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

Abstract

The procedures of Scheffe and Welch were compared according to the expected lengths of the confidence intervals they yield, and a criterion was 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 was developed in detail. Graphs were provided to summarize the numerical results. Finally, it was shown that in large samples, the two procedures are equivalent. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0607267

Entities

People

  • S. James Press

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Sequences

Readers

  • Regression Analysis.