Accession Number:

ADA148751

Title:

Exact Simultaneous Confidence Intervals for Pairwise Comparisons of Three Normal Means.

Descriptive Note:

Technical rept.,

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1984-10-01

Pagination or Media Count:

21.0

Abstract:

The problem of simultaneously estimating the pairwise differences of means of three independent normal populations with equal variances is considered. A computational method involving a bivariate t density is used to form confidence intervals with simultaneous coverage probability equal to 1 - alpha. For equal sample sizes, the method is the Tukey studentized range procedure. With unequal sample sizes, the method is superior to the various generalized Tukey methods. A table of probability points is presented for small sample sizes. A large sample approximation based on the bivariate normal and the studentized range distributions is given.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE