Signed Rank Tests
The R function wilcox.test
(on-line
help) does signed rank tests and confidence intervals.
Confidence Interval Associated with the Signed Rank Test
Using the R Function
The R function wilcox.test also does confidence intervals,
if asked.
By Hand
Select a k, get a confidence interval.
This prints the interval and its actual confidence level (in percent).
The R function outer
(on-line
help) does outer products
of matrices and analogous operations
using operators other than multiplication. Here the result is an
n × n matrix whose i,j
element is xi −
xj.
The R function lower.tri
(on-line
help) produces the indices of the lower triangle of a matrix. These
can be use with subscripting to extract the lower triangle.
The R function psignrank
(on-line
help) calculates the distribution function (DF) of the distribution
under H0 of the test statistic of the signed rank test.
Hodges-Lehmann Estimator Associated with the Signed Rank Test
This is just a long-winded name for the median of the Walsh averages.
The median of the Walsh averages is printed as the (pseudo)median
.
Fuzzy Test
There is an R contributed package fuzzyRankTests that does
the corresponding fuzzy procedures.
do the lower-tailed test, the upper-tailed test, and the two-tailed test, respectively.
Fuzzy Confidence Intervals
The R contributed package fuzzyRankTests also does
fuzzy confidence intervals.
