Higgins1990Table1: Synthetic 3x3 Factorial Randomized Experiment

In ARTool: Aligned Rank Transform

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

art, anova.art.

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)

ARTool documentation built on April 11, 2025, 5:41 p.m.