Wilcoxon, median, Van der Waerden, and Savage. This section gives formulas for the score types. This enables you to produce a very wide variety of tests. Wilcoxon scores are the ranks of the observations. Wilcoxon scores are locally most powerful for location shifts of a logistic distribution.
Median scores are particularly powerful for distributions that are symmetric and heavy-tailed.
Van der Waerden scores are the quantiles of a standard normal distribution. These scores are also known as quantile normal scores . These scores are powerful for normal distributions. Siegel-Tukey scores are computed as where the score values continue to increase in this pattern towards the middle ranks until all observations have been assigned a score. Mood scores are computed as the square of the difference between each rank and the average rank.