# t3way: A three-way ANOVA for trimmed means. In WRS2: A Collection of Robust Statistical Methods

## Description

This function computes a three-way ANOVA for trimmed means with all interactions effects.

## Usage

 `1` ```t3way(formula, data, tr = 0.2, ...) ```

## Arguments

 `formula` an object of class formula. `data` an optional data frame for the input data. `tr` trim level for the mean. `...` currently ignored.

## Value

Returns an object of class `t3way` containing:

 `Qa` first main effect `A.p.value` p-value first main effect `Qb` second main effect `B.p.value` p-value second main effect `Qc` third main effect `C.p.value` p-value third main effect `Qab` first two-way interaction effect `AB.p.value` p-value first two-way interaction effect `Qac` second two-way interaction effect `AC.p.value` p-value second two-way interaction effect `Qbc` third two-way interaction effect `BC.p.value` p-value third two-way interaction effect `Qabc` three-way interaction effect `ABC.p.value` p-value three-way interaction effect `call` function call `varnames` variable names

## References

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

## See Also

`t1way`, `t2way`

## Examples

 `1` ```t3way(aggressive ~ degree*gender*type, data = movie) ```

### Example output

```Call:
t3way(formula = aggressive ~ degree * gender * type, data = movie)

value p.value
degree             3.3089497   0.085
gender             1.3845004   0.260
type               1.7102122   0.207
degree:gender      3.6013168   0.073
degree:type        0.3918961   0.540
gender:type        8.7595078   0.008
degree:gender:type 3.2614250   0.087
```

WRS2 documentation built on July 20, 2021, 9:06 a.m.