Performs Baumgartner-Weiß-Schindler all-pairs comparison test.
bwsAllPairsTest(x, ...)# S3 method for default
bwsAllPairsTest(
x,
g,
method = c("BWS", "Murakami"),
p.adjust.method = p.adjust.methods,
...
)
# S3 method for formula
bwsAllPairsTest(
formula,
data,
subset,
na.action,
method = c("BWS", "Murakami"),
p.adjust.method = p.adjust.methods,
...
)
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.
a numeric vector of data values, or a list of numeric data vectors.
further arguments to be passed to or from methods.
a vector or factor object giving the group for the
corresponding elements of "x".
Ignored with a warning if "x" is a list.
a character string specifying the test statistic to use. Defaults to BWS.
method for adjusting p values (see p.adjust).
a formula of the form response ~ group where
response gives the data values and group a vector or
factor of the corresponding groups.
an optional matrix or data frame (or similar: see
model.frame) containing the variables in the
formula formula. By default the variables are taken from
environment(formula).
an optional vector specifying a subset of observations to be used.
a function which indicates what should happen when
the data contain NAs. Defaults to getOption("na.action").
For all-pairs comparisons in an one-factorial layout with non-normally distributed residuals Baumgartner-Weiß-Schindler 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 bws_test for each pair.
The default test method ("BWS") is the original
Baumgartner-Weiß-Schindler test statistic B. For
method == "Murakami" it is the modified BWS statistic
denoted B*. The calculated p-values for Pr(>|B|)
or Pr(>|B*|) can be adjusted to account for Type I error
inflation using any method as implemented in p.adjust.
Baumgartner, W., Weiss, P., Schindler, H. (1998) A nonparametric test for the general two-sample problem, Biometrics 54, 1129--1135.
Murakami, H. (2006) K-sample rank test based on modified Baumgartner statistic and its power comparison, J. Jpn. Comp. Statist. 19, 1--13.
bws_test.
out <- bwsAllPairsTest(count ~ spray, InsectSprays, p.adjust="holm")
summary(out)
summaryGroup(out)
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