Anderson-Darling Test of Goodness-of-Fit
Performs the Anderson-Darling test of goodness-of-fit to a specified continuous univariate probability distribution.
AndersonDarlingTest(x, null = "punif", ..., nullname)
x |
numeric vector of data values. |
null |
a function, or a character string giving the name of a function, to compute the cumulative distribution function for the null distribution. |
... |
additional arguments for the cumulative distribution function. |
nullname |
optional character string describing the null distribution. |
This command performs the Anderson-Darling test
of goodness-of-fit to the distribution specified by the argument
null. It is assumed that the values in x are
independent and identically distributed random values, with some
cumulative distribution function F.
The null hypothesis is that F is the function
specified by the argument null, while the alternative
hypothesis is that F is some other function.
An object of class "htest" representing the result of
the hypothesis test.
Original C code by George Marsaglia and John Marsaglia. R interface by Adrian Baddeley.
Anderson, T.W. and Darling, D.A. (1952) Asymptotic theory of certain 'goodness-of-fit' criteria based on stochastic processes. Annals of Mathematical Statistics 23, 193–212.
Anderson, T.W. and Darling, D.A. (1954) A test of goodness of fit. Journal of the American Statistical Association 49, 765–769.
Marsaglia, G. and Marsaglia, J. (2004) Evaluating the Anderson-Darling Distribution. Journal of Statistical Software 9 (2), 1–5. February 2004. https://www.jstatsoft.org/v09/i02
shapiro.test and all other tests for normality.
x <- rnorm(10, mean=2, sd=1) AndersonDarlingTest(x, "pnorm", mean=2, sd=1)
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