Of the 1151 games, were scored 3497 goals, which are distributed as follows about the league group as well as the goal classification (Table 1). The Top leagues obtained 53% of the goals due the influence of offensive transitions. The number for the Marginal leagues decreases to 43% and in the Emerging leagues to the 42%. The results obtained in each of the leagues can be seen in the table S1.
Table 1: Distribution of the types of goals per leagues
|
Games Observed with Goals
|
Total Goals
|
Goals by NT
|
Goals by OT
|
Goals by SP
|
Goals by POS OUT
|
Goals by OT + POS OUT
|
% Of goals By OT + POS OUT
|
Emerging Leagues
|
262
|
827
|
266
|
265
|
216
|
80
|
345
|
41,72 %
|
Marginal Leagues
|
391
|
1144
|
386
|
397
|
264
|
97
|
494
|
43,18 %
|
Top Leagues
|
498
|
1526
|
412
|
643
|
304
|
167
|
810
|
53,08 %
|
Totals
|
1151
|
3497
|
1064
|
1305
|
784
|
344
|
1649
|
47,15 %
|
Note: NT – No Transition. OT – Offensive Transition. SP – Set Pieces. POS OUT – Positive Outcome.
OT + POS OUT – Goals obtained by Offensive transition and Positive Outcome.
Table 2 shows the average of goals scored in each of the respective league groups (TL, ML and EL), as well as the standard deviation and the total number of goals scored in each variable. The results of the same variables in each of the leagues can be seen in table S2.
Table 2: Goals Average and intervals confidence by group league according with the goals classification.
Descriptive Statistics
|
Descriptive Statistics – Goals by Offensive Transitions (OT)
|
|
Descriptive Statistics – Goals by Positive Outcome (POS OUT)
|
|
M
|
s
|
N
|
|
|
M
|
s
|
N
|
Emerging
|
1.01
|
0.97
|
262
|
|
Emerging
|
0.31
|
0.53
|
262
|
Marginal
|
1.02
|
1.06
|
391
|
|
Marginal
|
0.25
|
0.48
|
391
|
Top
|
1.29
|
1.07
|
498
|
|
Top
|
0.34
|
0.56
|
498
|
|
|
|
|
|
|
|
|
|
Descriptive Statistics – Goals by Set Pieces (SP)
|
|
Descriptive Statistics – Goals by No Transitions (NT)
|
|
M
|
s
|
N
|
|
|
M
|
s
|
N
|
Emerging
|
0.82
|
0.85
|
262
|
|
Emerging
|
1.02
|
1.03
|
262
|
Marginal
|
0.68
|
0.79
|
391
|
|
Marginal
|
0.99
|
1.04
|
391
|
Top
|
0.61
|
0.75
|
498
|
|
Top
|
0.83
|
0.90
|
498
|
Note: M – Media of these events per game; S - standard deviation; N – Total number of events
Top Leagues have a higher average of goals per OT (1,29), while the other leagues have very similar values. Regarding goals by POS OUT, the Top Leagues also have a higher average than the other leagues (0,34), being seconded by Emerging Leagues (0,31) and Marginal Leagues (0,25) respectively. Regarding the average of goals, either by SP or NT, the Emerging Leagues (SP = 0,82; NT= 1,02) lead followed in this order by Marginal Leagues (SP = 0,68; NT= 0,99) and Top leagues (SP = 0,61; NT= 0,83).
The analysis of table 3 allows estimating that the number of goals obtained by OT in Top Leagues is higher than in Marginal Leagues and Emerging Leagues. Thus, in Top Leagues it is expected that there will be 0.28 more goals (95% CI [0.12;0.44]) per OT than in the Emerging Leagues and 0,28 more goals (95% CI [0.14;0.41]) per OT than in the Marginal Leagues. Analyzing the Emerging Leagues and Marginal Leagues among themselves, the results show that it is not expected that there are differences between them (95% CI [-0.15;0.16]) in the achievement of goals by OT. The results for OT in each of the leagues are described in S3.
Table 3: – Estimate Ind. Groups Contrasts – Goals obtained by OT – Comparison between TL, ML and EL
Estimate Ind. Groups Contrasts – Goals by OT
|
Contrasts – Top Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
1.29
|
0.09
|
1.20
|
1.38
|
NaN
|
Marginal
|
1.02
|
0.10
|
0.91
|
1.12
|
NaN
|
Top vs. Marginal
|
0.28
|
0.14
|
0.14
|
0.41
|
< .001
|
|
|
|
|
|
|
Contrasts – Top Leagues vs Emerging Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
1.29
|
0.09
|
1.20
|
1.38
|
NaN
|
Emerging
|
1.01
|
0.13
|
0.89
|
1.14
|
NaN
|
Top vs. Emerging
|
0.28
|
0.16
|
0.12
|
0.44
|
< .001
|
|
|
|
|
|
|
Contrasts – Emerging Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Emerging
|
1.01
|
0.13
|
0.89
|
1.14
|
NaN
|
Marginal
|
1.01
|
0.10
|
0.91
|
1.12
|
NaN
|
Emerging vs. Marginal
|
-0.00
|
0.16
|
-0.15
|
0.16
|
0.96
|
Note: M – Media of these events per game; S - standard deviation; N – Total number of events; 95% CI - confidence intervals (95%); MoE – Margin of Error; p – p value; NaN – Not a number
Figure 2 allow the visualization of the difference in goals expected by OT between the different leagues, as well as the confidence interval that allows estimating the difference in obtaining goals by Offensive Transition in each of the leagues. For the same variable, figure S1 presents the results of each league comparing the results obtained within the same group of leagues.
POS OUT goals (table 4) are higher in Top Leagues than in other leagues. Comparing the different leagues, it is expected that in Top Leagues there are 0.03 more goals (95% CI [-0.05;0.11]) per POS OUT than in Emerging Leagues, and 0.09 goals (95% CI [0.02;0.16]) than in Marginal Leagues. The comparison between Emerging Leagues and Marginal Leagues also allows to state that it is expected that there will be 0.06 more goals (95% CI [-0.03;0.14]) in Emerging Leagues than in Marginal Leagues by POS OUT. The results for POS OUT in each of the leagues are described in S4.
Table 4: – Estimate Ind. Groups Contrasts – Goals obtained by POS OUT – Comparison between TL, ML and EL
Estimate Ind. Groups Contrasts – Goals by POS OUT
|
Contrasts – Top Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
0.34
|
0.05
|
0.29
|
0.38
|
NaN
|
Marginal
|
0.25
|
0.05
|
0.20
|
0.30
|
NaN
|
Top vs. Marginal
|
0.09
|
0.07
|
0.02
|
0.16
|
0.014
|
|
|
|
|
|
|
Contrasts – Top Leagues vs Emerging Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
P
|
Top
|
0.34
|
0.05
|
0.29
|
0.38
|
NaN
|
Emerging
|
0.31
|
0.06
|
0.24
|
0.37
|
NaN
|
Top vs. Emerging
|
0.03
|
0.08
|
-0.03
|
0.11
|
0.455
|
|
|
|
|
|
|
Contrasts – Emerging Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
P
|
Emerging
|
0.31
|
0.06
|
0.24
|
0.37
|
NaN
|
Marginal
|
0.25
|
0.05
|
0.20
|
0.30
|
NaN
|
Emerging vs. Marginal
|
0.06
|
0.08
|
-0.03
|
0.14
|
0.173
|
Note: M – Media of these events per game; S - standard deviation; N – Total number of events; 95% CI - confidence intervals (95%); MoE – Margin of Error; p – p value; NaN – Not a number
Figure 3 show that the number of goals estimated by POS OUT is higher in Top Leagues than in the others. This value is three times higher for Marginal Leagues than Emerging Leagues. The difference between Top Leagues and Emerging Leagues is considerably small and the expected values are close between them. Still in the goals obtained by the POS OUT, it is expected that there will be slightly more goals in the Emerging Leagues than in the Marginal Leagues. The confidence interval shows that both alloys have relatively close expected values. The figure S2 shows the results of the same variable in each league, comparing the results obtained within the same group of leagues.
For goals by SP, it appears that these are more likely to happen in Emerging Leagues (table 2). When comparing the different leagues (table 5), it is expected that in Emerging Leagues there are 0.21 more goals (95% CI [0.33;0.8]) than in Top Leagues and 0.15 more goals (95% CI [0.03;0.27]) than in Marginal Leagues. Between Marginal Leagues and Top Leagues, it is estimated that there will be 0.06 more goals (95% CI [-0.15;0.04]) in Marginal Leagues. In this way it is possible to say that in Top Leagues goals by SP are less likely to happen when compared to other leagues. The results for SP in each of the leagues are described in S5.
Table 5: – Estimate Ind. Groups Contrasts – Goals obtained by SP – Comparison between TL, ML and EL
Estimate Ind. Groups Contrasts – Goals by SP
|
Contrasts – Top Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
0.61
|
0.07
|
0.54
|
0.68
|
NaN
|
Marginal
|
0.68
|
0.08
|
0.60
|
0.75
|
NaN
|
Top vs. Marginal
|
-0.06
|
0.10
|
-0.15
|
0.04
|
0.225
|
|
|
|
|
|
|
Contrasts – Top Leagues vs Emerging Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
0.61
|
0.07
|
0.54
|
0.68
|
NaN
|
Emerging
|
0.82
|
0.10
|
0.73
|
0.92
|
NaN
|
Top vs. Emerging
|
-0.21
|
0.12
|
-0.33
|
-0.08
|
< .001
|
|
|
|
|
|
|
Contrasts – Emerging Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Emerging
|
0.82
|
0.10
|
0.73
|
0.92
|
NaN
|
Marginal
|
0.68
|
0.08
|
0.60
|
0.75
|
NaN
|
Emerging vs. Marginal
|
0.15
|
0.12
|
0.03
|
0.27
|
0.018
|
Note: M – Media of these events per game; S - standard deviation; N – Total number of events; 95% CI - confidence intervals (95%); MoE – Margin of Error; p – p value; NaN – Not a number
In figure 4 it is possible to observe that the goals by SP have a greater preponderance in the Emerging Leagues, and the difference is much more accentuated in relation to the Top Leagues and smaller for the Marginal Leagues. Between Marginal Leagues and Top Leagues, the difference is very low, so the estimated number of goals will be approximately the same, with a small probability of more happening in Marginal Leagues. The figure S3 shows the results of the same variable in each league, comparing the results obtained within the same group of leagues.
From table 2 the goals by NT occur more often in Emerging Leagues, followed by Marginal Leagues and finally in Top Leagues. The table 6 presents the respective comparisons, so it is possible to expect 0.19 more goals (95% CI [-0.34; -0.04]) per NT in Emerging Leagues than in Top Leagues. This value has decreased considerably compared to Marginal Leagues, so it is expected 0.03 more goals (95% CI [-0.13;0.18]) per NT in Emerging Leagues. Comparing the Marginal Leagues with the Top Leagues, it is expected that there will be 0.18 more goals (95% CI [-0.29; -0.03]) in Marginal Leagues. All these results can be seen in Figure 5, which shows the lower preponderance of goals scored by NT in the Top Leagues compared to the Marginal and Emerging Leagues. The results for NT in each of the leagues are described in S6 and the figure S4 shows the results of the same variable in each league, comparing the results obtained within the same group of leagues.
Table 6: – Estimate Ind. Groups Contrasts – Goals obtained by NT – Comparison between TL, ML and EL
Estimate Ind. Groups Contrasts – Goals by NT
|
Contrasts – Top Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
0.83
|
0.09
|
0.74
|
0.91
|
NaN
|
Marginal
|
0.99
|
0.10
|
0.89
|
1.08
|
NaN
|
Top vs. Marginal
|
-0.16
|
0.13
|
-0.29
|
-0.03
|
0.016
|
|
|
|
|
|
|
Contrasts – Top Leagues vs Emerging Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Top
|
0.83
|
0.09
|
0.74
|
0.91
|
NaN
|
Emerging
|
1.02
|
0.12
|
0.90
|
1.13
|
NaN
|
Top vs. Emerging
|
-0.19
|
0.15
|
-0.34
|
-0.04
|
0.012
|
|
|
|
|
|
|
Contrasts – Emerging Leagues vs Marginal Leagues
|
|
95 % CI
|
|
|
M
|
95 % MoE
|
Lower
|
Upper
|
p
|
Emerging
|
1.02
|
0.12
|
0.90
|
1.13
|
NaN
|
Marginal
|
0.99
|
0.10
|
0.89
|
1.09
|
NaN
|
Emerging vs. Marginal
|
0.03
|
0.15
|
-0.13
|
0.18
|
0.720
|
Note: M – Media of these events per game; S - standard deviation; N – Total number of events; 95% CI - confidence intervals (95%); MoE – Margin of Error; p – p value; NaN – Not a numberFigure 5 - Estimate Ind. Groups Contrasts – NT expected Goals and CI results