van-der-Waerden's Many-One Comparisons Normal Scores Test
Performs van-der-Waerden's multiple comparison normal scores test with one control.
vanWaerdenManyOneTest(x, ...)
## Default S3 method:
vanWaerdenManyOneTest(
x,
g,
alternative = c("two.sided", "greater", "less"),
p.adjust.method = c("single-step", p.adjust.methods),
...
)
## S3 method for class 'formula'
vanWaerdenManyOneTest(
formula,
data,
subset,
na.action,
alternative = c("two.sided", "greater", "less"),
p.adjust.method = c("single-step", 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 |
alternative |
the alternative hypothesis. 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 many-to-one comparisons in an one-factorial layout
with non-normally distributed residuals van-der-Waerden's
normal scores transformation can be used prior to
a many-to-one comparison test. A total of m = k-1
hypotheses can be tested. The null hypothesis
H_{i}: F_0(x) = F_i(x) is tested in the two-tailed test
against the alternative
A_{i}: F_0(x) \ne F_i(x), ~~ 1 ≤ i ≤ k-1.
For p.adjust.method = "single-step" the
multivariate t distribution is used to calculate
p-values (see pmvt). Otherwise, the
t-distribution is used for the calculation of p-values
with a latter p-value adjustment as
performed by 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.
Conover, W. J., Iman, R. L. (1979) On multiple-comparisons procedures, Tech. Rep. LA-7677-MS, Los Alamos Scientific Laboratory.
van der Waerden, B. L. (1952) Order tests for the two-sample problem and their power, Indagationes Mathematicae 14, 453–458.
## Data set PlantGrowth
## Global test
vanWaerdenTest(weight ~ group, data = PlantGrowth)
## van-der-Waerden's many-one comparison test
ans <- vanWaerdenManyOneTest(weight ~ group,
data = PlantGrowth,
p.adjust.method = "holm")
summary(ans)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.