Anderson and Darling test for normal, exponential, or Gumbel (Extreme Value Type I) distribution.
Given samples x, return A2, the Anderson-Darling statistic, the significance levels in percentages, and the corresponding critical values.
Critical values provided are for the following significance levels norm/expon: 15%, 10%, 5%, 2.5%, 1% Gumbel: 25%, 10%, 5%, 2.5%, 1% logistic: 25%, 10%, 5%, 2.5%, 1%, 0.5%
If A2 is larger than these critical values then for that significance level, the hypothesis that the data come from a normal (exponential) can be rejected.