statistik:st_korr_zu_endstand

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statistik:st_korr_zu_endstand [2018/09/08 18:05] – adminstatistik:st_korr_zu_endstand [2018/10/10 08:22] (aktuell) – admin
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 First of all, this article is not a scientific analysis, it is more a collection of some selected results of recent years in the **Premier League** and the **1.Bundesliga**. This alone is already a subjective selection, and furthermore, I will restrict the data to the years **2000-2017**, which is as well a kind of arbitrariness. Secondly, I will not justify each statement individually on a statistically sound basis, but at least I will give some evidence for the claims I state. We start with a small introduction to basic terminology.  First of all, this article is not a scientific analysis, it is more a collection of some selected results of recent years in the **Premier League** and the **1.Bundesliga**. This alone is already a subjective selection, and furthermore, I will restrict the data to the years **2000-2017**, which is as well a kind of arbitrariness. Secondly, I will not justify each statement individually on a statistically sound basis, but at least I will give some evidence for the claims I state. We start with a small introduction to basic terminology. 
  
-==== The basics data ==== +==== The basic data ==== 
-In particular we compare the team ranking of a league during the season match days to the final ranking. Assume we have a league with $M$ teams, and let us denote the ranking of team $m\in\{1,2,...,M\}$ on match day $n\in\{1,2,...,2(M-1)\}$ by $\mathsf{rg}_n(m)\in\{1,2,...,M\}$ to the final ranking $\mathsf{rg}_{e}(m)\equiv\mathsf{rg}_{2(M-1)}(m)$ of team $m$ at the end of the season on match day  $e=2(M-1)$. +In particular we compare the team ranking of a league during the season match days to the final ranking. Assume we have a league with $M$ teams, and let us denote the ranking of team $m\in\{1,2,...,M\}$ on match day $n\in\{1,2,...,2(M-1)\}$ by $\mathsf{rg}_n(m)\in\{1,2,...,M\}$ and the final ranking $\mathsf{rg}_{e}(m)\equiv\mathsf{rg}_{2(M-1)}(m)$ of team $m$ at the end of the season on match day  $e=2(M-1)$. 
  
 === Rank Correlation === === Rank Correlation ===
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 So what is the answer of the introductory question? I will made it as short as possible. There is a statistically high correlation of the league ranking after match day 4-7 to the final ranking, but individuell deviations for single clubs can largely deviate, despite that the //probability// for such a deviation is rather small.    So what is the answer of the introductory question? I will made it as short as possible. There is a statistically high correlation of the league ranking after match day 4-7 to the final ranking, but individuell deviations for single clubs can largely deviate, despite that the //probability// for such a deviation is rather small.   
  
 +~~DISCUSSION~~
  
 {{tag>statistik pl bundesliga bmg}} {{tag>statistik pl bundesliga bmg}}
  • Zuletzt geändert: 2018/10/10 08:22
  • von admin