outliers: qdixon – R documentation

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outliers

qdixon

critical values and p-values for Dixon tests

Description

Approximated quantiles (critical values) and distribution function (giving p-values) for Dixon tests for outliers.

Usage

qdixon(p, n, type = 10, rev = FALSE)
pdixon(q, n, type = 10)

Arguments

`p`	vector of probabilities.
`q`	vector of quantiles.
`n`	length of sample.
`type`	integer value: 10, 11, 12, 20, or 21. For description see `dixon.test`.
`rev`	function `qdixon` with this parameter set to TRUE acts as `pdixon`.

Details

This function is based on tabularized Dixon distribution, given by Dixon (1950) and corrected by Rorabacher (1991). Continuity is reached due to smart interpolation using qtable function. By now, numerical procedure to obtain these values for n>3 is not known.

Value

Critical value or p-value (vector).

Author(s)

Lukasz Komsta

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.