# dixon.test

##### Dixon tests for outlier

Performs several variants of Dixon test for detecting outlier in data sample.

- Keywords
- htest

##### Usage

`dixon.test(x, type = 0, opposite = FALSE, two.sided = TRUE)`

##### Arguments

- x
- a numeric vector for data values.
- opposite
- a logical indicating whether you want to check not the value with largest difference from the mean, but opposite (lowest, if most suspicious is highest etc.)
- type
- an integer specyfying the variant of test to be performed. Possible values are
compliant with these given by Dixon (1950): 10, 11, 12, 20, 21. If this value is set to zero,
a variant of the test is chosen according to sample size (10 for 3-7, 11 for 8-10, 21 for 11-13,
22 for 14 and more). The lowest or highest value is selected automatically, and can be reversed
used
`opposite`

parameter. - two.sided
- treat test as two-sided (default).

##### Details

The p-value is calculating by interpolation using `qdixon`

and `qtable`

.
According to Dixon (1951) conclusions, the critical values can be obtained numerically only for n=3.
Other critical values are obtained by simulations, taken from original Dixon's paper, and
regarding corrections given by Rorabacher (1991).

##### Value

- A list with class
- statistic
- the value of Dixon Q-statistic.
- p.value
- the p-value for the test.
- alternative
- a character string describing the alternative hypothesis.
- method
- a character string indicating what type of test was performed.
- data.name
- name of the data argument.

`htest`

containing the following components:##### References

Dixon, W.J. (1950). Analysis of extreme values. Ann. Math. Stat. 21, 4, 488-506.

Dixon, W.J. (1951). Ratios involving extreme values. Ann. Math. Stat. 22, 1, 68-78.

Rorabacher, D.B. (1991). Statistical Treatment for Rejection of Deviant Values: Critical Values of Dixon Q Parameter and Related Subrange Ratios at the 95 percent Confidence Level. Anal. Chem. 83, 2, 139-146.

##### See Also

##### Examples

```
set.seed(1234)
x = rnorm(10)
dixon.test(x)
dixon.test(x,opposite=TRUE)
dixon.test(x,type=10)
```

*Documentation reproduced from package outliers, version 0.14, License: GPL (>= 2)*