University of Minnesota, Twin Cities School of Statistics
Title: Fuzzy P-values and Ties in Nonparametric Tests
Author: Charles J. Geyer
Affiliation: School of Statistics, University of Minnesota
Abstract: This article introduces the use of fuzzy P-values (Geyer and Meeden, 2005) with classical nonparametric tests, specifically with the sign test and the one-sample and two-sample Wilcoxon tests, although the ideas it contains can be applied to any test with a discrete test statistic. It provides simple exact fuzzy tests at any level in the presence of ties.
Key words: sign test; Wilcoxon rank sum test; Wilcoxon signed rank test.
Complete text of the preprint report as PDF. The first version of the paper (which is of no further interest) is still available as PDF.
The R package fuzzyRankTests was written to do the
calculations and plots described in the paper. The
design document
for that package contains detailed proofs omitted from the paper.