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Performs Skillings-Mack rank sum test for partially balanced
incomplete block designs or partially balanced random block designs.
The null hypothesis
H
skillingsMackTest(y, ...)# S3 method for default
skillingsMackTest(y, groups, blocks, ...)
A list with class "htest"
containing the following components:
a character string indicating what type of test was performed.
a character string giving the name(s) of the data.
the estimated quantile of the test statistic.
the p-value for the test.
the parameters of the test statistic, if any.
a character string describing the alternative hypothesis.
the estimates, if any.
the estimate under the null hypothesis, if any.
a numeric vector of data values, or a list of numeric data vectors.
a vector or factor object giving the group for the
corresponding elements of "x"
. Ignored with a warning if "x"
is a list.
a vector or factor object giving the block for the
corresponding elements of "x"
.
Ignored with a warning if "x"
is a list.
further arguments to be passed to or from methods.
The function has implemented the test of Skillings and Mack (1981). The test statistic is assymptotically chi-squared distributed with df = k - 1 degrees of freedom.
Skillings, J. H., Mack, G.A. (1981) On the use of a Friedman-type statistic in balanced and unbalanced block designs, Technometrics 23, 171--177.
friedmanTest
, durbinTest
## Example from Hollander and Wolfe 1999,
## originally appeared in Brady 1969.
x <- cbind(c(3,1,5,2,0,0,0,0),
c(5,3,4,NA,2,2,3,2),
c(15,18,21,6,17,10,8,13))
colnames(x) <- c("R", "A", "B")
rownames(x) <- 1:8
skillingsMackTest(x)
## Compare with Friedman Test for CRB
## 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.
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]))
print(y)
friedmanTest(y)
skillingsMackTest(y)
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