wm18:rankings

Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

Link zu dieser Vergleichsansicht

Beide Seiten der vorigen Revision Vorhergehende Überarbeitung
Nächste Überarbeitung
Vorhergehende Überarbeitung
Letzte ÜberarbeitungBeide Seiten der Revision
wm18:rankings [2018/07/05 17:42] adminwm18:rankings [2018/07/05 18:03] admin
Zeile 26: Zeile 26:
   Z(Y) := \frac{Y-E(Y)}{\sigma(Y)}.   Z(Y) := \frac{Y-E(Y)}{\sigma(Y)}.
 $$ $$
-So everything is expressed in //units// of $\sigma$ and centered around zero. The widest spread is given by **Goalimpact**, which means it mostly //distinguishes// between the teams. Furthermore, **TMW** is most unequal and narrowest distribution. The reason is the non-linearity of **TMW**. It is a kind of exponential behaviourand indeed taking the logarithm smoothes the distribution. +So everything is expressed in //units// of $\sigma$ and centered around zero. The widest spread is given by **Goalimpact**, which means it mostly //distinguishes// between the teams. Furthermore, **TMW** is the most unequal and narrowest distribution. The reason is the non-linearity of **TMW**. It is a kind of exponential behaviour and indeedtaking the logarithm smoothes the distribution. 
  
-Altogether, one would expect that **Goalimpact** is the most meaningful //soccer-ranking//, followed by **SPI**. +Altogether, one would expect that **Goalimpact** is the most meaningful //soccer-ranking//, followed by **SPI**. But due to the more widespread **ELO** rating, we use for the comparison against other rankings **ELO** instead of **SPI**.   
        
 <newcolumn> <newcolumn>
  • Zuletzt geändert: 2018/07/05 19:16
  • von admin