*KCI등재*

*학술저널*

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

- Kwan-Joong Kang Seung-Youl Lee
- 한국자료분석학회
- Journal of The Korean Data Analysis Society (JKDAS)
- Vol.15 No.3
- 등재여부 : KCI등재
- 2013.06
- 1161 - 1170 (10 pages)

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.

1. Introduction

2. One-Factor Components-of-Variance Model

3. Modified Confidence Intervals

4. Simulation Results

5. Results

References