View source: R/frdManyOneDemsarTest.R
frdManyOneDemsarTest | R Documentation |
Performs Demsar's non-parametric many-to-one comparison test for Friedman-type ranked data.
frdManyOneDemsarTest(y, ...)
## Default S3 method:
frdManyOneDemsarTest(
y,
groups,
blocks,
alternative = c("two.sided", "greater", "less"),
p.adjust.method = p.adjust.methods,
...
)
y |
a numeric vector of data values, or a list of numeric data vectors. |
groups |
a vector or factor object giving the group for the
corresponding elements of |
blocks |
a vector or factor object giving the block for the
corresponding elements of |
alternative |
the alternative hypothesis. Defaults to |
p.adjust.method |
method for adjusting p values
(see |
... |
further arguments to be passed to or from methods. |
For many-to-one comparisons (pairwise comparisons with one control) in a two factorial unreplicated complete block design with non-normally distributed residuals, Demsar's test can be performed on Friedman-type ranked data.
Let there be k
groups including the control,
then the number of treatment levels is m = k - 1
.
A total of m
pairwise comparisons can be performed between
the i
-th treatment level and the control.
H_i: \theta_0 = \theta_i
is tested in the two-tailed case against
A_i: \theta_0 \ne \theta_i, ~~ (1 \le i \le m)
.
The p
-values are computed from the standard normal distribution.
Any of the p
-adjustment methods as included in p.adjust
can be used for the adjustment of p
-values.
A list with class "PMCMR"
containing the following components:
a character string indicating what type of test was performed.
a character string giving the name(s) of the data.
lower-triangle matrix of the estimated quantiles of the pairwise test statistics.
lower-triangle matrix of the p-values for the pairwise tests.
a character string describing the alternative hypothesis.
a character string describing the method for p-value adjustment.
a data frame of the input data.
a string that denotes the test distribution.
Demsar, J. (2006) Statistical comparisons of classifiers over multiple data sets, Journal of Machine Learning Research 7, 1–30.
friedmanTest
, friedman.test
,
frdManyOneExactTest
, frdManyOneNemenyiTest
.
## Sachs, 1997, p. 675
## Six persons (block) received six different diuretics
## (A to F, treatment).
## The responses are the Na-concentration (mval)
## in the urine measured 2 hours after each treatment.
## Assume A is the control.
y <- matrix(c(
3.88, 5.64, 5.76, 4.25, 5.91, 4.33, 30.58, 30.14, 16.92,
23.19, 26.74, 10.91, 25.24, 33.52, 25.45, 18.85, 20.45,
26.67, 4.44, 7.94, 4.04, 4.4, 4.23, 4.36, 29.41, 30.72,
32.92, 28.23, 23.35, 12, 38.87, 33.12, 39.15, 28.06, 38.23,
26.65),nrow=6, ncol=6,
dimnames=list(1:6, LETTERS[1:6]))
## Global Friedman test
friedmanTest(y)
## Demsar's many-one test
summary(frdManyOneDemsarTest(y=y, p.adjust = "bonferroni",
alternative = "greater"))
## Exact many-one test
summary(frdManyOneExactTest(y=y, p.adjust = "bonferroni",
alternative = "greater"))
## Nemenyi's many-one test
summary(frdManyOneNemenyiTest(y=y, alternative = "greater"))
## House test
frdHouseTest(y, alternative = "greater")
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