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:
[q]=dixoninv(p, n, type, rev)
Arguments:
p: vector of probabilities.
n: length of sample.
type: integer value: 10, 11, 12, 20, or 21. For description see
'dixontest'.
rev: function 'dixoninv' with this parameter set to TRUE acts as
'dixoncdf' to omit the repetition of code. 'dixoncdf' is the wrapper.
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, ported from R package "outliers".
See R News, 6(2):10-13, May 2006
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.
