Ironically, John Terry of Chelsea, who in the eyes of many is responsible for the Champions League Finals loss, could not have helped change the outcome.
Chelsea's John Terry is said to still be haunted by missed penalty kick at the Champions League Finals. Sports bettors too have lost some sleep following the missed opportunity. But was it ever a sure shot?
Penalty Kicks
Eleven meters and the goalkeeper only stand between the
kicker and the goal. In the half second that the ball travels the distance, there
are other elements too, such as guessing by the goalkeeper, and endless
calculations by the kicker.
Another crucial element is statistics.
The simple setting of penalty kicks has drawn considerable academic interest over the years. This is clearly the case for sports bettors. Two players and two possible outcomes. Now let's do the math.
Statistics
Game theory is a major economics field. Do the player and
goalkeeper mix their options in the best possible way?
Perhaps there is no difference after all. Analysis of penalty kicks by Pierre-André Chiappori of Columbia University, Steven Levitt of the University of Chicago and Timothy Groseclose of UCLA, came up with the following numbers:
For goalkeepers too the numbers are all within the margin of error:
In other words, statistical research could not reject the hypothesis, namely that the chances of scoring are the same no matter what.
Is this consolation to John Terry and the millions of Chelsea fans around the UK and the world? Perhaps not. Call it a slip.
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