On the Lehmann Power Analysis for the Wilcoxon Rank Sum Test

Abstract

The Wilcoxon Rank Sum (or Mann-Whitney) Test is among the most useful and powerful of the non-parametric hypothesis tests. However, as with many hypothesis tests, when a clear alternative hypothesis and corresponding power analysis is not present, the practical interpretation of results using this test suffers greatly. This paper presents and clarifies an alternative suggested by E. L. Lehmann in 1953 and provides tables of practical use which have not previously been calculated due to computational difficulties.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADP003844

Entities

People

  • J. R. Knaub Jr.

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computer Programming
  • Computer Programs
  • Computer Simulations
  • Computers
  • Extrapolation
  • Flight Simulations
  • Hypotheses
  • Insensitive Explosives
  • Logistics
  • Normal Distribution
  • Observation
  • Probability
  • Probability Distributions
  • Risk
  • Risk Analysis
  • Simulations

Fields of Study

  • Mathematics

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  • Statistical inference.