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NBA All-Star Game Prediction
Pouya Fatemi Alex Wu Zinnia Horne
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Why do we care? $3.57 Billion in Revenue in the ‘07-’08 season1
Games broadcasted in over 215 countries and territories 2 Fans in New York paid $74 million for tickets in the ’04-’05 season 2 1http:// 2
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Probem How can we most accurately predict the winner of the NBA All-Star Game? What is the probability distribution of the points scored by an NBA All-Star team?
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Variables Pw = total points scored by Western Conference = ∑ POSi
N = number of possessions per team per game POSi , discrete random variable with possible values [0,1,2,3,4] – This represents the possible number of points scored in each possession
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Model Formulation Most likely outcome (mode) after a possession is to score 0 points. The next likely outcome is scoring two points. The average number of points scored is , with a standard deviation of
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Normal Approximated Distribution for Pw
Mean = N * [E(POSi)] = 90 * = Standard Deviation = (√N) * STD of POSi = (√90) * = Assumption: N (# of possessions team obtains in a game = 90)
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Sensitivity Analyses Relationship between # of possessions (x-axis) and expected # of points scored (y-axis). Assumed value in our model was N = 90 Relationship between percentage of 2-pointers (x-axis) and expected # of points (y-axis).
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Possible Extensions Effect of momentum
Treat seconds spent each possession as a random variable bounded by 0 < seconds spent <24
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