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Math Help - How strong a player am I?

  1. #1
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    How strong a player am I?

    I have a game my friends and I like to play (Farkle - Wikipedia, the free encyclopedia). We keep score on a spreadsheet that's able to record game history after each game. We've played for awhile now and have amassed a nice little bit of game data.

    What I'd like to do is come up with some means of determining how "strong" a player is. For instance, if 4 people are playing, it can be said that any person has a 1 in 4 chance of winning. If I always play in 4 person games and I end up winning half the time, then this is statistically significant and I can be thought of as a "strong" player. In other words, my strategy is helping me win more often than simple chance would.

    Our games, however, have a variable number of players. For each game, I know who played, whether they won or not, and how many other players they played against. How can I determine the "strength" of the players with this data?

    I apologize in advance if there is some really simply/obvious statistical model for this and I just don't know what it is!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by robertlankford View Post
    I have a game my friends and I like to play (Farkle - Wikipedia, the free encyclopedia). We keep score on a spreadsheet that's able to record game history after each game. We've played for awhile now and have amassed a nice little bit of game data.

    What I'd like to do is come up with some means of determining how "strong" a player is. For instance, if 4 people are playing, it can be said that any person has a 1 in 4 chance of winning. If I always play in 4 person games and I end up winning half the time, then this is statistically significant and I can be thought of as a "strong" player. In other words, my strategy is helping me win more often than simple chance would.

    Our games, however, have a variable number of players. For each game, I know who played, whether they won or not, and how many other players they played against. How can I determine the "strength" of the players with this data?

    I apologize in advance if there is some really simply/obvious statistical model for this and I just don't know what it is!
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    CB
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