ウィルコクソンの符号順位検定（ふごうじゅんいけんてい、英: Wilcoxon signed-rank test ）は一対の標本によるノンパラメトリック 検定法である。 対応のあるt検定に対応し、対応のあるt検定で必要とされる仮定が満たされない場合に用いる。 ウィルコクソン（Frank Wilcoxon、1892-1965）によって The Wilcoxon signed-rank test tests the null hypothesis that two related paired samples come from the same distribution. In particular, it tests whether the distribution of the differences x-y is symmetric about zero. It is a non-parametric version of the paired T-test. Parameters: An excellent question. As @Glen_b implied, the signed rank test, unlike the Wilcoxon unpaired 2-sample test, is metric-dependent. A better test is the Kornbrot rank difference test discussed here.It has slight problems with discrete data (which create a lot of ties in the data) but is invariant to any monotonic transformation of the scale. Using the Wilcoxon Signed-Rank Test, we can decide whether the corresponding data population distributions are identical without assuming them to follow the normal distribution. Example. In the built-in data set named immer, the barley yield in years 1931 and 1932 of the same field are recorded. The Wilcoxon Signed-Rank Test is the non-parametric version of the paired t-test. It is used to test whether or not there is a significant difference between two population means when the distribution of the differences between the two samples cannot be assumed to be normal. This tutorial explains how to conduct a Wilcoxon Signed-Rank Test in R. Besides, the Wilcoxon Signed Rank test show this median difference is statistically significant. Intepretation. A Wilcoxon signed-rank test determined that there was a statistically significant median decrease in weight (45 pound) when children accepted the treatment compared to not accepted the treatment (67.50 pound), z = -1.97, p = 0.049. .

what is wilcoxon signed rank test