Two-Sample Inference Based on One-Sample Wilcoxon Signed Rank Statistics.

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; and Nonparametric confidence intervals.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1986
Accession Number
ADA169691

Entities

People

  • Mara Tableman
  • Thomas P. Hettmansperger

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Asymmetry
  • Body Weight
  • Coefficients
  • Data Science
  • Distribution Functions
  • Distribution Theory
  • Efficiency
  • Information Science
  • Intervals
  • New York
  • Normal Distribution
  • Order Statistics
  • Pennsylvania
  • Statistics
  • Symmetry
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms