Saturday, December 7, 2013

World Cup After Finals Draw

My apologies. I did not predict that FIFA would change the rules and not put France in a special pot as Serbia and Montenegro was 2006. I did not take into account that someone would France would be that influential.

For which countries was the draw good or bad? By simulating the World Cup first simulating the draw as well, and then using the actual draw, we can infer if the draw did change the chances for any countries.

The draw was good for:

CountryPrePostRatio
South Korea19.032.51.7
Algeria9.714.41.5
Russia51.974.11.4
Mexico10.641.11.3

and the draw was not as good for

CountryPrePostRatio
Australia24.08.310.34
Ghana26.815.60.58
Chile55.934.50.62
Costa Rica27.317.30.63

We can then look at each group. If we sum up the teams' chances to pass on to the knock-out stage, it's obviously 200% for the Post probabilities. If we instead calculate the sum of the pre-probabilities, it gives us an idea of how difficult the group is. If, for example, four teams that had 99% probability to survive group stage before the draw are drawn together in one group, the sum will be 396%, well above the 200% you'd expect on an average draw.

Doing this we'll see that the toughest group is Group B with a sum of 254%. Group B contains both finalists from last World Cup, Spain and Netherlands, plus Chile a strong contender from South America. The next toughest group is then Group D with sum 241%, which contains England, Uruguay, Italy, Costa Rica.



Group A

2nd RndChangeChampChange
Brazil96.82.421.8-1.8
Croatia51.96.60.34-0.02
Mexico41.110.60.170.03
Cameroon10.20.20.0020-0.0010

Pre-probability Sum: 180%

Group B

2nd RndChangeChampChange
Spain87.8-5.922.4-0.7
Netherlands69.4-11.46.67-1.03
Chile34.5-21.40.98-0.51
Australia8.31-15.690.024-0.036

Pre-probability Sum: 254%


Group C

2nd RndChangeChampChange
Colombia72.6-0.81.98-0.33
Greece49.40.30.43-0.07
Ivory Coast48.57.60.410.01
Japan29.62.30.085-0.015

Pre-probability Sum: 191%

Group D

2nd RndChangeChampChange
England68.3-5.03.77-0.28
Uruguay58.3-16.32.09-0.52
Italy56.1-9.51.83-0.31
Costa Rica17.3-10.00.066-0.034

Pre-probability Sum: 241%

Group E

2nd RndChangeChampChange
France66.56.71.610.29
Switzerland60.1-0.91.070.12
Ecuador54.79.70.770.20
Honduras18.6-0.10.0270.007

Pre-probability Sum: 185%

Group F

2nd RndChangeChampChange
Argentina91.65.010.11.7
B&H47.85.80.340.09
Nigeria32.36.90.100.03
Iran28.46.20.0660.026

 Pre-probability Sum: 176%

Group G

2nd RndChangeChampChange
Germany88.1-2.617.42.2
Portugal50.1-12.01.660.08
United States46.2-4.81.360.23
Ghana15.6-11.20.076-0.004

Pre-probability Sum: 231%

Group H

2nd RndChangeChampChange
Belgium78.916.71.360.32
Russia74.122.20.940.27
South Korea32.513.50.0430.019
Algeria14.44.70.00470.0017

Pre-probability Sum: 143%