Anderson-Darling All-Pairs Comparison Test
Performs Anderson-Darling all-pairs comparison test.
adAllPairsTest(x, ...) ## Default S3 method: adAllPairsTest(x, g, p.adjust.method = p.adjust.methods, ...) ## S3 method for class 'formula' adAllPairsTest( formula, data, subset, na.action, p.adjust.method = p.adjust.methods, ... )
x |
a numeric vector of data values, or a list of numeric data vectors. |
... |
further arguments to be passed to or from methods. |
g |
a vector or factor object giving the group for the
corresponding elements of |
p.adjust.method |
method for adjusting p values (see |
formula |
a formula of the form |
data |
an optional matrix or data frame (or similar: see
|
subset |
an optional vector specifying a subset of observations to be used. |
na.action |
a function which indicates what should happen when
the data contain |
For all-pairs comparisons in an one-factorial layout with non-normally distributed residuals Anderson-Darling's all-pairs comparison test can be used. A total of m = k(k-1)/2 hypotheses can be tested. The null hypothesis H_{ij}: F_i(x) = F_j(x) is tested in the two-tailed test against the alternative A_{ij}: F_i(x) \ne F_j(x), ~~ i \ne j.
This function is a wrapper function that sequentially
calls adKSampleTest for each pair.
The calculated p-values for Pr(>|T2N|)
can be adjusted to account for Type I error multiplicity
using any method as implemented in p.adjust.
A list with class "PMCMR" containing the following components:
a character string indicating what type of test was performed.
a character string giving the name(s) of the data.
lower-triangle matrix of the estimated quantiles of the pairwise test statistics.
lower-triangle matrix of the p-values for the pairwise tests.
a character string describing the alternative hypothesis.
a character string describing the method for p-value adjustment.
a data frame of the input data.
a string that denotes the test distribution.
Scholz, F.W., Stephens, M.A. (1987) K-Sample Anderson-Darling Tests. Journal of the American Statistical Association 82, 918–924.
adKSampleTest(count ~ spray, InsectSprays) out <- adAllPairsTest(count ~ spray, InsectSprays, p.adjust="holm") summary(out) summaryGroup(out)
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.