SOME BOUNDED SIGNIFICANCE LEVEL TESTS FOR THE MEDIAN

Abstract

In practice it is often permissible to assume that the observations of a set are statistically independent and from continuous populations with a common median. Then the population median can be investigated by using the sign test. For small numbers of observations, however, the sign test does not furnish very many suitable significance levels. Also, some of the sign tests with suitable significance levels are not very efficient. The note presents some tests whose significance levels are only approximate but cover a wide range of suitable values. The significance levels of these tests are exactly determined if the populations are symmetrical; they are bounded otherwise. Some of these bounded significance level tests have high efficiencies.

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Document Details

Document Type
Technical Report
Publication Date
Jun 16, 1950
Accession Number
AD0603882

Entities

People

  • John Walsh

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Data Science
  • Efficiency
  • Information Science
  • Intervals
  • Mathematics
  • Microfiche
  • Normality
  • Observation
  • Reasoning
  • Safety
  • Safety Factor
  • Statistics
  • Symmetry
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.