## What is an Error Probability?

Aliases: *error rate*

In statistics, an error probability is the frequency with which a certain probabilistic testing procedure will lead to a type I error or a type II error. In other words, it is the rate of occurrence of an error in a hypothetical infinite repetition of the procedure. In frequentist hypothesis testing the **worst case error rates** are controlled by the selected levels of alpha and beta.

Using procedures with known error probabilities gives one the ability to employ modus tollens or the argument from coincidence when arguing against a hypothesis. Error probabilities are cornerstone in the error statistics approach to causal inference.