Confidence intervals on the ratio of expected mean squares \((\theta _ 1+\theta _ 2+\theta _ 3)/\theta _ 4\)
type: Item
instance of: scholarly article
title: Confidence intervals on the ratio of expected mean squares \((\theta _ 1+\theta _ 2+\theta _ 3)/\theta _ 4\)
zbMATH Open document ID: 0667.62021
DOI: 10.1016/0167-7152(89)90118-1
author: Nancy J. Birch
author: Richard K. Burdick
published in: Statistics \& Probability Letters
publication date: 1989-01-01T00:00:00Z
review text: This paper considers two methods for constructing confidence intervals on the ratio of expected mean squares \((\theta_ 1+\theta_ 2+\theta_ 3)/\theta_ 4\) in a random model. Numerical integration shows that a modified large sample approximation provides an interval with a confidence coefficient close to the stated level.
Mathematics Subject Classification ID: 62F25
Mathematics Subject Classification ID: 62J10
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 4092565
zbMATH Keywords: variance component
zbMATH Keywords: constructing confidence intervals
zbMATH Keywords: ratio of expected mean squares
zbMATH Keywords: random model
zbMATH Keywords: Numerical integration
zbMATH Keywords: large sample approximation
MaRDI profile type: Publication
full work available at URL: 0167-7152(89)90118-1
OpenAlex ID: W2027779095
cites work: Shortest confidence intervals for the ratio of two normal variances
description: scientific article; zbMATH DE number 4092565