# A heteroscedastic one-way ANOVA for trimmed means.

### Description

The `t1way`

function computes a one-way ANOVA for the medians. Homoscedasticity assumption not required. It uses a generalization of Welch's method. Corresponding post hoc tests can be performed using `lincon`

.

### Usage

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### Arguments

`formula` |
an object of class formula. |

`data` |
an optional data frame for the input data. |

`tr` |
trim level for the mean. |

`nboot` |
number of bootstrap samples. |

### 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 |

`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.

### See Also

`med1way`

,`t1waybt`

### Examples

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