Conduct analyses of variance on aligned rank transformed data.
# S3 method for 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 anova.art
print(x, verbose = FALSE, digits = 5, ...)
An object of class "anova", which usually is printed.
An object of class art.
Which response to run the ANOVA on: the aligned responses
("aligned") or the aligned and ranked responses ("art"). This
argument is passed to artlm. See 'Details'.
Type of ANOVAs to conduct. If type is 1 or
"I", then conducts Type I ANOVAs using anova.
Otherwise, conducts Type II or Type III ANOVAs using Anova.
The default is Type III if the underlying model supports it. Models
fit with Error terms are fit using aov, which only
supports Type I ANOVAs.
The name of the contrast-generating function to be
applied by default to fixed effect factors. See the first element of
options("contrasts"). The default is to use
"contr.sum", i.e. sum-to-zero contrasts, which is appropriate for
Type III ANOVAs (also the default). This argument is passed to
artlm.
Test statistic to use. Default "F". Note that some models
and ANOVA types may not support "Chisq".
Show all rows of the resulting ANOVA tables? By default
(FALSE), shows only the rows that are relevant depending on the type
of response.
Additional arguments passed to Anova or
anova by anova.art or to print by
print.anova.art.
An object of class art.
When TRUE, sums of squares and residual sum of squares
in addition to degrees of freedom are printed in some ANOVA types (e.g.
repeated measures ANOVAs). Default FALSE, for brevity.
Digits of output in printed table; see print.
Matthew Kay
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.
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. tools:::Rd_expr_doi("10.1145/1978942.1978963")
See art for an example. See also
summary.art, artlm.