Modified Tukey-Willams’ Confidence Intervals for Variance of A in One-Factor Components of Variance Model

• 발행기관: 한국자료분석학회
• 저자명: Kwan-Joong Kang Seung-Youl Lee
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.15 No.3, 1161~1170쪽, 전체 10쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2013.06.30

영문 초록

The confidence intervals for σ²A are given in various forms by many authors in one-factor components-of-variance model yij=μ+Ai+eij. In this model, the simulation results of Tukey (1951) - Willams’ (1962) method confidence intervals for σ²A are not fit exactly for 100(1-a)% confidence intervals. By the simulation results, those confidence intervals are close to 100(1-a)% when J is large but this J is too large to use in the simulation as well as the ranges of width are too wide to use for estimation and test. We gave a new modified Tukey (1951) - Willams’ (1962) method confidence intervals for σ²A in one-factor components of variance model. And we showed by the simulation that our modified confidence intervals for σ²A are better than those obtained by using Tukey (1951) - Willams’ (1962) methods.

목차

1. Introduction

2. One-Factor Components-of-Variance Model

3. Modified Confidence Intervals

4. Simulation Results

5. Results

References

키워드

Confidence intervals Modified confidence intervals One-factor componentsof-variance mode Variance components