I finally got the time to work on importing the data to simulate the Fifa World Cup 2014 European Qualifying group stage.
The simulations are based on ELO ratings, and the number of home and away goals are assumed to be independent Random Poisson Variables with an expectancy of:
Goals for the Home team:
if Proba < 0.5:
Home Goals = 0.2 + 1.1*sqrt(Proba/0.5)
else:
Home Goals = 1.69 / (1.12*sqrt(2 -Proba/0.5)+0.18)
Goals for the Away team:
if Proba < 0.8:
Away goals = -0.96 + 1/(0.1+0.44*sqrt((Proba+ 0.1)/0.9))
where Proba is the probability of the home team by ELO ratings.
This formula made by Lars, the owner of http://clubelo.com/, and it makes the prediction very accurate according to his research.
The worst RU is most likely to come out of group 2, with 27.88%.
After 100K simulations (ordered by chances of winning the group):
The simulations are based on ELO ratings, and the number of home and away goals are assumed to be independent Random Poisson Variables with an expectancy of:
Goals for the Home team:
if Proba < 0.5:
Home Goals = 0.2 + 1.1*sqrt(Proba/0.5)
else:
Home Goals = 1.69 / (1.12*sqrt(2 -Proba/0.5)+0.18)
Goals for the Away team:
if Proba < 0.8:
Away goals = -0.96 + 1/(0.1+0.44*sqrt((Proba+
else:
Away goals = 0.72*sqrt((1 - Proba)/0.3)+0.3
Away goals = 0.72*sqrt((1 - Proba)/0.3)+0.3
where Proba is the probability of the home team by ELO ratings.
This formula made by Lars, the owner of http://clubelo.com/, and it makes the prediction very accurate according to his research.
The worst RU is most likely to come out of group 2, with 27.88%.
After 100K simulations (ordered by chances of winning the group):
Group | Team | ELO | Points | 1st | 2nd | 3rd | 4th | 5th | 6th | Worst RU |
4 | Netherlands | 1972 | 26.75 | 96.28% | 3.45% | 0.26% | 0.01% | 0.00% | 0.00% | 0.00% |
6 | Russia | 1867 | 25.64 | 88.86% | 10.92% | 0.22% | 0.00% | 0.00% | 0.00% | 0.01% |
2 | Italy | 1899 | 22.75 | 85.62% | 11.11% | 2.63% | 0.62% | 0.02% | 0.00% | 1.53% |
5 | Switzerland | 1793 | 22.81 | 82.18% | 16.68% | 1.02% | 0.11% | 0.01% | 0.00% | 0.56% |
9 | Spain | 2123 | 19.87 | 82.08% | 17.88% | 0.04% | 0.00% | 0.00% | 0.00% | 0.03% |
3 | Germany | 2025 | 25.05 | 81.94% | 17.21% | 0.84% | 0.01% | 0.00% | 0.00% | 0.02% |
8 | England | 1938 | 22.19 | 77.68% | 16.27% | 5.10% | 0.95% | 0.01% | 0.00% | 2.23% |
7 | Greece | 1788 | 23.46 | 65.14% | 32.88% | 1.88% | 0.10% | 0.00% | 0.00% | 0.52% |
1 | Croatia | 1853 | 21.70 | 55.73% | 41.43% | 2.43% | 0.38% | 0.04% | 0.00% | 2.90% |
1 | Belgium | 1768 | 20.78 | 43.65% | 53.03% | 2.86% | 0.40% | 0.06% | 0.01% | 3.26% |
7 | Bosnia and Herzegovina | 1711 | 21.14 | 33.68% | 56.93% | 8.41% | 0.95% | 0.04% | 0.00% | 3.39% |
9 | France | 1848 | 16.96 | 17.90% | 80.66% | 1.35% | 0.08% | 0.01% | 0.00% | 1.67% |
5 | Norway | 1712 | 18.86 | 17.08% | 69.84% | 9.83% | 2.51% | 0.67% | 0.09% | 8.66% |
3 | Sweden | 1866 | 21.53 | 16.80% | 65.87% | 15.67% | 1.65% | 0.01% | 0.00% | 2.78% |
8 | Montenegro | 1638 | 17.91 | 12.24% | 34.84% | 35.05% | 16.31% | 1.55% | 0.00% | 6.86% |
6 | Portugal | 1884 | 20.67 | 10.87% | 79.96% | 8.70% | 0.46% | 0.02% | 0.00% | 5.34% |
2 | Czech Republic | 1741 | 16.45 | 8.08% | 35.16% | 28.97% | 21.89% | 5.88% | 0.02% | 8.89% |
8 | Poland | 1681 | 17.60 | 8.07% | 35.06% | 33.51% | 21.82% | 1.54% | 0.00% | 6.30% |
2 | Denmark | 1745 | 15.76 | 4.23% | 31.46% | 31.93% | 25.04% | 7.27% | 0.06% | 9.47% |
4 | Romania | 1717 | 19.30 | 2.36% | 53.20% | 35.18% | 9.08% | 0.18% | 0.00% | 6.02% |
2 | Bulgaria | 1641 | 15.03 | 2.02% | 20.48% | 31.19% | 38.12% | 8.13% | 0.06% | 7.06% |
8 | Ukraine | 1673 | 15.00 | 2.01% | 13.62% | 25.07% | 52.95% | 6.36% | 0.00% | 1.50% |
4 | Hungary | 1680 | 18.21 | 1.34% | 39.47% | 46.82% | 12.11% | 0.26% | 0.00% | 7.73% |
3 | Republic of Ireland | 1711 | 17.24 | 1.23% | 15.29% | 67.40% | 16.00% | 0.08% | 0.00% | 2.84% |
7 | Slovakia | 1581 | 15.12 | 1.12% | 8.73% | 60.02% | 23.46% | 6.65% | 0.04% | 0.80% |
1 | Serbia | 1635 | 11.42 | 0.43% | 2.99% | 40.16% | 27.87% | 18.23% | 10.32% | 0.44% |
5 | Iceland | 1452 | 12.35 | 0.27% | 4.72% | 33.44% | 29.53% | 22.95% | 9.09% | 0.62% |
6 | Israel | 1608 | 14.87 | 0.27% | 8.46% | 73.69% | 15.03% | 2.53% | 0.02% | 1.85% |
5 | Slovenia | 1582 | 11.81 | 0.26% | 4.53% | 31.33% | 28.24% | 23.94% | 11.69% | 1.56% |
5 | Albania | 1470 | 11.33 | 0.20% | 3.97% | 20.51% | 29.44% | 30.59% | 15.30% | 0.96% |
1 | Macedonia | 1503 | 10.03 | 0.08% | 1.12% | 21.13% | 26.56% | 26.28% | 24.84% | 0.22% |
1 | Scotland | 1626 | 9.19 | 0.07% | 0.74% | 15.83% | 22.32% | 28.58% | 32.45% | 0.04% |
1 | Wales | 1551 | 9.74 | 0.05% | 0.70% | 17.59% | 22.47% | 26.82% | 32.37% | 0.28% |
2 | Armenia | 1496 | 10.11 | 0.05% | 1.80% | 5.27% | 14.24% | 76.70% | 1.94% | 0.93% |
7 | Lithuania | 1450 | 11.57 | 0.04% | 0.90% | 16.36% | 40.93% | 41.11% | 0.66% | 0.27% |
7 | Latvia | 1487 | 10.82 | 0.03% | 0.58% | 13.33% | 34.44% | 50.39% | 1.24% | 0.25% |
3 | Austria | 1588 | 12.49 | 0.03% | 1.63% | 16.07% | 79.85% | 2.32% | 0.10% | 0.15% |
4 | Turkey | 1676 | 13.72 | 0.02% | 3.86% | 17.36% | 71.73% | 7.03% | 0.01% | 1.44% |
5 | Cyprus | 1409 | 8.02 | 0.02% | 0.26% | 3.87% | 10.18% | 21.84% | 63.83% | 0.05% |
9 | Finland | 1590 | 6.15 | 0.01% | 0.38% | 32.16% | 35.58% | 31.87% | 0.00% | 0.08% |
9 | Belarus | 1551 | 7.75 | 0.01% | 0.89% | 51.61% | 30.41% | 17.09% | 0.00% | 0.24% |
6 | Northern Ireland | 1420 | 9.69 | 0.01% | 0.47% | 11.24% | 44.33% | 38.84% | 5.12% | 0.04% |
8 | Moldova | 1382 | 9.68 | 0.00% | 0.21% | 1.28% | 7.97% | 90.48% | 0.06% | 0.10% |
6 | Azerbaijan | 1378 | 9.06 | 0.00% | 0.19% | 6.13% | 38.61% | 47.68% | 7.38% | 0.08% |
8 | San Marino | 860 | 0.65 | 0.00% | 0.00% | 0.00% | 0.00% | 0.06% | 99.94% | 0.00% |
9 | Georgia | 1477 | 4.99 | 0.00% | 0.19% | 14.85% | 33.93% | 51.03% | 0.00% | 0.04% |
7 | Liechtenstein | 1167 | 2.31 | 0.00% | 0.00% | 0.01% | 0.12% | 1.81% | 98.07% | 0.00% |
4 | Estonia | 1465 | 8.48 | 0.00% | 0.02% | 0.39% | 7.07% | 92.22% | 0.30% | 0.01% |
6 | Luxembourg | 1121 | 3.64 | 0.00% | 0.00% | 0.01% | 1.57% | 10.94% | 87.48% | 0.00% |
3 | Faroe Islands | 1191 | 3.33 | 0.00% | 0.00% | 0.01% | 1.22% | 28.00% | 70.77% | 0.00% |
4 | Andorra | 973 | 0.79 | 0.00% | 0.00% | 0.00% | 0.00% | 0.31% | 99.69% | 0.00% |
2 | Malta | 1202 | 2.21 | 0.00% | 0.00% | 0.01% | 0.08% | 2.00% | 97.92% | 0.00% |
3 | Kazakhstan | 1312 | 5.22 | 0.00% | 0.00% | 0.01% | 1.27% | 69.59% | 29.13% | 0.00% |
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