Each team has a squad of 30 players but each game they only play 11 players.

Erin Larsen

Erin Larsen

Open question

2022-08-22

There are 20 teams in a league.
Each team has a squad of 30 players but each game they only play 11 players.
I am after a measure/ ranking of which teams play a more consistent lineup of 11 together (with the hypothesis that when players play together more, they are more cohesive).
Eg an older team that has played multiple seasons together with the same lineup.
I could sum the games played individually but not sure if there is a more “correct” way of doing this.

Answer & Explanation

Mohammad Orr

Mohammad Orr

Beginner2022-08-23Added 8 answers

Step 1
For player i, calculate the number of games they have played to be n i .Depending on substitutes, injuries, and other factors, this might not be an integer.
Rank the n i for a given team and then calculate C ( k ) to be how many of the n i you need to add up in order to sum to at least k N , where N is how many games the team has played, and k represents a parameter.
If you choose k = 11 you'll get the total number of players who have been used in the season. Choosing, say, k = 9 will give you a lower number.
The worth of the team decreases as team cohesion increases C ( k ). K may be used experimentally to see what was most beneficial.

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