Statistics Tip of the Week: Beta is the Probability of a Beta Error, but Alpha is not the Probability of an Alpha Error
One of the things which make statistics confusing is the confusing language. For example, there is the triple negative of "Fail to Reject the Null Hypothesis". Then there are several instances where a single concept has multiple names.
And this Tip of the Week is about what one might call an "asymmetry" in names for statistical concepts.
So, what is Alpha? First of all, the person performing the a statistical test selects the value of Alpha. Alpha is (called the "Significance Level"). It is 1 minus the Confidence Level.
Andrew A. (Andy) Jawlik is the author of the book, Statistics from A to Z -- Confusing Concepts Clarified, published by Wiley.