Two-sample inference based on one-sample Wilcoxon signed rank statistics

Mara Tableman and Thomas P. Hettmansperger

Statistics & Probability Letters, 1987, vol. 6, issue 2, 97-102

Abstract: A two-sample test is studied which rejects the null hypothesis of equal population medians when two Wilcoxon distribution free confidence intervals are disjoint. A confidence interval for the difference in population medians is constructed by subtracting the endpoints of two one-sample confidence intervals. Two different ways to select the one-sample intervals are presented. A solution that specifies equal confidence coefficients for the one-sample intervals is recommended. All solutions are shown to have the same asymptotic (Pitman) efficiency as the Mann-Whitney two-sample test.

Keywords: Mann-Whitney-Wilcoxon; test; nonparametric; test; sign; test; nonparametric; confidence; intervals; notched; box; plots (search for similar items in EconPapers)
Date: 1987
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