Wednesday, August 11, 2010

Last step

Last step in finalizing our new statistic is merging offense and defense numbers in some meaningful way. Simplest way is to add PPG to D, adjusted with accuracy Ac. What we get is an aggregate number AG that represents individual player's input in team's defensive performance ( through saves and goals conceded ratio ), discipline and speed ( fouls committed ) mixed with offensive contribution ( goals and assists ), all calculated on per game basis.
Now, that was a mouthful... For a single player :






That composite number AG can be a standalone index. But it's not that intuitive and comparable, right?
Next step is to calculate D and AG numbers for the entire league, calculate their average or median, which ever works better ( median ), and finally calculate deviation for each player from that average/median and express the number as percentage.

I know I've lost you by now, but if you are still with me, I promise, no more math. What have we achieved with all this ?

Now we have both intuitive and comparable WYSIWYG stat. Something like OPS in baseball. In this case, the “sea level” is at 100, both for D% and ReV ( player's defense relative to league average and player's overall, both defensive and offensive value, relative to league average ).

 You can go scuba diving ( numbers can go below 100 for sub par achievements ) or you can go free climbing like the guy above. His defensive value was 48% better than league average last season and his overall value was three times higher then your average Placeholder Jones or Warm Body Smith. As simple as that.

Hidden benefit of this stat is that it is average of anything you want to put in the calculation. If you want to improve ReV by adding , for example passing stats, it can be done without disturbing the essence .Sea level would still be at 100 and all previous comparisons would still hold. Computations can be more precise, but the value ratio and validity of comparisons between players will remain the same.  
As soon as I finish beautification process, I'll post the spreadsheets for EPL.
And now, the grand finale!
ReV can be used for historic comparisons too. I've threw few hundred numbers into a cruncher to see how ReV relates to previous methods I've used for players evaluation ( Grade ).

Well, picture speaks a thousand words.


This is encouraging. Methods are interchangeable. This means that it's possible to compare players from different eras, with different sets of data used for their evaluation, with statistically significant level of correlation.

What remains now, is to enjoy the soccer by simply watching it.  


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