Pairwise Test for Multiple Comparisons of Mean Rank Sums (Nemenyi-Tests)

Description

Calculate pairwise multiple comparisons between group levels. These tests are sometimes referred to as Nemenyi-tests for multiple comparisons of (mean) rank sums of independent samples.

Usage

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posthoc.kruskal.nemenyi.test(x, ...)

## Default S3 method:
posthoc.kruskal.nemenyi.test( x, g, dist =
c("Tukey", "Chisquare"), ...)

## S3 method for class 'formula'
posthoc.kruskal.nemenyi.test(formula, data, subset,
na.action, dist =
c("Tukey", "Chisquare"), ...)

Arguments

x

a numeric vector of data values, or a list of numeric data vectors.

g

a vector or factor object giving the group for the corresponding elements of x. Ignored if x is a list.

formula

a formula of the form response ~ group where response gives the data values and group a vector or factor of the corresponding groups.

data

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).

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 NAs. Defaults to getOption("na.action").

...

further arguments to be passed to or from methods.

dist

the method for determining the p-value. The default distribution is "Tukey", else "Chisq".

Details

For one-factorial designs with samples that do not meet the assumptions for one-way-ANOVA and subsequent post-hoc tests, the Kruskal-Wallis-Test kruskal.test can be employed that is also referred to as the Kruskal–Wallis one-way analysis of variance by ranks. Provided that significant differences were detected by this global test, one may be interested in applying post-hoc tests according to Nemenyi for pairwise multiple comparisons of the ranked data.

See vignette("PMCMR") for details.

Value

A list with class "PMCMR"

method

The applied method.

data.name

The name of the data.

p.value

The p-value according to the studentized range distribution.

statistic

The estimated upper quantile of the studentized range distribution. (or quantile of Chisq distribution)

p.adjust.method

Defaults to "none"

Note

Only for method = "Chisq" a tie correction is employed.

Author(s)

Thorsten Pohlert

References

Lothar Sachs (1997), Angewandte Statistik. Berlin: Springer. Pages: 395-397, 662-664.

See Also

kruskal.test, friedman.test, posthoc.friedman.nemenyi.test, Tukey, Chisquare

Examples

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