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. 2021 Mar 31;16(3):e0248590. doi: 10.1371/journal.pone.0248590

Table 3. Influence of spectators and season on football matches based on seasons 2010/11–2019/20.

Dependent variable Goals Points Expected Points Shots Shots on Target Fouls Yellow Cards Red Cards
Number of matches 37,888 37,888 37,888 21,714 21,714 25,270 25,270 25,270
Constant 0.2241*** (0.0553) 0.3219*** (0.0817) 0.2804*** (0.0298) 1.029*** (0.2639) 0.3729** (0.1222) 0.2510 (0.2018) 0.1510** (0.0552) 0.0021 (0.0142)
Spectator 0.1079 (0.0564) 0.1519 (0.0833) 0.1399*** (0.0278) 1.399*** (0.2729) 0.4577*** (0.1264) -0.5890*** (0.1774) -0.4470*** (0.0571) -0.0334* (0.0149)
Season -0.0045 (0.0032) -0.0066 (0.0047) -0.0062*** (0.0016) -0.0552* (0.0219) -0.0306** (0.0101) -0.0094 (0.0131) 0.0036 (0.0040) -0.0000 (0.0010)
Estimated differences by the model
With spectators (10/11) 0.3724 0.5330 0.4764 2.8915 1.106 -0.2536 -0.2640 -0.0334
With spectators (19/20) 0.3320 0.4738 0.4203 2.4280 0.8306 -0.3380 -0.2960 -0.0313
Reduction by seasons 10.9% 11.1% 11.8% 16.0% 24.9% -33.3% -12.1% -2.5%
Without spectators (19/20) 0.2241 0.3219 0.2804 1.029 0.3729 0.2510 0.1510 0.0021
Reduction by spectators 32.5% 32.1% 33.3% 57.6% 55.1% 174.3% 151.0% 106.6%

The table reports the results for a linear mixed regression model including Spectator and Season as fixed effects and controlling for League as random effect.

* p < 0.05,

** p < 0.01,

*** p < 0.001.