Anderson_Darling_test: Anderson-Darling Normality Test

In normality: Tests for Departure from Normality

Anderson-Darling Normality Test

Description

Performs the Anderson–Darling (A²) normality test, an EDF-based goodness-of-fit test that gives greater weight to deviations in the tails of the distribution.

Usage

Anderson_Darling_test(
  x,
  alpha = 0.05,
  silent = FALSE,
  summary = TRUE,
  misc = FALSE
)

Arguments

x	A numeric vector, at least length of 8.
alpha	Numeric (default: 0.05). Significance threshold, range from 0 to 1.
silent	Logical (default: FALSE). If FALSE, print out the results.
summary	Logical (default: TRUE). Produce a summary table.
misc	Logical (default: FALSE). Output other unimportant parameters.

Value

A list.

References

D’Agostino, R.B., 2017. Tests for the Normal Distribution. In: D'Agostino, R.B., Stephens, M.A. (Eds.), Goodness-of-Fit Techniques, 1st ed. Routledge, New York, pg. 372–373. https://doi.org/10.1201/9780203753064

Stephens, M.A., 2017. Tests Based on EDF Statistics. In: D'Agostino, R.B., Stephens, M.A. (Eds.), Goodness-of-Fit Techniques, 1st ed. Routledge, New York, (Table 4.8 & 4.9) pg. 126–128. https://doi.org/10.1201/9780203753064

Anderson, T.W., Darling, D.A., 1954. A Test of Goodness of Fit. J. Am. Stat. Assoc. 49, 765–769. https://doi.org/10.1080/01621459.1954.10501232

Examples

out <- Anderson_Darling_test(rnorm(10))
print(out$summary)

normality documentation built on Aug. 23, 2026, 1:07 a.m.