Opposites Repel
While hiking I "saw" an analogy between statistics and morality. All (and more) of what follows occurred to me in a moment, and it made me chuckle. God is truly amazing; the things of Life are remarkably simple in a way that is terribly complicated to explain. Both settings, hypothesis testing and moral behavior, contain evaluations that appear to involve opposites that are not strict opposites. Hypothesis testing looks at the quality of a decision, being concerned with whether a decision was correct or not. The two commonly discussed error types are these: Accepting as “good” what isn't Rejecting as “bad” what isn't Because good and bad are direct opposites (complements) these two error types appear to be opposites, but they are not. In fact, I can take actions to reduce my chances of making the first mistake which at the same time increase my chances of making the second. I can take actions that reduce chances of BOTH mistakes. So, while...