R: Anderson-Darling Test of Goodness-of-Fit

AndersonDarlingTest {DescTools} | R Documentation

## Anderson-Darling Test of Goodness-of-Fit

### Description

Performs the Anderson-Darling test of goodness-of-fit to a specified continuous univariate probability distribution.

### Usage

    AndersonDarlingTest(x, null = "punif", ..., nullname)

### Arguments

`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. The default is `"uniform distribution"`.

### Details

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.

### Value

An object of class `"htest"` representing the result of the hypothesis test.

### Author(s)

Original C code by George Marsaglia and John Marsaglia. R interface by Adrian Baddeley.

### References

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. http://www.jstatsoft.org/v09/i02

### See Also

`shapiro.test` and all other tests for normality.

### Examples

    x <- rnorm(10, mean=2, sd=1)
    AndersonDarlingTest(x, "pnorm", mean=2, sd=1)

[Package DescTools version 0.99.24 Index]