teststatistic vs linearstatistic in wilcoxsign_test

In R, wilcoxsign_test in library coin calculates both a "teststatistic" (output as "Z") and a "linearstatistic" (I think this is either Siegel's (1956) T or Glantz' (2005) W).

What is "Z", which should I report, and why?

Example:

x <- 1:10
y <- 11:20
library(coin)
wilcoxsign_test(y ~ x, distribution="exact")
#   Exact Wilcoxon-Signed-Rank Test
#
# data:  y by x (neg, pos)
#    stratified by block
# Z = 3.1623, p-value = 0.001953
# alternative hypothesis: true mu is not equal to 0
wilcoxsign_test(y ~ x, distribution="exact")@statistic@linearstatistic
# [1] 55
wilcoxsign_test(y ~ x, distribution="exact")@statistic@teststatistic
#      neg
# 3.162278

• coin vignettes and JSS article provide an answer to your questions. – Tim Jan 12 '15 at 10:16
• @Tim From the information you gave me, is it correct to say that the symbol for "linearstatistic" is "T"? – user14650 Jan 13 '15 at 12:04
• Yes, and you can extract those using statistic(object, "linear") or statistic(object, "standardized"). – Tim Jan 13 '15 at 12:45