Two-sample inference based on one-sample Wilcoxon signed rank statistics
type: Item
instance of: scholarly article
title: Two-sample inference based on one-sample Wilcoxon signed rank statistics
zbMATH Open document ID: 0628.62046
DOI: 10.1016/0167-7152(87)90080-0
author: Mara Tableman
author: Thomas P. Hettmansperger
published in: Statistics \& Probability Letters
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62G10
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 4022386
zbMATH Keywords: sign test
zbMATH Keywords: notched box plots
zbMATH Keywords: one-sample Wilcoxon signed rank statistics
zbMATH Keywords: two-sample test
zbMATH Keywords: distribution free confidence intervals
zbMATH Keywords: difference in population medians
zbMATH Keywords: Mann-Whitney two-sample test
describes a project that uses: MINITAB
MaRDI profile type: Publication
full work available at URL: 0167-7152(87)90080-0
OpenAlex ID: W2043311994
cites work: Sequential Confidence Intervals Based on Rank Tests
cites work: Two-Sample Inference Based on One-Sample Sign Statistics
cites work: Q3721605
cites work: Estimates of Location Based on Rank Tests
cites work: On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
cites work: Q3857500
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description: scientific article; zbMATH DE number 4022386