TY - JOUR AU - Randles, Ronald H. AB - measurement made after treatment. Anal- ysis of these settings often focuses on the magnitude of the treatment effect which can Wilcoxon [33] proposed a simple yet powerful be measured by forming test for the location of a symmetric popula- tion. (It is also applicable to paired data, as Z = Y − X , Z = Y − X , ... , 1 1 1 2 2 2 will be illustrated later.) Suppose Z , ... , Z 1 n denotes a random sample from a population Z = Y − X . n n n that is continuous and symmetric around θ. The Z’s are analyzed in the fashion described We want to test whether or not the population earlier. The assumption of symmetry on the is located at some specific number θ , i.e., the is very appropriate in these distribution of Z null hypothesis is H : θ = θ . The first step i 0 0 cases, since it is often assumed that, aside is to subtract θ from every Z ,forming 0 i from the treatment effect θ,the twomea- surements would be interchangeable. That Z − θ , Z − θ , ... , TI - Encyclopedia of Statistical Sciences: Wilcoxon Signed Rank Test DA - 2006-08-15 UR - https://www.deepdyve.com/lp/wiley/encyclopedia-of-statistical-sciences-wilcoxon-signed-rank-test-AvJoDVaOnM DP - DeepDyve ER -