Higgins1990Table1 {ARTool} | R Documentation |

## Synthetic 3x3 Factorial Randomized Experiment

### Description

Synthetic data from a balanced 3x3 factorial experiment with main effects, no interaction, and independent and identically distributed (i.i.d.) Normal errors.

### Format

A data frame with 36 observations on the following 4 variables.

- Subject
a factor with levels

`"s1"`

..`"s36"`

- Row
a factor with levels

`"r1"`

..`"r3"`

- Column
a factor with levels

`"c1"`

..`"c3"`

- Response
a numeric vector

### Source

Higgins, J. J., Blair, R. C. and Tashtoush, S. (1990). The aligned
rank transform procedure. *Proceedings of the Conference on Applied
Statistics in Agriculture*. Manhattan, Kansas: Kansas State University, pp.
185-195.

### See Also

### Examples

```
data(Higgins1990Table1, package = "ARTool")
## run aligned-rank transform and ANOVA on the data
## Note: because there is only one observation per Subject
## in this dataset, we do not need to include Subject as
## a grouping term in this formula. Indeed, if we did,
## lmer would complain when we attempt the ANOVA.
m <- art(Response ~ Row*Column, data=Higgins1990Table1)
anova(m)
```

[Package

*ARTool*version 0.11.1 Index]