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THE BOOK--Playing The Percentages In Baseball

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Tuesday, August 03, 2010

Odds Ratio Method: track runners and baseball

By Tangotiger, 01:59 PM

Let’s say you have a runner that runs the 100m, and we observe his running time as 10.0 seconds, with one SD = 0.2 seconds.  Let’s call this runner Aurora.  And we have a second runner who averaged 10.1 seconds, witth one SD = 0.2 seconds.  This runner is called Bolt.

How often will Aurora beat Bolt?  Running a simulator 10,000 times, I get .640.  I’m sure there’s a nice probability calculator that will give us the same result (if so, please share).

Let’s say we have a third runner, called Canuck, and he runs in 10.2 +/- 0.2.  Bolt will beat him .640 times.

What are our expectations of Aurora beating Canuck?  Well, the Odds Ratio suggests the following:

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August 03, 2010
Odds Ratio Method: track runners and baseball