Abstract
Consider the one way unbalanced components of variance model given by Yij = μ + Ai + Eij, (i = l, ... ,a, j = l, ... ,bi) where μ is an unknown constant parameter, Ai and Eij are independent normal random variables with zero means and variances σ2A and σ2E respectively,
The problem is to obtain a confidence interval for σ2A with confidence coefficient greater than or equal to a specified 1 - α. Three new procedures for obtaining confidence intervals for σ2A are examined. These new methods are derived using unweighted means. These three methods are compared with a "standard" procedure based on confidence coefficients and expected "widths".
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Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Graybill, Franklin A. and Fayyad, Rana S.
(1993).
"CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN ONE-WAY UNBALANCED DESIGNS,"
Conference on Applied Statistics in Agriculture.
https://doi.org/10.4148/2475-7772.1368
CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN ONE-WAY UNBALANCED DESIGNS
Consider the one way unbalanced components of variance model given by Yij = μ + Ai + Eij, (i = l, ... ,a, j = l, ... ,bi) where μ is an unknown constant parameter, Ai and Eij are independent normal random variables with zero means and variances σ2A and σ2E respectively,
The problem is to obtain a confidence interval for σ2A with confidence coefficient greater than or equal to a specified 1 - α. Three new procedures for obtaining confidence intervals for σ2A are examined. These new methods are derived using unweighted means. These three methods are compared with a "standard" procedure based on confidence coefficients and expected "widths".
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