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.
Descriptors:
Subject Categories:
- Statistics and Probability