### Ranking comparison of #WorldCup2018

Here we compare four popular rankings for the teams of #WorldCup 2018. All rankings are collected right before start of the tournament: - Goalimpact (GI)
- Transfermarkt.de (TMW)
- FIFA World-Ranking (FIFA)
- Football Elo Rating (ELO)
- Soccer Power Index (SPI)
The first two rankings are based on an individual
Naturally all ratings are more or less correlated. The
The highest correlation is given between |

## Z-score comparison
Another way to compare completely different scales of ratings is given by Z-score-normalization. This is a normalization in terms of expectation value $E(Y)$ and standard deviation $\sigma(Y)$, defined as:
$$
Z(Y) := \frac{Y-E(Y)}{\sigma(Y)}.
$$
So everything is expressed in
Altogether, one would expect that |

### Correlations of rankings

Let us compare correlations between rankings in more detail and start with the highest correlation between
Next let us compare the more interesting rankings and compare
The correlation of |

### Comparison with country key figures

We only compare the ## Population
Let us start the comparison with the population and use the male population aged between 16-35 years, the typical age of players. There is no direct correlation or pattern visible. For example ## Global domestic product
The graphics below show the |

## Comparison to other sports
In many country's soccer is the most popular sport and dominates all other sports. Eventually, let us just for fun compare the world ranking of soccer - measured in |