Legitimately would have aced Statistics classes had they taught me about Standard Deviations, Variances and Z-Scores using Sabremetrics stats like WAR and WARP. So the difference between Mike Trout and Miguel Cabrera in 2012 was 12.5 runs. The combined standard error for the two of them (remember, variances add) is 9.7. How confident are we that Trout was a better hitter (relative to average) than Cabrera in 2012? Divide the difference by the standard error and you get 1.3—that’s what’s known as a z-score. Look up a z-score of 1.3 in a z-chart, and you get .9032—in other words, roughly 90 percent. See, I get that. Kyle Tsukiji, Rachelle Alexa
Posted on: Thu, 05 Sep 2013 19:49:18 +0000
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