WRS2: t1way – R documentation

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t1way

A heteroscedastic one-way ANOVA for trimmed means.

Description

The t1way function computes a one-way ANOVA on trimmed means. Homoscedasticity assumption not required. It uses a generalization of Welch's method. Corresponding post hoc tests can be performed using lincon.

Usage

t1way(formula, data, tr = 0.2, alpha = 0.05, nboot = 100)
lincon(formula, data, tr = 0.2, alpha = 0.05)

Arguments

`formula`	an object of class formula.
`data`	an optional data frame for the input data.
`tr`	trim level for the mean.
`alpha`	alpha level for CI computation.
`nboot`	number of bootstrap samples for effect size CI computation.

Details

In the post hoc computations, confidence intervals are adjusted to control FWE, but p-values are not adjusted to control FWE.

Value

t1way returns an object of class "t1way" containing:

`test`	value of the test statistic (F-statistic)
`df1`	degrees of freedom
`df2`	degrees of freedom
`p.value`	p-value
`effsize`	explanatory measure of effect size
`effsize_ci`	boostrap effect size CI
`call`	function call

lincon returns an object of class "mcp1" containing:

`comp`	inference for all pairwise comparisons
`fnames`	names of the factor levels

References

Wilcox, R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Elsevier.

Examples

set.seed(123)
t1way(libido ~ dose, data = viagra)

## post hoc tests
lincon(libido ~ dose, data = viagra)

WRS2

A Collection of Robust Statistical Methods

v1.1-1

GPL-3

Authors

Patrick Mair [cre, aut], Rand Wilcox [aut]

Initial release

2021-02-09