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Explanation/Example

Here is an example using Sidney Crosby and Eric Lindros through six years:

Get the adjusted Point Shares values for the first six years of each player's career and order them from greatest to least.
SC 14.7 13.3 11.1 10.5 10.1 9.0
EL 15.0 12.8 10.0 10.0 9.2 7.6
Compute a career value for each player by multiplying his best season by 1, his second-best season by 0.95, his third-best season by 0.9, etc.
SC = 61.08
EL = 57.72
If either player has a career value less than zero then we stop here. Otherwise…
Calculate the absolute difference in the adusted Point Shares values.
SC 14.7 13.3 11.1 10.5 10.1 9.0
EL 15.0 12.8 10.0 10.0 9.2 7.6
-----------------------------
0.3 0.5 1.1 0.5 0.9 1.4
Calculate the penalty by multiplying the first penalty by 1, the second penalty by 0.95, the third penalty by 0.9, etc.
P = 3.96
Compute the similarity score as follows:
100 * (1 - (2 * 3.96 / (61.08 + 57.72))) = 93.3
Through six years, the similarity between Crosby and Lindro is 93.3 (with 100 being a perfect match). The career similarity score between these two players is actually much lower, as we use the same method but fill in all 13 years of Lindros' career and fill out the rest of Crosby's years with zeros.

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