Penalties / match: 0.290 → 0.364 (+26%) between 2014-18 and 2018-22, p = 0.001.See
Reds / match: 0.243 → 0.216 (−11%) between 2014-18 and 2018-22, p = 0.14.See
Yellows / match: 5.14 → 4.98 (−3%) between 2014-18 and 2018-22, p = 0.05.See
Fouls / match: 27.8 → 26.9 (−3%) between 2014-18 and 2018-22, p = 0.001.See
VAR arrives in 2018-19, the same season the payments end.See
Penalties / match
Effect of VARWhole-Liga average, four seasons before against four seasons after the arrival of VAR. VAR arrives the same season the payments end.
2014-18
0.290
2018-22
0.364
+26% · p (permutation) = 0.001
Reds / match
Effect of VARWhole-Liga average, four seasons before against four seasons after the arrival of VAR. VAR arrives the same season the payments end.
2014-18
0.243
2018-22
0.216
−11% · p (permutation) = 0.14
Yellows / match
Effect of VARWhole-Liga average, four seasons before against four seasons after the arrival of VAR. VAR arrives the same season the payments end.
2014-18
5.14
2018-22
4.98
−3% · p (permutation) = 0.05
Fouls / match
Effect of VARWhole-Liga average, four seasons before against four seasons after the arrival of VAR. VAR arrives the same season the payments end.
2014-18
27.8
2018-22
26.9
−3% · p (permutation) = 0.001
Main limitation: VAR arrives the same season the payments end (2018-19): this study cannot separate the two effects. All limitations
Penalties / match, whole Liga
By season; the dotted line marks the arrival of VAR
Penalties / match, whole LigaChange by season. Hover over a point for the exact value. The dotted line marks the arrival of VAR.
0.200.250.300.350.40
VAR
00-0105-0610-1115-1620-2125-26
Reds / match, whole Liga
By season; the dotted line marks the arrival of VAR
Reds / match, whole LigaChange by season. Hover over a point for the exact value. The dotted line marks the arrival of VAR.
0.150.200.250.300.350.400.45
VAR
00-0105-0610-1115-1620-2125-26
Yellows / match, whole Liga
By season; the dotted line marks the arrival of VAR
Yellows / match, whole LigaChange by season. Hover over a point for the exact value. The dotted line marks the arrival of VAR.
4.44.64.85.05.25.45.6
VAR
00-0105-0610-1115-1620-2125-26
Fouls / match, whole Liga
By season; the dotted line marks the arrival of VAR
Fouls / match, whole LigaChange by season. Hover over a point for the exact value. The dotted line marks the arrival of VAR.
2025303540
VAR
00-0105-0610-1115-1620-2125-26
Limitations
LimitationsWhat these figures cannot tell us.
VAR arrives the same season the payments end (2018-19): this study cannot separate the two effects.
2019-20 and 2020-21 seasons: matches behind closed doors, which may also change behaviour.
Comparison of whole-Liga averages, four seasons before against four seasons after; p computed by permuting the seasons.
Fouls are only available from 2005-06.
Definitions
Expected points
Before each match, the bookmakers' odds give the probability of a win, a draw and a defeat. Expected points = 3 × P(win) + P(draw). A positive deviation means the club took more points than the market predicted. Because the team's strength is already built into the odds, a big club has no "automatic" positive deviation.
q-value
With hundreds of comparisons, some look extreme by chance. The Benjamini-Hochberg correction accounts for this: a deviation is only called notable if q < 0.05. Otherwise: inconclusive. Inconclusive does not mean "no effect": with 11 matches, only a deviation of about ±1.57 points per match could have been detected.
Difference-in-differences
We measure the club's change between two periods, then subtract the change of a comparison group over the same periods. What remains is the change specific to the club.
Strength-adjusted measures
Each match is compared with Liga matches from the same season, at the same venue type (home/away) and between teams of comparable strength according to the odds. A positive value is favourable to the club.