johnsonTest | R Documentation |
Performs the Johnson-Mehrotra test for testing against ordered alternatives in a balanced one-factorial sampling design.
johnsonTest(x, ...)
## Default S3 method:
johnsonTest(x, g, alternative = c("two.sided", "greater", "less"), ...)
## S3 method for class 'formula'
johnsonTest(
formula,
data,
subset,
na.action,
alternative = c("two.sided", "greater", "less"),
...
)
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 |
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 |
The null hypothesis, H_0: \theta_1 = \theta_2 = \ldots = \theta_k
is tested against a simple order hypothesis,
H_\mathrm{A}: \theta_1 \le \theta_2 \le \ldots \le
\theta_k,~\theta_1 < \theta_k
.
The p-values are estimated from the standard normal distribution.
A list with class "htest"
containing the following components:
a character string indicating what type of test was performed.
a character string giving the name(s) of the data.
the estimated quantile of the test statistic.
the p-value for the test.
the parameters of the test statistic, if any.
a character string describing the alternative hypothesis.
the estimates, if any.
the estimate under the null hypothesis, if any.
Factor labels for g
must be assigned in such a way,
that they can be increasingly ordered from zero-dose
control to the highest dose level, e.g. integers
{0, 1, 2, ..., k} or letters {a, b, c, ...}.
Otherwise the function may not select the correct values
for intended zero-dose control.
It is safer, to i) label the factor levels as given above,
and to ii) sort the data according to increasing dose-levels
prior to call the function (see order
, factor
).
Bortz, J. (1993). Statistik für Sozialwissenschaftler (4th ed.). Berlin: Springer.
Johnson, R. A., Mehrotra, K. G. (1972) Some c-sample nonparametric tests for ordered alternatives. Journal of the Indian Statistical Association 9, 8–23.
kruskalTest
and shirleyWilliamsTest
of the package PMCMRplus,
kruskal.test
of the library stats.
## Example from Sachs (1997, p. 402)
x <- c(106, 114, 116, 127, 145,
110, 125, 143, 148, 151,
136, 139, 149, 160, 174)
g <- gl(3,5)
levels(g) <- c("A", "B", "C")
## Chacko's test
chackoTest(x, g)
## Cuzick's test
cuzickTest(x, g)
## Johnson-Mehrotra test
johnsonTest(x, g)
## Jonckheere-Terpstra test
jonckheereTest(x, g)
## Le's test
leTest(x, g)
## Spearman type test
spearmanTest(x, g)
## Murakami's BWS trend test
bwsTrendTest(x, g)
## Fligner-Wolfe test
flignerWolfeTest(x, g)
## Shan-Young-Kang test
shanTest(x, g)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.