Exact Simultaneous Confidence Intervals for Pairwise Comparisons of Three Normal Means.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1984
- Accession Number
- ADA148751
Entities
People
- J. D. Spurrier
- S. P. Isham
Organizations
- University of South Carolina