SOME TEST FOR COMPARING PERCENTAGE POINTS OF TWO ARBITRARY CONTINUOUS POPULATIONS

Abstract

Samples are considered from two continuous populations, the first with unique 100 alpha % point theta sub alpha, the second with unique 100 beta % point phi sub beta. The two populations are not necessarily the same or even related. This paper presents some easily applied significance tests for theta sub alpha - phi sub beta which are approximately valid for moderate and large sized samples. The exact significance level of a test is not known but its value is determined within reasonably close limits. Efficiency properties of these tests are investigated for the special case of normal populations with known ratio of variances. The tests are found to be reasonably efficient if alpha and beta are not too large or too small. Since these tests are often valid for moderate as well as large sized samples, they may be of practical value.

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Document Details

Document Type
Technical Report
Publication Date
Aug 02, 1950
Accession Number
AD0603875

Entities

People

  • A. W. Marshall
  • John E. Walsh

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Command And Control
  • Data Science
  • Distribution Functions
  • Efficiency
  • Information Science
  • Intervals
  • Normal Distribution
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Regression Analysis.