# ad.test

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

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

- Keywords
- htest

##### Usage

`ad.test(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.

##### 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.

##### See Also

`pAD`

for the null distribution of the test statistic.

##### Examples

```
x <- rnorm(10, mean=2, sd=1)
ad.test(x, "pnorm", mean=2, sd=1)
```

*Documentation reproduced from package goftest, version 1.0-1, License: GPL (>= 2)*