spearmanTest {PMCMRplus} | R Documentation |
Performs a Spearman type test for testing against ordered alternatives.
spearmanTest(x, ...) ## Default S3 method: spearmanTest(x, g, alternative = c("two.sided", "greater", "less"), ...) ## S3 method for class 'formula' spearmanTest( 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: θ_1 = θ_2 = … = θ_k is tested against a simple order hypothesis, H_\mathrm{A}: θ_1 ≤ θ_2 ≤ … ≤ θ_k,~θ_1 < θ_k.
The p-values are estimated from the t 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.
Kloke, J., McKean, J. W. (2015) Nonparametric statistical methods using R. Boca Raton, FL: Chapman & Hall/CRC.
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)