cincinnati Bengals 24

September 30, 2021 · Paul Brown Stadium · Closing line: Bengals −7.5

Luck index +58 Bengals lucky · −58 Jaguars

Each team’s own plays from this game, resampled into new drives 4,000 times: with the way both teams actually played, how often does this performance win? How the replay works

Ten replays. Jaguars win 6, Bengals win 4.

  1. 1 JAX 37 CIN 14
  2. 2 JAX 33 CIN 17
  3. 3 JAX 27 CIN 16
  4. 4 JAX 37 CIN 29
  5. 5 JAX 27 CIN 23
  6. 6 JAX 36 CIN 34
  7. 7 JAX 7 CIN 9
  8. 8 JAX 24 CIN 30
  9. 9 JAX 20 CIN 30
  10. 10 JAX 17 CIN 34

Three other ways to ask

Each answers a different question, so none of them replaces the replay above.

The closing betting line, turned into a probability. What everyone knew before the game.

The line plus what this game showed, weighted by how much one game can tell. It stays close to the line because one game says little.

Every kick, fumble bounce, drop, conversion and judgment call redrawn; everything else fixed. The narrowest view of luck.

The Bengals won on an off day

They played far below what the matchup promised. In a fresh game against the Jaguars they would win 72% of the time; with this day’s form, 42%.

31 points apart for the Bengals: the gap is how differently this game went from what the two teams usually are.

UnitThis gameUsual levelBetter or worse than usual
Jaguars offenseEPA per play gained +0.18 +0.06 better by 0.12
Jaguars defenseEPA per play allowed +0.33 +0.22 worse by 0.11
Bengals offenseEPA per play gained +0.33 +0.11 better by 0.22
Bengals defenseEPA per play allowed +0.18 +0.13 worse by 0.06

EPA (expected points added) per play on competitive snaps, turnovers left out because they are valued as luck. Usual level: the team’s earlier games this season plus half of last season, pulled toward the league average. One team’s defense and the other team’s offense are the same snaps, so one game can’t fully say whose day it was; it shows how far this one was from both teams’ norms.

How 4,000 replays ended

Jaguars win 58% of them, Bengals 42%, counting the 3% still level after regulation as half each. The line is what actually happened: Bengals by 3.

Show as a table
Final margin in the replaysShare of replays
Jaguars by 17+12.9%
Jaguars by 9–1615.9%
Jaguars by 1–829.4%
Level after regulation2.9%
Bengals by 1–821.0%
Bengals by 9–1612.7%
Bengals by 17+5.3%

Where the luck was

Take the luck out

The final margin was Bengals by 3. Remove the luck, one kind at a time, and it becomes Bengals by 11.2.

Each row takes one kind of luck out of the margin. Color shows which team it helped. Luck shares are the fitted ones (how much of each component is luck).

The kicks

How likely each kicker was to make that kick (his own record, the distance and the weather), and what happened.

  • E. McPherson, 43 yds missed · 85% expected
  • E. McPherson, 35 yds made · 94% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

When it happened

Bengals’ chance of winning

As low as 8% and as high as 100%. Numbers mark the biggest luck moments, listed below.

nflfastR’s in-game win probability. It ignores the betting line, so it starts near even. Shaded above the middle while the Bengals were ahead in it, below while the Jaguars were.
#WhenWhat happenedWin probability forNext drive
1 Q1 5:25 E. McPherson missed 43-yard field goalKicks · 85% expected for him +11% JAX CIN: Punt
2 Q3 5:12 The Bengals converted 3rd & 13rd & 4th downs · 67% expected +9% CIN CIN: Touchdown
3 Q3 3:17 The Jaguars converted 4th & 23rd & 4th downs · 61% expected +10% JAX JAX: Touchdown
4 Q3 1:19 The Jaguars converted 3rd & 33rd & 4th downs · 53% expected +8% JAX JAX: Touchdown
5 Q4 9:08 The Bengals converted 3rd & 33rd & 4th downs · 53% expected +27% CIN CIN: Touchdown
6 Q4 3:55 Defensive Holding on the Jaguars, 5 yards, wiping out the playJudgment calls +13% CIN CIN: Field goal
7 Q4 2:00 Offensive Holding on the Bengals, 10 yardsJudgment calls +8% JAX –
8 Q4 0:04 E. McPherson made 35-yard field goalKicks · 94% expected for him +12% CIN –

Missing players

Key players (usually on the field for half the snaps or more) who missed this game or part of it, valued by position and quality. The same players are missing in every replay, so this counts as luck in points only.

  • Tee Higgins (CIN WR), out · 1.1 pts
  • Chidobe Awuzie (CIN CB), out · 0.6 pts
  • Xavier Su'a-Filo (CIN G), out · 0.3 pts
  • Fred Johnson (CIN OT), out · 0.2 pts
  • Josh Lambo (JAX K), out · 0.3 pts
  • Roy Robertson-Harris (JAX DT), out · 0.2 pts

Adjust the assumptions

Disagree with how much of a fumble bounce or a pass interference call is luck? Change it and the coin-flip replay reruns in your browser.

Only coin-flips re-rolled

Jaguars 2% · Bengals 98%

Final margin
Bengals by 3
Luck in points
8.2 for the Jaguars
Luck-adjusted margin
Bengals by 11.2
Replay with same day's form
Jaguars 58% · Bengals 42% unchanged: why
How much of each is luck?

0% treats it as skill, 100% as pure luck. The tick is our fit.

What counts

We tested momentum on 19,000 lucky breaks and found none, so it's off by default. Why

Flip a play

Force the other outcome, in this game and in every replay: a made kick becomes a miss, a stop becomes a conversion, a flag goes the other way.

About these numbers

Play-by-play and win probability from nflfastR via nflverse; kicks valued against each kicker’s own record; drops and interception-worthy throws from FTN charting (not available for this game); injuries from snap counts and injury reports. No FTN charting for this game (drops and interception-worthy throws are not modelled).

Methodology and validation · All Week 4 2021 games · Jaguars · Bengals

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