anova.art {ARTool}  R Documentation 
Aligned Rank Transform Analysis of Variance
Description
Conduct analyses of variance on aligned rank transformed data.
Usage
## S3 method for class 'art'
anova(
object,
response = c("art", "aligned"),
type = c("III", "II", "I", 3, 2, 1),
factor.contrasts = "contr.sum",
test = c("F", "Chisq"),
all.rows = FALSE,
...
)
## S3 method for class 'anova.art'
print(x, verbose = FALSE, digits = 5, ...)
Arguments
object 
An object of class 
response 
Which response to run the ANOVA on: the aligned responses
( 
type 
Type of ANOVAs to conduct. If 
factor.contrasts 
The name of the contrastgenerating function to be
applied by default to fixed effect factors. See the first element of

test 
Test statistic to use. Default 
all.rows 
Show all rows of the resulting ANOVA tables? By default
( 
... 
Additional arguments passed to 
x 
An object of class 
verbose 
When 
digits 
Digits of output in printed table; see 
Details
This function runs several ANOVAs: one for each fixed effect term in the
model object
. In each ANOVA, the independent variables are the same,
but the response is aligned by a different fixed effect term (if response is
"aligned") or aligned and ranked by that fixed effect term (if response is
"art"). These models are generated using artlm
.
From each model, only the relevant output rows are kept (unless
all.rows
is TRUE
, in which case all rows are kept).
When response
is "art"
(the default), only one row is kept
from each ANOVA: the row corresponding to fixed effect term the response was
aligned and ranked by. These results represent nonparametric tests of
significance for the effect of each term on the original response variable.
When response
is "aligned"
, all rows except the row
corresponding to the fixed effect term the response was aligned by are kept.
If the ART procedure is appropriate for this data, these tests should have
all effects "stripped out", and have an F value of ~0. If that is not the
case, another analysis should be considered. This diagnostic is tested by
summary.art
and a warning generated if the F values are not
all approximately 0.
Value
An object of class "anova"
, which usually is printed.
Author(s)
Matthew Kay
References
Wobbrock, J. O., Findlater, L., Gergle, D., and Higgins, J. J. (2011). The aligned rank transform for nonparametric factorial analyses using only ANOVA procedures. Proceedings of the ACM Conference on Human Factors in Computing Systems (CHI '11). Vancouver, British Columbia (May 7–12, 2011). New York: ACM Press, pp. 143–146. doi: 10.1145/1978942.1978963
See Also
See art
for an example. See also
summary.art
, artlm
.