A CONFIDENCE INTERVAL COMPARISON OF TWO TEST PROCEDURES PROPOSED FOR THE BEHRENSFISHER PROBLEM,

Abstract

The procedures of Scheffe and Welch for testing equality of means are compared according to the expected lengths of the confidence intervals they yield, and a criterion is developed for deciding which of the two methods is better in any given situation. An expression for the expected length of the confidence interval for the Scheffe procedure was developed by Scheffe. Because of the asymptotic series nature of the Welch procedure, in this case, the analogous expression is more involved. It is developed below. Graphs are provided to summarize the numerical results. Finally, it is shown that in large samples, the two procedures are equivalent. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0621428

Entities

People

  • S. James Press

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Group Dynamics
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Psychology
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.