BWS All-Pairs Comparison Test
Performs Baumgartner-Weiß-Schindler all-pairs comparison test.
bwsAllPairsTest(x, ...)
## Default S3 method:
bwsAllPairsTest(
x,
g,
method = c("BWS", "Murakami"),
p.adjust.method = p.adjust.methods,
...
)
## S3 method for class 'formula'
bwsAllPairsTest(
formula,
data,
subset,
na.action,
method = c("BWS", "Murakami"),
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 |
method |
a character string specifying the test statistic to use. Defaults to |
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 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.
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.
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.
out <- bwsAllPairsTest(count ~ spray, InsectSprays, p.adjust="holm") summary(out) summaryGroup(out)
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