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Thread: how to scale players in sport?

  1. #1
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    how to scale players in sport?

    hi,

    I'm trying to find information on how to scale player's performance in team sports.
    Let say our sport is based on points scored.

    Player A Scored 20 points
    B= 30
    C= 5
    D= 15
    E= 17

    Could we group them together and set decimal scale with 1.0 representing average performance so anything above 1.0 would mean "above average performance"?
    Can somebody suggest where I could read more about this?
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  2. #2
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    Re: how to scale players in sport?

    Assuming the scores are normally distributed (ie fit a bell shaped curve) then you could use z-scores. Google z-scores to get more insight.

    A z-score represents the number of standard deviations a score is above or below the mean. A z-score of 0 would represent the average score. A positive value means above average performance, a negative value would mean below average performance.

    For your data
    mean (average) = 17.4
    standard deviation = 8.0 (approx). (Easily found on Excel or scientific calculator)

    The corresponding z-scores are
    A = (20-17.4)/8 = 0.325
    B = (30-17.4)/8 = 1.575
    C = (5-17.4)/8 = -1.55
    D = (15-17.4)/8 = -0.3
    E = (17-17.4)/8 = -0.05 (all the z-scores will add to 0)
    Thanks from topsquark
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  3. #3
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    Re: how to scale players in sport?

    thanks
    but in video games for example very often rating 1.0 is the average not 0.0

    So I'm guessing that they feed various statistics and calculate average based on performance but I can't find any information in google
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  4. #4
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    Re: how to scale players in sport?

    You can scale the values to have an average of 1, by simply adding 1 to the z-scores. This will give you some negative scores though. What is the range of scores you are hoping to achieve? Eg, 0 to 2 ? I'd need to know what the lower and upper limit is.
    Thanks from topsquark
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