luckadjusted

Week 2 2022 · September 18, 2022

Bengals at Cowboys, Week 2 2022: who deserved to win?

The Cowboys beat the Bengals 20–17 and were the better team on the day: replayed with the same form, they win 8 of 10. The Bengals had the bounces: injuries alone were worth 7.7 points to the Bengals.

An off day for the Bengals: they played far below what the matchup promised. In a fresh game against the Cowboys they would win 68% of the time; with this day’s form, 21%. The numbers

Before kickoff the Bengals were 71% favorites. The biggest swing (Q4, 0:03 left): B. Maher made 50-yard field goal, worth 30 points of win probability to the Cowboys.

Final

Cincinnati Bengals 17
Dallas Cowboys 20

September 18, 2022 · AT&T Stadium · Closing line: Bengals −7.5

Luck index +21 Cowboys about even · −21 Bengals

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. Bengals win 2, Cowboys win 8.

  1. 1 CIN 23 DAL 10
  2. 2 CIN 20 DAL 17
  3. 3 CIN 16 DAL 18
  4. 4 CIN 16 DAL 20
  5. 5 CIN 24 DAL 31
  6. 6 CIN 10 DAL 20
  7. 7 CIN 15 DAL 27
  8. 8 CIN 17 DAL 32
  9. 9 CIN 6 DAL 24
  10. 10 CIN 6 DAL 33

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.

An off day for the Bengals

They played far below what the matchup promised. In a fresh game against the Cowboys they would win 68% of the time; with this day’s form, 21%.

47 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
Bengals offenseEPA per play gained +0.04 +0.11 worse by 0.07
Bengals defenseEPA per play allowed +0.07 +0.09 better by 0.02
Cowboys offenseEPA per play gained +0.07 +0.13 worse by 0.05
Cowboys defenseEPA per play allowed +0.04 +0.09 better by 0.05

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

Bengals win 21% of them, Cowboys 79%, counting the 4% still level after regulation as half each. The line is what actually happened: Cowboys by 3.

Show as a table
Final margin in the replaysShare of replays
Bengals by 17+2.2%
Bengals by 9–165.7%
Bengals by 1–812.9%
Level after regulation4.2%
Cowboys by 1–825.4%
Cowboys by 9–1622.7%
Cowboys by 17+27.0%

Where the luck was

Take the luck out

The final margin was Cowboys by 3. Remove the luck, one kind at a time, and it becomes Cowboys by 16.9.

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 made · 86% expected
  • B. Maher, 54 yds made · 64% expected
  • E. McPherson, 50 yds made · 78% expected
  • E. McPherson, 46 yds made · 85% expected
  • B. Maher, 50 yds made · 71% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

When it happened

Cowboys’ chance of winning

As low as 48% 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 Cowboys were ahead in it, below while the Bengals were.
#WhenWhat happenedWin probability forNext drive
1 Q1 12:37 The Cowboys were stopped on 3rd & 23rd & 4th downs · 59% expected +5% CIN DAL: Touchdown
2 Q1 12:33 The Cowboys converted 4th & 23rd & 4th downs · 59% expected +10% DAL DAL: Touchdown
3 Q1 1:32 The Cowboys converted 3rd & 103rd & 4th downs · 27% expected +9% DAL DAL: Touchdown
4 Q3 4:54 The Bengals were stopped on 3rd & 43rd & 4th downs · 44% expected +6% DAL CIN: Field goal
5 Q4 6:03 The Bengals converted 4th & 63rd & 4th downs · 36% expected +10% CIN CIN: Touchdown
6 Q4 3:45 The Bengals’ two-point try was good3rd & 4th downs · 47% expected +11% CIN CIN: Punt
7 Q4 2:24 The Cowboys were stopped on 3rd & 143rd & 4th downs · 21% expected +7% CIN DAL: Punt
8 Q4 0:03 B. Maher made 50-yard field goalKicks · 71% expected for him, 7 of 14 from 45+ before +30% DAL –

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.

  • Dak Prescott (DAL QB), out, replaced by c.rush · 5.9 pts
  • Tyron Smith (DAL T), out (IR) · 1.2 pts
  • Michael Gallup (DAL WR), out · 0.8 pts
  • Jayron Kearse (DAL FS), out · 0.3 pts
  • Isaiah Prince (CIN T), out (IR) · 0.4 pts
  • Hakeem Adeniji (CIN G), 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

Bengals 7% · Cowboys 93%

Final margin
Cowboys by 3
Luck in points
13.9 for the Bengals
Luck-adjusted margin
Cowboys by 16.9
Replay with same day's form
Bengals 21% · Cowboys 79% 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; injuries from snap counts and injury reports.

Methodology and validation · All Week 2 2022 games · Bengals · Cowboys

More from Week 2 2022