Accession Number:

AD0607267

Title:

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

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Press,S. James

Report Date:

1964-10-01

Pagination or Media Count:

9.0

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

Descriptors:

• (*STATISTICAL TESTS
• ANALYSIS)
• (*SERIES(MATHEMATICS)
• NUMERICAL ANALYSIS)
• STATISTICAL DISTRIBUTIONS
• STATISTICAL ANALYSIS
• SPECIAL FUNCTIONS (MATHEMATICAL)
• TRANSFORMATIONS (MATHEMATICS)
• STOCHASTIC PROCESSES
• MATHEMATICAL PREDICTION

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE