# t1way: A heteroscedastic one-way ANOVA for trimmed means. In WRS2: A Collection of Robust Statistical Methods

 t1way R Documentation

## 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, method = "hochberg", ...)
``````

### 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. `method` method to correct the p-value (see `p.adjust`) `...` currently ignored.

### Details

In the post hoc computations, confidence intervals and p-values are adjusted to control FWE. The default for the p-values is to use Hochberg's 1988 sharper Bonferroni procedure.

### 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

`linconv2` returns an object of class `"linconv2"` containing:

### References

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

`med1way`,`t1waybt`

### Examples

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

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

WRS2 documentation built on Nov. 2, 2023, 6:25 p.m.